Metrics for Trigonometry A

start0.0ms (0%)

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

analyze39.0ms (0.5%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.5s (20.3%)

Memory

-18.7MiB live, 1 382.0MiB allocated; 251ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 884.0ms

ival-sin: 401.0ms (45.4% of total)

ival-cos: 318.0ms (36% of total)

ival-mult!: 94.0ms (10.6% of total)

ival-div!: 40.0ms (4.5% of total)

ival-add!: 28.0ms (3.2% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess87.0ms (1.2%)

Memory

-25.0MiB live, 26.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	70
1	92	67
2	241	66
3	635	66
4	3821	66

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 (0.2%)

Memory

17.4MiB live, 17.4MiB 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:

Time	Variable		Point	Expression
3.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms	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	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))
2.0ms	e	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) e (sin v) v (+ 1 (* e (cos v))) 1 (* e (cos v)) (cos v))

rewrite807.0ms (11.2%)

Memory

17.0MiB live, 777.0MiB allocated; 106ms collecting garbage

Counts

55 → 72

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))

Outputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (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 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+.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 (.f64 (cos.f64 v) e) (.f64 (cos.f64 v) e))) (-.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 (.f64 (.f64 (cos.f64 v) e) (.f64 (cos.f64 v) e)) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(cos.f64 v)
(cos.f64 (neg.f64 v))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (+.f64 (neg.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) e) (.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)) (sin.f64 v)) e)) (neg.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 (.f64 e e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e))
#s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) 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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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 (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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 (.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))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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 (.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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 (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.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)) (*.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 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.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 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #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 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) (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 (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) 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 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.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 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #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))

eval7.0ms (0.1%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 766 to 341 computations (55.5% saved)

prune14.0ms (0.2%)

Memory

-35.5MiB live, 11.4MiB allocated; 2ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Accuracy

99.8%

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
▶	99.8%	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
	98.5%	#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))
▶	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 204 to 194 computations (4.9% saved)

series51.0ms (0.7%)

Memory

13.1MiB live, 59.9MiB allocated; 1ms collecting garbage

Counts

27 → 182

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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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)))
(fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
#s(literal -1/6 binary64)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
#s(literal 1/2 binary64)
(/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e e)
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))
(*.f64 v v)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))

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 (* e v) #s(hole binary64 (* e v)))
#s(approx (+ 1 e) #s(hole binary64 1))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (* v (+ 1 (* -7/6 (pow v 2))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (+ (* e (* v (- (* 5/3 (pow v 2)) 1))) (* v (+ 1 (* -7/6 (pow v 2)))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (* -7/6 (pow v 2))))) 1)))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (+ (* -7/6 (pow v 2)) (* e (- (* 5/3 (pow v 2)) 1)))))) 1)))))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* -1/6 e)))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* 2/3 e) 1/6))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 e))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* 1/2 (pow e 2))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* -1 e)))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* e (- (* 3/2 e) 1))))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* e (- (* e (+ 3/2 (* -2 e))) 1))))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (pow e 2)))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* -2 e)))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* e (- (* 3 e) 2))))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* e (- (* e (+ 3 (* -4 e))) 2))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 1))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 (+ 1 (* 2 e))))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 (+ 1 (* e (+ 2 e)))))
#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 (/ (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 (/ (* (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))))))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	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)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) -1/6 (/ e (+ 1 e)) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))) (* e e) (* (+ 1 e) (+ 1 e)) (* v v) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)))
6.0ms	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)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) -1/6 (/ e (+ 1 e)) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))) (* e e) (* (+ 1 e) (+ 1 e)) (* v v) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)))
4.0ms	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)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) -1/6 (/ e (+ 1 e)) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))) (* e e) (* (+ 1 e) (+ 1 e)) (* v v) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)))
4.0ms	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)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) -1/6 (/ e (+ 1 e)) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))) (* e e) (* (+ 1 e) (+ 1 e)) (* v v) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)))
4.0ms	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)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) -1/6 (/ e (+ 1 e)) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))) (* e e) (* (+ 1 e) (+ 1 e)) (* v v) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)))

rewrite1.5s (20.5%)

