Trigonometry A

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze10.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.2s (39%)

Memory
14.1MiB live, 1 080.1MiB allocated; 231ms collecting garbage
Samples
955.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 755.0ms
ival-sin: 324.0ms (42.9% of total)
ival-cos: 205.0ms (27.1% of total)
ival-mult!: 100.0ms (13.2% of total)
ival-add!: 69.0ms (9.1% of total)
ival-div!: 56.0ms (7.4% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess133.0ms (4.3%)

Memory
-27.8MiB live, 30.2MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02970
110167
232166
397866
4689866
Stop Event
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)

series14.0ms (0.5%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms 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))
3.0ms
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
@-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
@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
@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))

rewrite176.0ms (5.7%)

Memory
7.9MiB live, 197.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471223
02571190
115611156
084451078
Stop Event
iter-limit
node-limit
iter-limit
Counts
55 → 88
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 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (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))
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 #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) (/.f64 #s(literal 1 binary64) (cos.f64 v)))
(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)
(+.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)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #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 (+.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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))

eval11.0ms (0.4%)

Memory
-29.3MiB live, 17.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 962 to 412 computations (57.2% saved)

prune4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New73780
Fresh000
Picked101
Done000
Total74781
Accuracy
99.8%
Counts
81 → 7
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)))
98.3%
(/.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))
47.6%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
Compiler

Compiled 158 to 156 computations (1.3% saved)

series17.0ms (0.5%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
28 → 121
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
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)))) (*.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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) 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 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
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 (* (sin v) e) #s(hole binary64 (* e (sin 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 (+ 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 (/ (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 (+ (* (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 (+ (* -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 (+ (* (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 (/ (* 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 (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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 v))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (- (* 1/120 (pow v 2)) 1/6)))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#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 (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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* 1/120 (pow v 5))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* 1/120 (pow v 4))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (* 1/120 (pow v 2))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) v e (+ (* (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 (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (+ (* 1/120 (* v v)) -1/6) 1/120 (* v v) -1/6 (+ 1 (* e (cos v))) (* e (cos v)))
3.0ms
v
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) v e (+ (* (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 (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (+ (* 1/120 (* v v)) -1/6) 1/120 (* v v) -1/6 (+ 1 (* e (cos v))) (* e (cos v)))
2.0ms
v
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) v e (+ (* (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 (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (+ (* 1/120 (* v v)) -1/6) 1/120 (* v v) -1/6 (+ 1 (* e (cos v))) (* e (cos v)))
2.0ms
e
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) v e (+ (* (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 (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (+ (* 1/120 (* v v)) -1/6) 1/120 (* v v) -1/6 (+ 1 (* e (cos v))) (* e (cos v)))
2.0ms
e
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) v e (+ (* (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 (sin v)) (+ 1 (* e (cos v))) (* e (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (+ (* 1/120 (* v v)) -1/6) 1/120 (* v v) -1/6 (+ 1 (* e (cos v))) (* e (cos v)))

rewrite219.0ms (7.1%)

Memory
7.6MiB live, 191.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04233210
04573053
123692983
099862894
Stop Event
iter-limit
node-limit
iter-limit
Counts
149 → 303
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
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)))) (*.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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) 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 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.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 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 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 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 (+ 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 (/ (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 (+ (* (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 (+ (* -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 (+ (* (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 (/ (* 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 (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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 v))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (- (* 1/120 (pow v 2)) 1/6)))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#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 (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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* 1/120 (pow v 5))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* 1/120 (pow v 4))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* (pow v 4) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(hole binary64 (* (pow v 4) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (* 1/120 (pow v 2))))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(hole binary64 (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))))
Outputs
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.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))
(sin.f64 v)
v
e
(*.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 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 (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 (/.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 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(-.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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 #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 (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) (/.f64 #s(literal 1 binary64) (cos.f64 v)))
(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)
(+.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)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 v)) #s(literal 1 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 e v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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 e v))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (*.f64 e v)) (neg.f64 (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (+.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 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) (*.f64 e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e)))
(/.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 (-.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)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 1 binary64) e)))) (/.f64 (*.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) e)
(+.f64 e #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) e))) (neg.f64 (neg.f64 (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
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(fabs.f64 (*.f64 v v))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(*.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 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 (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 (/.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 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(-.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 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 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 #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 (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))
(*.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 (+.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 (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 (/ v (+ 1 e))) (*.f64 e v))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (+.f64 (neg.f64 (*.f64 e v)) v) e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 e v)) (neg.f64 v)) e) v) e v) e))
#s(approx (/ v (+ 1 e)) v)
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 e v) v) e v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 e v)) (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 (* e (sin v)) (*.f64 (sin.f64 v) 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)))) (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 (+ 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 (fma.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 (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 (fma.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) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) 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 (+ 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 (/.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 (/.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 #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 e v))
#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 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (fma.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 (fma.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 (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 (fma.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 (fma.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 (/.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 #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 (* e (sin v)) (*.f64 e v))
#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 (+ 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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) v)
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* 1/120 (* v v)) -1/6) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (* v v) (*.f64 v 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 (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 (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 v v))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/6 binary64) (*.f64 v v)))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 v v)))))
#s(approx (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1/6 binary64) (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v v))))
#s(approx (+ (* 1/120 (* v v)) -1/6) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* v v)) -1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 v v))) (*.f64 v v)))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1/120 binary64)) (pow.f64 v #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 v v)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (pow.f64 v #s(literal 5 binary64)))))