Memory

33.5MiB live, 1 024.7MiB allocated; 127ms collecting garbage

Counts

209 → 282

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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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)))
(fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))
#s(literal -1/6 binary64)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
#s(literal 1/2 binary64)
(/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e e)
(*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))
(*.f64 v v)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#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 (* e v) #s(hole binary64 (* e v)))
#s(approx (+ 1 e) #s(hole binary64 1))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (* v (+ 1 (* -7/6 (pow v 2))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (+ (* e (* v (- (* 5/3 (pow v 2)) 1))) (* v (+ 1 (* -7/6 (pow v 2)))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (* -7/6 (pow v 2))))) 1)))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (+ (* -7/6 (pow v 2)) (* e (- (* 5/3 (pow v 2)) 1)))))) 1)))))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* -1/6 e)))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* 2/3 e) 1/6))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 e))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* 1/2 (pow e 2))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* -1 e)))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* e (- (* 3/2 e) 1))))))
#s(approx (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e)))) #s(hole binary64 (* (pow e 2) (+ 1/2 (* e (- (* e (+ 3/2 (* -2 e))) 1))))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (pow e 2)))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* -2 e)))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* e (- (* 3 e) 2))))))
#s(approx (/ (* e e) (* (+ 1 e) (+ 1 e))) #s(hole binary64 (* (pow e 2) (+ 1 (* e (- (* e (+ 3 (* -4 e))) 2))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 1))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 (+ 1 (* 2 e))))
#s(approx (* (+ 1 e) (+ 1 e)) #s(hole binary64 (+ 1 (* e (+ 2 e)))))
#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 (/ (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 (/ (* (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 (+ 1 e) #s(hole binary64 e))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (* v (+ 1 (* 1/3 (pow v 2))))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e)))))
#s(approx (* (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* -11/6 (pow v 2)) 1)) (pow e 3)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (+ 1 (* 1/3 (pow v 2)))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (/ 1 e))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))) (/ 1 e))))
#s(approx (+ (* (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) (* v v)) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 1/3))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (- 1/3 (* 5/6 (/ 1 e)))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))))
#s(approx (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (* e e) (* (+ 1 e) (+ 1 e))))) #s(hole binary64 (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 1))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
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#s(approx (sin v) #s(hole binary64 v))
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#s(approx v #s(hole binary64 v))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
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#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)))))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
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#s(approx (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) (.f64 (-.f64 (.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/3 binary64) e) #s(literal 7/6 binary64)) e #s(literal 2/3 binary64)) e) #s(literal 1/6 binary64)) e))
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#s(approx (/ e (+ 1 e)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
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#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (.f64 (.f64 e e) #s(literal 1/2 binary64)))
#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (.f64 (+.f64 (neg.f64 e) #s(literal 1/2 binary64)) (.f64 e e)))
#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/2 binary64) e) #s(literal 1 binary64)) e #s(literal 1/2 binary64)) (*.f64 e e)))
#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2 binary64) e #s(literal 3/2 binary64)) e) #s(literal 1 binary64)) e #s(literal 1/2 binary64)) (*.f64 e e)))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (*.f64 e e))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (.f64 (fma.f64 #s(literal -2 binary64) e #s(literal 1 binary64)) (.f64 e e)))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 3 binary64) e) #s(literal 2 binary64)) e #s(literal 1 binary64)) (*.f64 e e)))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4 binary64) e #s(literal 3 binary64)) e) #s(literal 2 binary64)) e #s(literal 1 binary64)) (*.f64 e e)))
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#s(approx (pow (+ 1 e) 2) #s(literal 1 binary64))
#s(approx (pow (+ 1 e) 2) (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)))
#s(approx (pow (+ 1 e) 2) (fma.f64 (+.f64 #s(literal 2 binary64) e) 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 e (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (fma.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) e) (.f64 (sin.f64 v) (cos.f64 v))) e (sin.f64 v))))
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#s(approx (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) (-.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (.f64 e e)) #s(literal 1/3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) e)) #s(literal 11/6 binary64) (/.f64 (.f64 #s(literal 5/6 binary64) #s(literal 1 binary64)) e))))
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#s(approx (/ (* e e) (pow (+ 1 e) 2)) (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) (.f64 e e)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) #s(literal 1 binary64)) e)))
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#s(approx (pow (+ 1 e) 2) (*.f64 e e))
#s(approx (pow (+ 1 e) 2) (.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (.f64 e e)))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
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#s(approx (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (*.f64 #s(literal 4/3 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 1/3 binary64)))
#s(approx (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 #s(literal 11/6 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 5/6 binary64)) e)) #s(literal 1/3 binary64)))
#s(approx (/ e (+ 1 e)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) #s(literal 1 binary64)))
#s(approx (/ e (+ 1 e)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) #s(literal 1 binary64)) e)) #s(literal 1 binary64)))
#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/2 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 1/2 binary64)))
#s(approx (/ (* (* e e) 1/2) (pow (+ 1 e) 2)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 1 binary64)) e)) #s(literal 1/2 binary64)))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 1 binary64)))
#s(approx (/ (* e e) (pow (+ 1 e) 2)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 4 binary64) #s(literal 1 binary64)) e)) e)) #s(literal 2 binary64)) e)) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (sin v) (+ 1 (* e (cos v)))) (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (/ (sin v) (+ 1 (* e (cos v)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (/ (sin v) (+ 1 (* e (cos v)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.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)) (*.f64 e v))
#s(approx (* e (sin v)) (.f64 (fma.f64 (.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))
#s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) e) (.f64 v v) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (sin v) v)
#s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) e) (.f64 v v) (.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 (fma.f64 (.f64 #s(literal -1/720 binary64) e) (.f64 v v) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v)) #s(literal 1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (fma.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (* v v) (*.f64 v v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.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) (+ 1 (* e (cos v)))) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (sin v) (+ 1 (* e (cos v)))) (.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 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) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) #s(literal 1 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 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.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 (.f64 #s(literal 1/6 binary64) #s(literal 1 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) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (neg.f64 (.f64 (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) #s(literal 1 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 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) 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 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 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 (.f64 #s(literal 1/5040 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)))) (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 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.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 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v))
#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))
#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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 (.f64 v v) v)))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 e (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e))))) (.f64 (*.f64 v v) v)))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 e (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)))
#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) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (neg.f64 (.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (neg.f64 e) (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e)))) (.f64 (.f64 v v) v))))

eval63.0ms (0.9%)

Memory: -7.7MiB live, 44.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 298 to 1 565 computations (63.6% saved)

prune52.0ms (0.7%)

Memory

-26.1MiB live, 20.7MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	269	14	283
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	273	17	290

Accuracy

99.8%

Counts

290 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.3%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
▶	99.8%	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #s(approx (+ 1 e) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
	20.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) #s(literal 3 binary64)) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 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))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) v))
✓	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v))
	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
▶	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
▶	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
▶	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
▶	4.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))

Compiler

Compiled 686 to 574 computations (16.3% saved)

series29.0ms (0.4%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

31 → 125

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
#s(approx (/ (* e v) (+ 1 e)) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e))
(*.f64 (fma.f64 (neg.f64 e) v v) e)
(fma.f64 (neg.f64 e) v v)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 v v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 v v))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)

Outputs
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))))
#s(approx e #s(hole binary64 e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e v)))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e v)))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e (+ v (* -1 (* e 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) #s(hole binary64 (* -1 e)))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 v))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* -1 (* (pow e 2) v))))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* (pow e 2) (+ (* -1 v) (/ v e)))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e v))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* e (+ (* -1 v) (/ v e)))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e)))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* v (+ 1 (* -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 (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#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 (* 1/120 (* v v)) #s(hole binary64 (* 1/120 (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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1/6 (pow v 3))))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* -1/6 (pow v 2))))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))))
#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 (* (+ (* (neg e) v) v) e) #s(hole binary64 (* -1 (* e (* v (- e 1))))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* -1 (* v (- e 1)))))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 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:

Time	Variable		Point	Expression
5.0ms	v	@	-inf	((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ (* (neg e) v) v) e) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (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)) 1/120 1/6)
5.0ms	v	@	inf	((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ (* (neg e) v) v) e) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (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)) 1/120 1/6)
4.0ms	e	@	inf	((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ (* (neg e) v) v) e) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (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)) 1/120 1/6)
4.0ms	v	@	0	((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ (* (neg e) v) v) e) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (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)) 1/120 1/6)
3.0ms	e	@	-inf	((* (sin v) (/ e (+ (* (cos v) e) 1))) (sin v) v (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ (* (neg e) v) v) e) (+ (* (neg e) v) v) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6 (* v v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (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)) 1/120 1/6)

rewrite1.2s (16.5%)

Memory

5.5MiB live, 283.8MiB allocated; 30ms collecting garbage

Counts

156 → 236

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(sin.f64 v)
v
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
#s(approx (/ (* e v) (+ 1 e)) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e))
(*.f64 (fma.f64 (neg.f64 e) v v) e)
(fma.f64 (neg.f64 e) v v)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 v v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 v v))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 e))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))))
#s(approx e #s(hole binary64 e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e v)))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ (* e v) (+ 1 e)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e v)))
#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e (+ v (* -1 (* e 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) #s(hole binary64 (* -1 e)))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin 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 (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (cos v))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))))
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#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))))
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#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 e))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
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#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))))
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#s(approx (* (+ (* (neg e) v) v) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (+ (* (neg e) v) v) #s(hole binary64 (* v (+ 1 (* -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)))))))))
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#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 v))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
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#s(approx (* (+ (* (- (* 1/120 (* v v)) 1/6) (* v v)) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
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#s(approx (* (sin v) (/ e (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (/ e (+ (* (cos v) e) 1)) #s(hole binary64 (/ e (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
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Outputs
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e
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (sin v) v)
#s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (/ e (+ 1 (* e (cos v)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 e e) (.f64 v v)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ 1 (* e (cos v)))) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ 1 (* e (cos v)))) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (.f64 v v))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (+ 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 #s(literal 1/24 binary64) e) (.f64 v v) (.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 (fma.f64 (.f64 #s(literal -1/720 binary64) e) (.f64 v v) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v)) #s(literal 1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (* e (+ v (neg (* e v)))) (*.f64 e (fma.f64 v (neg.f64 e) v)))
#s(approx (+ v (neg (* e v))) (fma.f64 v (neg.f64 e) v))
#s(approx (* e (sin v)) (*.f64 v e))
#s(approx (* e (sin v)) (.f64 (fma.f64 (.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))
#s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) e) (.f64 v v) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (+ (* (* -1/6 v) v) 1) v) v)
#s(approx (* (+ (* (* -1/6 v) v) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (+ (* (* -1/6 v) v) 1) #s(literal 1 binary64))
#s(approx (+ (* (* -1/6 v) v) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* v v) (*.f64 v v))
#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 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (+ (* (* (- (* (* 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 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #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) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)))
#s(approx (* (* 1/120 v) v) (.f64 #s(literal 1/120 binary64) (.f64 v v)))
#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 (/ e (+ 1 (* e (cos v)))) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (+ (* (* -1/6 v) v) 1) v) (.f64 (.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* -1/6 v) v) 1) v) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 (.f64 v v) v)))
#s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64)))
#s(approx (+ (* (* -1/6 v) v) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v)))
#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 (.f64 #s(literal 1/6 binary64) #s(literal 1 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 (+.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1/120 binary64)))
#s(approx (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))))
#s(approx (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) (.f64 (-.f64 (+.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))))
#s(approx (- (* (* 1/120 v) v) 1/6) (.f64 #s(literal 1/120 binary64) (.f64 v v)))
#s(approx (- (* (* 1/120 v) v) 1/6) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (.f64 v v))) (.f64 v v)))
#s(approx (* e (+ v (neg (* e v)))) (.f64 (neg.f64 e) (.f64 (-.f64 e #s(literal 1 binary64)) v)))
#s(approx (+ v (neg (* e v))) (*.f64 (neg.f64 v) (-.f64 e #s(literal 1 binary64))))
#s(approx (* (+ (* (* -1/6 v) v) 1) v) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 v v) v))))
#s(approx (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 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 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v)) #s(literal 1/120 binary64)) (pow.f64 v (neg.f64 #s(literal 4 binary64)))) (pow.f64 v #s(literal 5 binary64)))))

eval22.0ms (0.3%)

Memory: 30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 443 to 1 160 computations (52.5% saved)

prune35.0ms (0.5%)

Memory

-22.9MiB live, 28.5MiB allocated; 8ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	191	9	200
Fresh	4	5	9
Picked	1	4	5
Done	0	3	3
Total	196	21	217

Accuracy

99.8%

Counts

217 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	99.3%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
✓	99.8%	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
	98.5%	(.f64 (sin.f64 v) #s(approx (/ e (+ 1 ( e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #s(approx (+ 1 e) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))
	20.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) #s(literal 3 binary64)) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 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))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) v))
✓	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
▶	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
✓	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
	26.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
▶	26.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #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)))) e))
▶	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
✓	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
▶	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
	27.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
	44.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (.f64 (+.f64 (/.f64 v e) (neg.f64 v)) (.f64 e e)))))
	27.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
✓	4.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))