eval33.0ms (1.1%)

Memory
-5.7MiB live, 39.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 185 to 1 298 computations (59.2% saved)

prune15.0ms (0.5%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New24515260
Fresh112
Picked235
Done000
Total24819267
Accuracy
99.8%
Counts
267 → 19
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)))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) 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))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
48.4%
(/.f64 (*.f64 e #s(approx (sin v) 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))))
99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
47.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
47.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v))))
2.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
4.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)))
47.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 522 to 476 computations (8.8% saved)

series60.0ms (1.9%)

Memory
-44.6MiB live, 56.3MiB allocated; 12ms collecting garbage
Counts
31 → 218
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)))) #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 e v)) v))))
(*.f64 e #s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v)))
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v))
(+.f64 (neg.f64 (*.f64 e v)) v)
(neg.f64 (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
(*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))
(/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) (*.f64 e e))
(*.f64 e e)
(-.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(*.f64 e (sin.f64 v))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)
(/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos 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 (+ (neg (* e v)) v) #s(hole binary64 v))
#s(approx (+ (neg (* e v)) v) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (neg (* e v)) #s(hole binary64 (* -1 (* e v))))
#s(approx (* e v) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v)))))))
#s(approx (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) #s(hole binary64 v))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) #s(hole binary64 (+ v (* e (+ (* -1 v) (* e v))))))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) #s(hole binary64 (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v))))))))
#s(approx (/ (- 1 (* e e)) (- 1 e)) #s(hole binary64 1))
#s(approx (/ (- 1 (* e e)) (- 1 e)) #s(hole binary64 (+ 1 e)))
#s(approx (- 1 (* e e)) #s(hole binary64 1))
#s(approx (- 1 (* e e)) #s(hole binary64 (+ 1 (* -1 (pow e 2)))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (- 1 e) #s(hole binary64 1))
#s(approx (- 1 e) #s(hole binary64 (+ 1 (* -1 e))))
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Calls

6 calls:

TimeVariablePointExpression
19.0ms
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))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (neg (* e v)) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/ v (/ (- 1 (* e e)) (- 1 e))) (/ (- 1 (* e e)) (- 1 e)) (- 1 (* e e)) (* e e) (- 1 e) (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (* e (cos v)) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))))
10.0ms
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))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (neg (* e v)) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/ v (/ (- 1 (* e e)) (- 1 e))) (/ (- 1 (* e e)) (- 1 e)) (- 1 (* e e)) (* e e) (- 1 e) (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (* e (cos v)) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))))
8.0ms
e
@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))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (neg (* e v)) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/ v (/ (- 1 (* e e)) (- 1 e))) (/ (- 1 (* e e)) (- 1 e)) (- 1 (* e e)) (* e e) (- 1 e) (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (* e (cos v)) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))))
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))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (neg (* e v)) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/ v (/ (- 1 (* e e)) (- 1 e))) (/ (- 1 (* e e)) (- 1 e)) (- 1 (* e e)) (* e e) (- 1 e) (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (* e (cos v)) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))))
6.0ms
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))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (neg (* e v)) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/ v (/ (- 1 (* e e)) (- 1 e))) (/ (- 1 (* e e)) (- 1 e)) (- 1 (* e e)) (* e e) (- 1 e) (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (* e (cos v)) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))))

rewrite197.0ms (6.4%)