Compiler

Compiled 815 to 701 computations (14% saved)

series45.0ms (0.6%)

Memory

-2.6MiB live, 44.6MiB allocated; 2ms collecting garbage

Counts

36 → 168

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
(.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e)
#s(approx (sin v) #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) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e))
(.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)
#s(approx (+ v (neg (* e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e))
(*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)
(+.f64 (/.f64 v e) (neg.f64 v))
(/.f64 v e)
(neg.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #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)))) e))
(.f64 #s(approx (sin v) #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)))) e)
#s(approx (sin v) #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 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
(*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64))
(pow.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/120 binary64)

Outputs
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ 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 #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 (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 1))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ 1 e) #s(hole binary64 (/ 1 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (* v (+ 1 (* -7/6 (pow v 2))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* e (+ (* e (+ (* e (+ (* e (* v (- (* 5/3 (pow v 2)) 1))) (* v (+ 1 (* -7/6 (pow v 2)))))) (* v (- (* 2/3 (pow v 2)) 1)))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (* -7/6 (pow v 2))))) 1)))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (+ (* 2/3 (pow v 2)) (* e (+ 1 (+ (* -7/6 (pow v 2)) (* e (- (* 5/3 (pow v 2)) 1)))))) 1)))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 e))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (+ 1 e) #s(hole binary64 1))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#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 (neg (* e v))) e) #s(hole binary64 (* e v)))
#s(approx (* (+ v (neg (* e v))) e) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 v))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 v))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (/ v e)))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (/ (+ v (* -1 (* e v))) e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ 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 (/ (* (sin v) e) (+ 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 (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (* e (cos v))))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* v (+ 1 (* 1/3 (pow v 2))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e)))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (+ 1 (* 4/3 (pow v 2)))) (pow e 2)) (+ (/ (* v (- (* -11/6 (pow v 2)) 1)) (pow e 3)) (/ (* v (- (* -5/6 (pow v 2)) 1)) e))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (+ 1 (* 1/3 (pow v 2)))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (* 1/3 (pow v 2)))) (/ 1 e))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2)))))) (/ 1 e))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (- (+ 1 (+ (* -11/6 (/ (pow v 2) (pow e 3))) (+ (* -5/6 (/ (pow v 2) e)) (+ (* 1/3 (pow v 2)) (+ (* 4/3 (/ (pow v 2) (pow e 2))) (/ 1 (pow e 2))))))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 1))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (+ 1 e) #s(hole binary64 e))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#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 (neg (* e v))) e) #s(hole binary64 (* -1 (* (pow e 2) v))))
#s(approx (* (+ v (neg (* e v))) e) #s(hole binary64 (* (pow e 2) (+ (* -1 v) (/ v e)))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (* e (- (/ v e) v))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* -1 (* e v))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* e (+ (* -1 v) (/ v e)))))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (* -1 v)))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (- (/ v e) v)))
#s(approx (/ (* (sin v) e) (+ 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 (/ (* (sin v) e) (+ 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 (* (+ (/ 1 e) (cos v)) e) #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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* -1 (/ (* v (+ 1 (* 5/6 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 4/3 (pow v 2)))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (+ 1 (* 11/6 (pow v 2)))) e)) (* v (+ 1 (* 4/3 (pow v 2))))) e)) (* v (+ 1 (* 5/6 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 1 (* 5/6 (pow v 2))) e)) (* 1/3 (pow v 2))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 4/3 (pow v 2))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* 11/6 (pow v 2))) e)) (* 4/3 (pow v 2)))) e)) (* 5/6 (pow v 2)))) e)) (* 1/3 (pow v 2))))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#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 (neg (* e v))) #s(hole binary64 (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* -1 (* e (+ v (* -1 (/ v e)))))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* (sin v) e) (+ 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 (/ (* (sin v) e) (+ 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 (/ (* (sin v) e) (+ 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 (* (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 (+ 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 (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 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 (* (+ (* (* (- (* (* 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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) 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 (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (/ e (+ 1 e))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 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 (neg (* e v))) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (* v (- 1 e))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* e (* v (- (/ 1 e) 1)))))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (* v (- (/ 1 e) 1))))
#s(approx (neg v) #s(hole binary64 (* -1 v)))
#s(approx (* (pow v 5) 1/120) #s(hole binary64 (* 1/120 (pow v 5))))
#s(approx (pow v 5) #s(hole binary64 (pow v 5)))
#s(approx (/ (* (sin v) e) (+ 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)))
#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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#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))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))))
#s(approx (* (+ v (neg (* e v))) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* -1 (* e (* v (- 1 (/ 1 e)))))))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (* -1 (* v (- 1 (/ 1 e))))))

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	v	@	inf	((/ (* (sin v) e) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) v e (+ 1 (* e (cos v))) (* (+ (/ 1 e) (cos v)) e) (+ (/ 1 e) (cos v)) (/ 1 e) 1 (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ v (neg (* e v))) e) (+ v (neg (* e v))) (* (+ (/ v e) (neg v)) e) (+ (/ v e) (neg v)) (/ v e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (* (pow v 5) 1/120) (pow v 5) 5 1/120)
6.0ms	v	@	-inf	((/ (* (sin v) e) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) v e (+ 1 (* e (cos v))) (* (+ (/ 1 e) (cos v)) e) (+ (/ 1 e) (cos v)) (/ 1 e) 1 (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ v (neg (* e v))) e) (+ v (neg (* e v))) (* (+ (/ v e) (neg v)) e) (+ (/ v e) (neg v)) (/ v e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (* (pow v 5) 1/120) (pow v 5) 5 1/120)
4.0ms	v	@	0	((/ (* (sin v) e) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) v e (+ 1 (* e (cos v))) (* (+ (/ 1 e) (cos v)) e) (+ (/ 1 e) (cos v)) (/ 1 e) 1 (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ v (neg (* e v))) e) (+ v (neg (* e v))) (* (+ (/ v e) (neg v)) e) (+ (/ v e) (neg v)) (/ v e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (* (pow v 5) 1/120) (pow v 5) 5 1/120)
4.0ms	e	@	-inf	((/ (* (sin v) e) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) v e (+ 1 (* e (cos v))) (* (+ (/ 1 e) (cos v)) e) (+ (/ 1 e) (cos v)) (/ 1 e) 1 (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ v (neg (* e v))) e) (+ v (neg (* e v))) (* (+ (/ v e) (neg v)) e) (+ (/ v e) (neg v)) (/ v e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (* (pow v 5) 1/120) (pow v 5) 5 1/120)
3.0ms	e	@	0	((/ (* (sin v) e) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) v e (+ 1 (* e (cos v))) (* (+ (/ 1 e) (cos v)) e) (+ (/ 1 e) (cos v)) (/ 1 e) 1 (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* (+ v (neg (* e v))) e) (+ v (neg (* e v))) (* (+ (/ v e) (neg v)) e) (+ (/ v e) (neg v)) (/ v e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) (* (pow v 5) 1/120) (pow v 5) 5 1/120)

rewrite1.4s (19.7%)

Memory

-20.2MiB live, 411.3MiB allocated; 173ms collecting garbage

Counts

204 → 248

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
(.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e)
#s(approx (sin v) #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) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e))
(.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)
#s(approx (+ v (neg (* e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e))
(*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)
(+.f64 (/.f64 v e) (neg.f64 v))
(/.f64 v e)
(neg.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #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)))) e))
(.f64 #s(approx (sin v) #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)))) e)
#s(approx (sin v) #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 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
(*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64))
(pow.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/120 binary64)
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ 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 #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 (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 1))
#s(approx (* (+ (/ 1 e) (cos v)) e) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ 1 e) #s(hole binary64 (/ 1 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
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#s(approx (/ e (+ 1 e)) #s(hole binary64 e))
#s(approx (/ e (+ 1 e)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
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#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
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#s(approx (cos v) #s(hole binary64 1))
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#s(approx (neg v) #s(hole binary64 (* -1 v)))
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#s(approx (pow v 5) #s(hole binary64 (pow v 5)))
#s(approx (/ (* (sin v) e) (+ 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)))
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#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 (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2)))))))
#s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) #s(hole binary64 (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (+ (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))) (/ e (* (pow v 2) (+ 1 e))))))))
#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))))))))
#s(approx (* (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (+ (* -1/6 (/ e (+ 1 e))) (* 1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (* -1 (/ e (* (pow v 2) (+ 1 e)))))))))
#s(approx (* (+ v (neg (* e v))) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (+ v (neg (* e v))) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (/ v e) (neg v)) e) #s(hole binary64 (* -1 (* e (* v (- 1 (/ 1 e)))))))
#s(approx (+ (/ v e) (neg v)) #s(hole binary64 (* -1 (* v (- 1 (/ 1 e))))))