Memory
37.3MiB live, 127.6MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09118888
09427302
159847302
081097058
Stop Event
iter-limit
node-limit
iter-limit
Counts
249 → 370
Calls
Call 1
Inputs
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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)))) #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 e v)) v))))
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#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v))
(+.f64 (neg.f64 (*.f64 e v)) v)
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Outputs
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#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))
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#s(approx (/ v (/ (- 1 (* e e)) (- 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)))
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#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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)))
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#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
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#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 (fma.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 (fma.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 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (+.f64 #s(literal 1 binary64) e))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
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#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 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 (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 (fma.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 (fma.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)))
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#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/2 binary64) (*.f64 e (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 (*.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)) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 (*.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)) #s(literal 1/24 binary64))))) (*.f64 v v) (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 (*.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)) #s(literal -1/2 binary64)))) (*.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 (/ v (/ (- 1 (* e e)) (- 1 e)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* e (/ v (/ (- 1 (* e e)) (- 1 e)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))))
#s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) (-.f64 #s(literal 1 binary64) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) 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))
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#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 (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (+.f64 #s(literal 1 binary64) e))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 e e) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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 #s(literal -2/45 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/720 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))))))) (*.f64 v v) (*.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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))) (*.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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 #s(literal 1/720 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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) (*.f64 #s(literal -1/2 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#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) #s(literal 1 binary64)) e))
#s(approx (- 1 (* e (cos v))) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (- 1 (* e (cos v))) (-.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/24 binary64) e)) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#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 (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (* (* e (cos v)) (* e (cos v))) (*.f64 e e))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 (neg.f64 (*.f64 e e)) (*.f64 v v) (*.f64 e e)))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (*.f64 v v) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (*.f64 v v) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) (*.f64 v v) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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) 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 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
#s(approx (- 1 (* e (cos v))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (*.f64 (*.f64 e 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 (cos.f64 v) e)))))
#s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v))

eval37.0ms (1.2%)

Memory
-0.8MiB live, 44.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 826 to 1 701 computations (70.8% saved)

prune38.0ms (1.2%)

Memory
-24.3MiB live, 27.5MiB allocated; 24ms collecting garbage
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New28715302
Fresh4711
Picked325
Done123
Total29526321
Accuracy
99.8%
Counts
321 → 26
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)))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) 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) #s(approx (- 1 (* e (cos v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
97.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
48.4%
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
98.3%
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.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))))
99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.8%
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
48.2%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
47.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
28.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
24.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
42.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
28.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (neg.f64 e) v)))))
4.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)))
47.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 882 to 760 computations (13.8% saved)

series41.0ms (1.3%)