Outputs
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
#s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(+.f64 (.f64 (cos.f64 v) e) (.f64 (/.f64 #s(literal 1 binary64) e) e))
(+.f64 (.f64 (cos.f64 v) e) (.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (cos.f64 v) e (*.f64 (/.f64 #s(literal 1 binary64) e) e))
(fma.f64 (cos.f64 v) e (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 e (cos.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) e) e))
(fma.f64 e (cos.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e))) (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e)) (.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))))
(/.f64 #s(literal 1 binary64) e)
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 e))
(pow.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(cos.f64 v)
(cos.f64 (neg.f64 v))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) v)) e))
(.f64 #s(approx (sin v) #s(approx ( v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) v)) e)
#s(approx (sin v) #s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) v))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(.f64 #s(approx (+ ( (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 e) (neg.f64 (+.f64 #s(literal 1 binary64) e)))
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (.f64 (.f64 e e) e)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (.f64 e e) (.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e))
(.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)
#s(approx (+ v (neg (* e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e))
(*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)
(*.f64 e (+.f64 (/.f64 v e) (neg.f64 v)))
(+.f64 (.f64 (neg.f64 v) e) (.f64 (/.f64 v e) e))
(+.f64 (neg.f64 (.f64 v e)) (.f64 e (/.f64 v e)))
(fma.f64 (neg.f64 e) v (*.f64 e (/.f64 v e)))
(fma.f64 #s(literal -1 binary64) (.f64 v e) (.f64 e (/.f64 v e)))
(fma.f64 (.f64 v e) #s(literal -1 binary64) (.f64 e (/.f64 v e)))
(fma.f64 e (neg.f64 v) (*.f64 e (/.f64 v e)))
(fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))
(+.f64 (/.f64 v e) (neg.f64 v))
(+.f64 (neg.f64 v) (/.f64 v e))
(/.f64 (-.f64 (.f64 (neg.f64 v) (neg.f64 v)) (.f64 (/.f64 v e) (/.f64 v e))) (-.f64 (neg.f64 v) (/.f64 v e)))
(/.f64 (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (.f64 (neg.f64 v) (neg.f64 v))) (-.f64 (/.f64 v e) (neg.f64 v)))
(/.f64 (+.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (pow.f64 (/.f64 v e) #s(literal 3 binary64))) (fma.f64 (neg.f64 v) (neg.f64 v) (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (.f64 (neg.f64 v) (/.f64 v e)))))
(/.f64 (+.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) (pow.f64 (neg.f64 v) #s(literal 3 binary64))) (fma.f64 (/.f64 v e) (/.f64 v e) (-.f64 (.f64 (neg.f64 v) (neg.f64 v)) (.f64 (/.f64 v e) (neg.f64 v)))))
(fma.f64 #s(literal -1 binary64) v (/.f64 v e))
(fma.f64 v #s(literal -1 binary64) (/.f64 v e))
(/.f64 v e)
(/.f64 (neg.f64 v) (neg.f64 e))
(*.f64 #s(literal -1 binary64) v)
(*.f64 v #s(literal -1 binary64))
(neg.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))) e))
(.f64 #s(approx (sin v) #s(approx ( v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))) e)
#s(approx (sin v) #s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64))))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
(*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (pow.f64 v #s(literal 5 binary64)))
(*.f64 (pow.f64 v (/.f64 #s(literal 5 binary64) #s(literal 2 binary64))) (pow.f64 v (/.f64 #s(literal 5 binary64) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 v) #s(literal 5 binary64)))
(pow.f64 v #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/120 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) e) (.f64 (sin.f64 v) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (sin.f64 v))) (neg.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))) e) (.f64 (sin.f64 v) (cos.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 (* (+ (/ 1 e) (cos v)) e) #s(literal 1 binary64))
#s(approx (* (+ (/ 1 e) (cos v)) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
#s(approx (/ 1 e) (/.f64 #s(literal 1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) e) (.f64 (sin.f64 v) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (sin.f64 v))) (neg.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))) e) (.f64 (sin.f64 v) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (.f64 v e) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (fma.f64 (.f64 v e) (-.f64 (.f64 (.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (.f64 (.f64 v e) (fma.f64 (.f64 v v) #s(literal -7/6 binary64) #s(literal 1 binary64)))) e (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 v e) (-.f64 (.f64 (.f64 v v) #s(literal 5/3 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 v v) #s(literal -7/6 binary64) #s(literal 1 binary64)) v)) e (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) e (.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e (.f64 (*.f64 v v) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -7/6 binary64) #s(literal 1 binary64)) e (.f64 (.f64 v v) #s(literal 2/3 binary64))) #s(literal 1 binary64)) e (.f64 (.f64 v v) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 5/3 binary64)) #s(literal 1 binary64)) e (.f64 (.f64 v v) #s(literal -7/6 binary64))) #s(literal 1 binary64)) e (.f64 (.f64 v v) #s(literal 2/3 binary64))) #s(literal 1 binary64)) e (.f64 (*.f64 v v) #s(literal -1/6 binary64))) #s(literal 1 binary64)) e))
#s(approx (/ e (+ 1 e)) e)
#s(approx (/ e (+ 1 e)) (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
#s(approx (/ e (+ 1 e)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (+ 1 e) #s(literal 1 binary64))
#s(approx (+ 1 e) (+.f64 #s(literal 1 binary64) e))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v e))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 e (neg.f64 v) v) e))
#s(approx (/ (* e v) (+ 1 e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e))
#s(approx (/ (* e v) (+ 1 e)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (*.f64 v e)) (neg.f64 v)) e) v) e v) e))
#s(approx (* (+ v (neg (* e v))) e) (*.f64 v e))
#s(approx (* (+ v (neg (* e v))) e) (*.f64 (fma.f64 e (neg.f64 v) v) e))
#s(approx (+ v (neg (* e v))) v)
#s(approx (+ v (neg (* e v))) (fma.f64 e (neg.f64 v) v))
#s(approx (* e (+ (neg v) (/ v e))) v)
#s(approx (* e (+ (neg v) (/ v e))) (fma.f64 e (neg.f64 v) v))
#s(approx (+ (neg v) (/ v e)) (/.f64 v e))
#s(approx (+ (neg v) (/ v e)) (/.f64 (fma.f64 e (neg.f64 v) v) e))
#s(approx (/ v e) (/.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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 (.f64 e e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e))
#s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (* (+ (/ 1 e) (cos v)) e) (*.f64 (cos.f64 v) e))
#s(approx (* (+ (/ 1 e) (cos v)) e) (*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
#s(approx (+ (/ 1 e) (cos v)) (cos.f64 v))
#s(approx (+ (/ 1 e) (cos v)) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) 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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (tan.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 (.f64 e e) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))))) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5/6 binary64)) #s(literal 1 binary64)) e) (.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 v (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5/6 binary64)) #s(literal 1 binary64)) e) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 4/3 binary64) #s(literal 1 binary64)) v) (.f64 e e)))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 v (/.f64 (fma.f64 (.f64 v v) #s(literal 4/3 binary64) #s(literal 1 binary64)) (.f64 e e)) (fma.f64 v (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -11/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 e e) e)) (.f64 v (/.f64 (-.f64 (.f64 (.f64 v v) #s(literal -5/6 binary64)) #s(literal 1 binary64)) e))))))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (-.f64 (+.f64 (fma.f64 (/.f64 (.f64 v v) e) #s(literal -5/6 binary64) (.f64 (*.f64 v v) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (-.f64 (+.f64 (fma.f64 #s(literal -5/6 binary64) (/.f64 (.f64 v v) e) (fma.f64 #s(literal 1/3 binary64) (.f64 v v) (fma.f64 (/.f64 (.f64 v v) (.f64 e e)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -11/6 binary64) (/.f64 (.f64 v v) (.f64 (.f64 e e) e)) (fma.f64 #s(literal -5/6 binary64) (/.f64 (.f64 v v) e) (fma.f64 #s(literal 1/3 binary64) (.f64 v v) (fma.f64 (/.f64 (.f64 v v) (.f64 e e)) #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 e e)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) e))))