Memory
-1.4MiB live, 44.6MiB allocated; 4ms collecting garbage
Counts
37 → 241
Calls
Call 1
Inputs
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
e
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
(*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e))))
#s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))
#s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e))
(*.f64 (-.f64 (/.f64 v e) v) e)
(-.f64 (/.f64 v e) v)
(/.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) 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)
(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)
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
(*.f64 (*.f64 v v) e)
(*.f64 v v)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(*.f64 e (sin.f64 v))
(-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)
(-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
Outputs
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (sin v))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (sin v)))
#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos 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 (* (sin v) e) #s(hole binary64 (* e (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 (* e v)) v) #s(hole binary64 v))
#s(approx (+ (neg (* e v)) v) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (* (- (/ v e) v) e) #s(hole binary64 v))
#s(approx (* (- (/ v e) v) e) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (- (/ v e) v) #s(hole binary64 (/ v e)))
#s(approx (- (/ v e) v) #s(hole binary64 (/ (+ v (* -1 (* e v))) e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) #s(hole binary64 (* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) #s(hole binary64 (* e (- (* 1/120 (pow v 2)) 1/6))))
#s(approx (* (* v v) e) #s(hole binary64 (* e (pow v 2))))
#s(approx (* -1/6 e) #s(hole binary64 (* -1/6 e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* -1 (* e (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (+ (* -1 (* (cos v) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))))) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 1))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 (+ 1 (* e (- (* -1 (* e (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 1))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ 1 (* e (- (* e (- (* e (pow (cos v) 3)) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* (pow e 2) (pow (cos v) 2))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* (pow e 2) (+ (* e (pow (cos v) 3)) (pow (cos v) 2)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (pow (cos v) 4)) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (- (* e (pow (cos v) 5)) (* -1 (pow (cos v) 4)))) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (* (* e (cos v)) (* e (cos v))) #s(hole binary64 (* (pow e 2) (pow (cos v) 2))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (* e (cos v)))))
#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)))
#s(approx (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (* e (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (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))))) 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 (+ (neg (* e v)) v) #s(hole binary64 (* -1 (* e v))))
#s(approx (+ (neg (* e v)) v) #s(hole binary64 (* e (- (/ v e) v))))
#s(approx (* (- (/ v e) v) e) #s(hole binary64 (* -1 (* e v))))
#s(approx (* (- (/ v e) v) e) #s(hole binary64 (* e (+ (* -1 v) (/ v e)))))
#s(approx (- (/ v e) v) #s(hole binary64 (* -1 v)))
#s(approx (- (/ v e) v) #s(hole binary64 (- (/ v e) v)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos 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 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 (* e (cos v))))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 (* e (- (/ 1 e) (* -1 (cos v))))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (/ -1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) (pow e 2))) (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))) e)))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* e (- (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* e (+ (* -1 (cos v)) (* -1 (/ (+ 1 (/ 1 (* e (cos v)))) e))))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (* e (- (+ (* -1 (cos v)) (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) (pow e 2)))) (/ 1 e)))))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (* e (- (/ 1 e) (cos v)))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
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#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
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#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (/ 1 (- 1 e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ (* -1/2 (/ (* e (pow v 2)) (pow (- 1 e) 2))) (/ 1 (- 1 e)))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2)))))) (* 1/2 (/ e (pow (- 1 e) 2))))) (/ 1 (- 1 e)))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ e (pow (- 1 e) 2))) (* 1/48 (/ (pow e 2) (pow (- 1 e) 3))))))) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2)))))) (* 1/2 (/ e (pow (- 1 e) 2))))) (/ 1 (- 1 e)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (/ (pow e 2) (- 1 e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (* 1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))))))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (+ (* 1/3 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (* -2/45 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* 1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e)))))) (- 1 e)))))))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))))))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (* (* e (cos v)) (* e (cos v))) #s(hole binary64 (pow e 2)))
#s(approx (* (* e (cos v)) (* e (cos v))) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))))
#s(approx (* (* e (cos v)) (* e (cos v))) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))))
#s(approx (* (* e (cos v)) (* e (cos v))) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))))
#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 (- 1 (* e (cos v))) #s(hole binary64 (- 1 e)))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (- (+ 1 (* 1/2 (* e (pow v 2)))) e)))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e)))) e)))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e)))) e)))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 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 (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* 1/120 (* e (pow v 5)))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) #s(hole binary64 (* 1/120 (* e (pow v 4)))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) #s(hole binary64 (* (pow v 4) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) #s(hole binary64 (* 1/120 (* e (pow v 2)))))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) #s(hole binary64 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))))
#s(approx (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) #s(hole binary64 (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v)))))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(hole binary64 (/ 1 (- 1 (* e (cos v))))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) #s(hole binary64 (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))
#s(approx (- 1 (* e (cos v))) #s(hole binary64 (- 1 (* e (cos v)))))
#s(approx (+ (neg (* e v)) v) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (- (/ v e) v) e) #s(hole binary64 (* -1 (* e (* v (- 1 (/ 1 e)))))))
#s(approx (- (/ v e) v) #s(hole binary64 (* -1 (* v (- 1 (/ 1 e))))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) #s(hole binary64 (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
v
@-inf
((* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) e (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (sin v) v (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (* (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* (* v v) e) (* v v) 1/120 (* -1/6 e) -1/6 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))) (* e (cos v)) (- 1 (* e (cos v))))
6.0ms
e
@-inf
((* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) e (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (sin v) v (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (* (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* (* v v) e) (* v v) 1/120 (* -1/6 e) -1/6 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))) (* e (cos v)) (- 1 (* e (cos v))))
6.0ms
v
@inf
((* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) e (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (sin v) v (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (* (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* (* v v) e) (* v v) 1/120 (* -1/6 e) -1/6 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))) (* e (cos v)) (- 1 (* e (cos v))))
5.0ms
e
@inf
((* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) e (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (sin v) v (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (* (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* (* v v) e) (* v v) 1/120 (* -1/6 e) -1/6 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))) (* e (cos v)) (- 1 (* e (cos v))))
5.0ms
v
@0
((* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) e (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (sin v) v (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ (neg (* e v)) v) (* (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* (* v v) e) (* v v) 1/120 (* -1/6 e) -1/6 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v))))) (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (* (* e (cos v)) (* e (cos v))) (* e (cos v)) (- 1 (* e (cos v))))

rewrite223.0ms (7.2%)

Memory
32.0MiB live, 168.3MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010219795
010598365
165478365
085168098
Stop Event
iter-limit
node-limit
iter-limit
Counts
278 → 391
Calls
Call 1
Inputs
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
e
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
(*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e))))
#s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))
#s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e))
(*.f64 (-.f64 (/.f64 v e) v) e)
(-.f64 (/.f64 v e) v)
(/.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) 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)
(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)
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
(*.f64 (*.f64 v v) e)
(*.f64 v v)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(*.f64 e (sin.f64 v))
(-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)
(-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (sin v))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* e (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (sin v)))
#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* (sin v) (/ 1 (+ (* (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) (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos 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 (* (sin v) e) #s(hole binary64 (* e (sin v))))
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Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (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 (*.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
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#s(approx (* e (/ v (+ 1 e))) v)
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#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))
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#s(approx (* (- (/ v e) v) e) (*.f64 (neg.f64 e) v))
#s(approx (* (- (/ v e) v) e) (*.f64 (-.f64 (/.f64 v e) v) e))
#s(approx (- (/ v e) v) (neg.f64 v))
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#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (tan.f64 v))
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#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
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#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
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#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) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) 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 (* e v)) v) (*.f64 (neg.f64 e) (-.f64 (/.f64 (neg.f64 v) e) (neg.f64 v))))
#s(approx (* (- (/ v e) v) e) (*.f64 (neg.f64 e) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (neg.f64 e) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal -1 binary64)) v)))
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#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (neg.f64 e) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal 1/6 binary64))))
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#s(approx (+ (* (cos v) e) 1) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
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#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (*.f64 (neg.f64 e) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
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#s(approx (- 1 (* e (cos v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))
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#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (fma.f64 v (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 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (* (sin v) (/ 1 (+ (* (cos v) e) 1))) (fma.f64 v (*.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 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (* (sin v) (/ 1 (+ (* (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 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (fma.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 (fma.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 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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))) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/48 binary64)))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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) (*.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) e) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.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 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.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 (fma.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 (fma.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 (+ (* (cos v) e) 1)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (*.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 (+ (* (cos v) e) 1)))) (*.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 (+ (* (cos v) e) 1)))) (*.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 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (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) 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 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) v) v e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) 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 (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* (- (/ v e) v) e) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e))
#s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) 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 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) v) v e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 v e))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) v) v e) v))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) e)
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) v) v e))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 #s(literal -1/6 binary64) e))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (fma.f64 (*.f64 #s(literal 1/120 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)))
#s(approx (* v v) (*.f64 v v))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) 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 (+ (* (cos v) e) 1)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) 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 (+ (* (cos v) e) 1)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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 #s(literal -2/45 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/720 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))))))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.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 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) 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 (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 e e) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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 #s(literal -2/45 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/720 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))))))) (*.f64 v v) (*.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (fma.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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))) (*.f64 (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (- 1 (* e (cos v)))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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 #s(literal 1/720 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/4 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) (*.f64 #s(literal -1/2 binary64) (/.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e 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 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 e e) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (* (* e (cos v)) (* e (cos v))) (*.f64 e e))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 e e (neg.f64 (*.f64 (*.f64 e e) (*.f64 v v)))))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (*.f64 v v) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (* (* e (cos v)) (* e (cos v))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (*.f64 v v) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) (*.f64 v v) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (* e (cos v)) e)
#s(approx (* e (cos v)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 v v) e) e))
#s(approx (* e (cos v)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.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 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (- 1 (* e (cos v))) (-.f64 #s(literal 1 binary64) e))
#s(approx (- 1 (* e (cos v))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) e) #s(literal 1 binary64)) e))
#s(approx (- 1 (* e (cos v))) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (- 1 (* e (cos v))) (-.f64 (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/24 binary64) e)) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (sin v) (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) e) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)) (pow.f64 v #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e (/.f64 e (*.f64 (*.f64 v v) (*.f64 v v))))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) e) #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e))))
#s(approx (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e (/.f64 e (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 (*.f64 v v) (*.f64 v v))))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64)))
#s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v)))
#s(approx (* e (* (sin v) (/ 1 (+ (* (cos v) e) 1)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ 1 (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
#s(approx (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))) (*.f64 (*.f64 e 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 (cos.f64 v) e)))))
#s(approx (- 1 (* e (cos v))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* (- (/ v e) v) e) (*.f64 (neg.f64 e) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (- (/ v e) v) (*.f64 (neg.f64 v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (neg.f64 (*.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) e)) (pow.f64 v #s(literal 5 binary64)))))
#s(approx (* (+ (* (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (* v v)) e) v) (neg.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (+.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) e)) (/.f64 (neg.f64 e) (*.f64 (*.f64 v v) (*.f64 v v)))))))