#s(approx (/ e (+ 1 e)) #s(literal 1 binary64))
#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (+ 1 e)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (+ 1 e)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 e e) e))))
#s(approx (+ 1 e) e)
#s(approx (+ 1 e) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (/ (* e v) (+ 1 e)) v)
#s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.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 (neg.f64 (/.f64 v (.f64 (.f64 e e) e))) v) (neg.f64 (/.f64 v (*.f64 e e)))) (/.f64 v e)))
#s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))
#s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))
#s(approx (+ v (neg (* e v))) (neg.f64 (*.f64 v e)))
#s(approx (+ v (neg (* e v))) (*.f64 e (-.f64 (/.f64 v e) v)))
#s(approx (* e (+ (neg v) (/ v e))) (neg.f64 (*.f64 v e)))
#s(approx (* e (+ (neg v) (/ v e))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e))
#s(approx (+ (neg v) (/ v e)) (neg.f64 v))
#s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (* (+ (/ 1 e) (cos v)) e) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) (tan.f64 v)))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal 5/6 binary64) #s(literal 1 binary64)) v) e))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 v (fma.f64 (.f64 v v) #s(literal 5/6 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 4/3 binary64) #s(literal 1 binary64)) v) e))) e))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (fma.f64 v (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 v (fma.f64 (.f64 v v) #s(literal 5/6 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (fma.f64 v (fma.f64 (.f64 v v) #s(literal 4/3 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal 11/6 binary64) #s(literal 1 binary64)) v) e))) e))) e))))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) (neg.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 5/6 binary64) #s(literal 1 binary64)) e))) #s(literal 1 binary64)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 5/6 binary64) (.f64 v v) (neg.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 4/3 binary64) #s(literal 1 binary64)) e))) #s(literal 1 binary64)) e))) #s(literal 1 binary64)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 5/6 binary64) (.f64 v v) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 v v) (neg.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal 11/6 binary64) #s(literal 1 binary64)) e))) #s(literal 1 binary64)) e))) #s(literal 1 binary64)) e))) #s(literal 1 binary64)))
#s(approx (/ e (+ 1 e)) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) #s(literal 1 binary64)))
#s(approx (/ e (+ 1 e)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) #s(literal 1 binary64)) e)) #s(literal 1 binary64)))
#s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 v e)) v) e)) v))
#s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 v e)) v) e)) v) e)) v))
#s(approx (+ v (neg (* e v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (/.f64 v e)) (neg.f64 v))))
#s(approx (* e (+ (neg v) (/ v e))) (*.f64 (neg.f64 e) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.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)) (*.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 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.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 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #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 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (* (+ (/ 1 e) (cos v)) e) (*.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (* (+ (/ 1 e) (cos v)) e) (fma.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 v v) e) #s(literal -1/2 binary64))))
#s(approx (* (+ (/ 1 e) (cos v)) e) (fma.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v))))
#s(approx (* (+ (/ 1 e) (cos v)) e) (fma.f64 e (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v))))
#s(approx (+ (/ 1 e) (cos v)) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (/ 1 e) (cos v)) (+.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (/ 1 e) (cos v)) (+.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (/ 1 e) (cos v)) (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 v v)) #s(literal 1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #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 e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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))) #s(literal -1/2 binary64) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.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 #s(literal 1/120 binary64) e) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 #s(literal -1/2 binary64) (.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 -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.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 (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) v)
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 v (fma.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (fma.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))
#s(approx (+ v (neg (* e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (+ (neg v) (/ v e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v))
#s(approx (neg v) (neg.f64 v))
#s(approx (* 1/120 (pow v 5)) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (pow v 5) (pow.f64 v #s(literal 5 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))
#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 (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal 1/120 binary64)))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (.f64 (-.f64 (+.f64 (pow.f64 v (neg.f64 #s(literal 4 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v))) (pow.f64 v #s(literal 5 binary64))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 (.f64 v v) v)))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e))))) (.f64 (*.f64 v v) v)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v)))
#s(approx (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (neg.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v)) #s(literal 1/120 binary64)) (pow.f64 v #s(literal 5 binary64)))))
#s(approx (* v (+ 1 (* (* v v) (- (* (* v v) 1/120) 1/6)))) (neg.f64 (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 v v)) #s(literal 1/120 binary64)) (pow.f64 v (neg.f64 #s(literal 4 binary64)))) (pow.f64 v #s(literal 5 binary64)))))
#s(approx (* v (+ (* (* v v) (+ (/ (* -1/6 e) (+ 1 e)) (/ (* e (* e 1/2)) (pow (+ 1 e) 2)))) (/ e (+ 1 e)))) (neg.f64 (.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (neg.f64 e) (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) e)))) (.f64 (.f64 v v) v))))
#s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (+.f64 (neg.f64 e) #s(literal 1 binary64))))
#s(approx (+ v (neg (* e v))) (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
#s(approx (* e (+ (neg v) (/ v e))) (.f64 (neg.f64 e) (.f64 v (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (neg v) (/ v e)) (*.f64 (neg.f64 v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))

eval25.0ms (0.4%)

Memory: 20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 072 to 1 273 computations (58.6% saved)

prune24.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	200	14	214
Fresh	5	4	9
Picked	2	3	5
Done	1	6	7
Total	208	27	235

Accuracy

99.8%

Counts

235 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.3%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (fma.f64 (cos.f64 v) e (*.f64 (/.f64 #s(literal 1 binary64) e) e))))
	35.9%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))) e)))
	96.4%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) e)))
✓	99.8%	(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
	98.5%	(.f64 (sin.f64 v) #s(approx (/ e (+ 1 ( e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
✓	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
✓	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
	26.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
✓	26.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #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)))) e))
✓	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
✓	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))) e)))
	40.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (*.f64 (neg.f64 v) (neg.f64 v))) (-.f64 (/.f64 v e) (neg.f64 v))) e)) e)))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (/.f64 v e)) e)) e)))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v)) e)) e)))
	51.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 #s(approx (+ (neg v) (/ v e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)) e)))
	27.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) #s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) e)))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
	44.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))))
	27.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
✓	4.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))

Compiler

Compiled 1 110 to 845 computations (23.9% saved)

regimes89.0ms (1.2%)

Memory

-20.0MiB live, 26.1MiB allocated; 3ms collecting garbage

Counts

45 → 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 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (/.f64 v e)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (.f64 (+.f64 (/.f64 v e) (neg.f64 v)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) #s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 #s(approx (+ (neg v) (/ v e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #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)))) (.f64 #s(approx (sin v) #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)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (*.f64 (neg.f64 v) (neg.f64 v))) (-.f64 (/.f64 v e) (neg.f64 v))) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
(*.f64 (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 (sin.f64 v) #s(approx (/ e (+ 1 ( e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (fma.f64 (cos.f64 v) e (*.f64 (/.f64 #s(literal 1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (+.f64 (neg.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) #s(literal 3 binary64)) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 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))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 v v)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))) v))

Outputs
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))

Calls

3 calls:

58.0ms	v
15.0ms	e
12.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
99.8%	1	`e`
99.8%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes32.0ms (0.4%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (/.f64 v e)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (.f64 (+.f64 (/.f64 v e) (neg.f64 v)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) #s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 #s(approx (+ (neg v) (/ v e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #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)))) (.f64 #s(approx (sin v) #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)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (*.f64 (neg.f64 v) (neg.f64 v))) (-.f64 (/.f64 v e) (neg.f64 v))) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (*.f64 #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (.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))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

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

Accuracy	Segments	Branch
96.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
96.9%	1	`e`
98.8%	2	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes32.0ms (0.4%)

Memory

-27.7MiB live, 21.5MiB allocated; 7ms collecting garbage

Counts

31 → 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 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (/.f64 v e)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (.f64 (+.f64 (/.f64 v e) (neg.f64 v)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) #s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 #s(approx (+ (neg v) (/ v e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #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)))) (.f64 #s(approx (sin v) #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)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v)) #s(literal 1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 v e) (/.f64 v e)) (*.f64 (neg.f64 v) (neg.f64 v))) (-.f64 (/.f64 v e) (neg.f64 v))) e)) e)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) #s(approx (+ 1 e) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))))

Calls

3 calls:

12.0ms	e
9.0ms	v
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.8%	1	`e`
52.8%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes22.0ms (0.3%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (/.f64 v e)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 #s(approx (+ (* (* -1/6 v) v) 1) (.f64 (.f64 v v) #s(literal -1/6 binary64))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (-.f64 (/.f64 v e) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (.f64 (+.f64 (/.f64 v e) (neg.f64 v)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 e e) (+.f64 (/.f64 v e) (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (+.f64 (/.f64 v e) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) #s(approx (* e (+ (neg v) (/ v e))) (.f64 (.f64 v e) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (.f64 #s(approx (+ (neg v) (/ v e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (fma.f64 (neg.f64 v) e (*.f64 (/.f64 v e) e))) e)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))

Calls

3 calls:

7.0ms	v
7.0ms	e
7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.8%	1	`e`
52.8%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes12.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

12 → 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 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))

Outputs

#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* (+ (/ (* -1/6 e) (+ 1 e)) (/ (* (* e e) 1/2) (pow (+ 1 e) 2))) v) v) (/ e (+ 1 e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))

Calls

3 calls:

4.0ms	v
4.0ms	e
4.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
52.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.8%	1	`e`
52.8%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes13.0ms (0.2%)

Memory

-36.6MiB live, 10.6MiB allocated; 1ms collecting garbage

Counts

11 → 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 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) e)))))

Calls

3 calls:

5.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
4.0ms	e
4.0ms	v

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.1%	1	`e`
52.1%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes9.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) #s(approx ( (+ (* (* (- (* (* 1/120 v) v) 1/6) v) v) 1) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ v (neg (* e v)))) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* (+ v (neg (* e v))) e) (neg.f64 (.f64 (.f64 e e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (neg.f64 (*.f64 v e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ v (neg ( e v))) (*.f64 #s(approx (+ (neg v) (/ v e)) (neg.f64 v)) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (neg.f64 (/.f64 v e)) v)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))

Calls

3 calls:

3.0ms	v
3.0ms	e
3.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
50.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
50.9%	1	`e`
50.9%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB 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

Accuracy	Segments	Branch
4.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
4.6%	1	`e`
4.6%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch4.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	3.783759048098764e-24	1.4441346298430233e-21

Samples

2.0ms

32×

valid

Compiler

Compiled 66 to 70 computations (-6.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sin: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

derivations2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 88 to 65 computations (26.1% saved)

preprocess133.0ms (1.8%)

Memory: 11.6MiB live, 104.5MiB allocated; 10ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 393 to 350 computations (10.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze39.0ms (0.5%)

sample1.5s (20.3%)

preprocess87.0ms (1.2%)

series14.0ms (0.2%)

rewrite807.0ms (11.2%)

eval7.0ms (0.1%)

prune14.0ms (0.2%)

series51.0ms (0.7%)

rewrite1.5s (20.5%)

eval63.0ms (0.9%)

prune52.0ms (0.7%)

series29.0ms (0.4%)

rewrite1.2s (16.5%)

eval22.0ms (0.3%)

prune35.0ms (0.5%)

series45.0ms (0.6%)

rewrite1.4s (19.7%)

eval25.0ms (0.4%)

prune24.0ms (0.3%)

regimes89.0ms (1.2%)

regimes32.0ms (0.4%)

regimes32.0ms (0.4%)

regimes22.0ms (0.3%)

regimes12.0ms (0.2%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch4.0ms (0.1%)

derivations2.0ms (0%)

preprocess133.0ms (1.8%)

end0.0ms (0%)

Profiling