eval41.0ms (1.3%)

Memory
7.3MiB live, 52.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 090 to 1 942 computations (68.1% saved)

prune26.0ms (0.8%)

Memory
-15.0MiB live, 31.4MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New3186324
Fresh21517
Picked235
Done044
Total32228350
Accuracy
99.8%
Counts
350 → 28
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)))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
97.8%
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
98.3%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) 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))
97.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) #s(literal 1 binary64)))))
48.4%
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
98.3%
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.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))))
99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.8%
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
98.8%
(*.f64 e (*.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) e) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
48.2%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
47.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
28.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
24.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
42.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
28.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (neg.f64 e) v)))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
47.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
4.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
Compiler

Compiled 928 to 676 computations (27.2% saved)

regimes37.0ms (1.2%)

Memory
-13.3MiB live, 32.1MiB allocated; 4ms collecting garbage
Counts
44 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.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 e (*.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) e) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.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 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 (* e (cos v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))))
Outputs
(*.f64 e (*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
Calls

3 calls:

12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
v
11.0ms
e
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)

regimes31.0ms (1%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Counts
40 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.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 e (*.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) e) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

10.0ms
v
10.0ms
e
9.0ms
(/.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)

regimes46.0ms (1.5%)

Memory
-23.4MiB live, 27.7MiB allocated; 7ms collecting garbage
Counts
36 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
Outputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
Calls

3 calls:

26.0ms
e
9.0ms
v
9.0ms
(/.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)

regimes28.0ms (0.9%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Counts
35 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) #s(approx (- 1 (* e (cos v))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(approx (/ 1 (- 1 (* e (cos v)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e))) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))) (/.f64 (*.f64 #s(approx (* e (cos v)) e) #s(approx (* e (cos v)) e)) (-.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64)))
Calls

3 calls:

9.0ms
v
9.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.3%1e
98.3%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes22.0ms (0.7%)

Memory
-19.0MiB live, 27.4MiB allocated; 2ms collecting garbage
Counts
24 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

8.0ms
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%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
97.8%1e
97.8%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes21.0ms (0.7%)

Memory
-18.9MiB live, 27.5MiB allocated; 2ms collecting garbage
Counts
23 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e #s(approx (sin v) 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)) (+.f64 (neg.f64 (*.f64 e v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 #s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (neg.f64 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 #s(approx (+ (* (* (* v v) e) 1/120) (* -1/6 e)) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) #s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 #s(approx (- 1 (* e e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) v) (*.f64 (neg.f64 e) v)) (*.f64 v v)) (-.f64 (*.f64 (neg.f64 e) v) v)))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
6.0ms
v
6.0ms
e
Results
AccuracySegmentsBranch
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes7.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (* e (cos v)) (* e (cos v))) (- 1 (* e (cos v)))))) (*.f64 #s(approx (/ v (/ (- 1 (* e e)) (- 1 e))) (fma.f64 e (neg.f64 v) v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) v) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))))
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
48.2%1v
48.2%1e
48.2%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)

regimes6.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
4 → 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) #s(approx (+ (neg (* e v)) 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 #s(approx (sin v) 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
47.9%1e
47.9%1v
47.9%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
6.7MiB live, 6.7MiB 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
4.3%1e
4.3%1v
4.3%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)

derivations272.0ms (8.8%)

Memory
21.4MiB live, 113.6MiB allocated; 12ms collecting garbage
Stop Event
fuel
Compiler

Compiled 66 to 45 computations (31.8% saved)

preprocess121.0ms (3.9%)

Memory
-27.5MiB live, 110.3MiB allocated; 12ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 293 to 270 computations (7.8% saved)

end0.0ms (0%)

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

Profiling

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