Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze6.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB 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)

sample1.3s (35.1%)

Memory

52.8MiB live, 1 127.5MiB allocated; 236ms collecting garbage

Samples

994.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 742.0ms

ival-sin: 337.0ms (45.4% of total)

ival-cos: 179.0ms (24.1% of total)

ival-mult!: 167.0ms (22.5% of total)

ival-div!: 34.0ms (4.6% of total)

ival-add!: 24.0ms (3.2% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess62.0ms (1.7%)

Memory

-48.8MiB live, 61.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	70
1	114	66
2	375	66
3	1184	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 (0.4%)

Memory

29.7MiB live, 29.7MiB allocated; 0ms collecting garbage

Counts

9 → 41

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

rewrite284.0ms (8%)

Memory

-1.7MiB live, 277.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1190
0	252	1157
1	1704	1119
0	8150	1044
1	28450	1044

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

50 → 76

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 #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) (/ 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 (+ 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 (* -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 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))

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

eval8.0ms (0.2%)

Memory: 17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 800 to 352 computations (56% saved)

prune12.0ms (0.3%)

Memory

-36.6MiB live, 10.5MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Accuracy

99.8%

Counts

69 → 8

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)) (.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
▶	98.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.8%	(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	99.8%	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	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))
▶	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))

Compiler

Compiled 182 to 180 computations (1.1% saved)

series29.0ms (0.8%)

Memory

2.5MiB live, 57.9MiB allocated; 3ms collecting garbage

Counts

24 → 113

Calls

Call 1

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

Outputs
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx e #s(hole binary64 e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e (* (cos v) (sin v)))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (* e (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* e (- (/ (sin v) e) (* (cos v) (sin v))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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 (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (sin v) e)) (* -1 (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* 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 (+ 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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (+ (* (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 (* -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 (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* 2/3 (* e (pow v 2))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* -2/15 (* e (pow v 2))) (* -2/3 e))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 4/315 (* e (pow v 2))) (* 2/15 e))) (* -2/3 e))) e))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* -2/3 (* e (pow v 2)))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* 2/15 (* e (pow v 2)))))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* (pow v 2) (+ (* -4/315 (* e (pow v 2))) (* 2/15 e)))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (- (sin v) (* e (* (cos v) (sin v)))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (- (sin v) (* e (* (cos v) (sin v))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	v	@	inf	((* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) (* (sin v) e) (sin v) v e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
5.0ms	v	@	0	((* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) (* (sin v) e) (sin v) v e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
4.0ms	v	@	-inf	((* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) (* (sin v) e) (sin v) v e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
4.0ms	e	@	-inf	((* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) (* (sin v) e) (sin v) v e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))
3.0ms	e	@	inf	((* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) (* (sin v) e) (sin v) v e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* e (/ (sin v) (+ (* (cos v) e) 1))) (/ (sin v) (+ (* (cos v) e) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg (* (* (cos v) e) (sin v))) (* (* (cos v) e) (sin v)) (* (cos v) e))

rewrite242.0ms (6.8%)

Memory

-6.0MiB live, 229.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	3616
0	674	3404
1	4518	3396
0	8380	3280
1	26488	3280

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

137 → 219

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(*.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 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (+.f64 (neg.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e))
(.f64 (+.f64 (neg.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v)) e)
(+.f64 (neg.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v))) (sin.f64 v))
(neg.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v)))
(.f64 (.f64 (cos.f64 v) e) (sin.f64 v))
(*.f64 (cos.f64 v) e)
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx e #s(hole binary64 e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* e (* (cos v) (sin v)))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (* e (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (* e (cos v)))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* e (- (/ (sin v) e) (* (cos v) (sin v))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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 (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (sin v) e)) (* -1 (* (cos v) (sin v))))))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (sin v) e) (/ 1 (+ (* (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) (/ 1 (+ (* (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) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* 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 (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (+ (* (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 (* -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 (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* 2/15 e))) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* 2/3 (* e (pow v 2))) e))))
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#s(approx (neg (* (* (cos v) e) (sin v))) #s(hole binary64 (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 4/315 (* e (pow v 2))) (* 2/15 e))) (* -2/3 e))) e))))
#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* -2/3 (* e (pow v 2)))))))
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#s(approx (* (* (cos v) e) (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -2/3 e) (* (pow v 2) (+ (* -4/315 (* e (pow v 2))) (* 2/15 e)))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
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#s(approx (* (* (sin v) e) (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
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#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) #s(hole binary64 (- (sin v) (* e (* (cos v) (sin v))))))

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (sin.f64 v) e))
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v
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
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#s(literal 1 binary64)
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (-.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx e e)
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (+.f64 (neg.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 e (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (cos.f64 v)) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))) e) (cos.f64 v)) e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (/ v (+ 1 e))) (*.f64 e v))
#s(approx (* e (/ v (+ 1 e))) (.f64 (+.f64 (neg.f64 (.f64 e v)) v) e))
#s(approx (* e (/ v (+ 1 e))) (.f64 (fma.f64 (-.f64 (.f64 e v) v) e v) e))
#s(approx (* e (/ v (+ 1 e))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (*.f64 e v)) (neg.f64 v)) e) v) e v) e))
#s(approx (/ v (+ 1 e)) v)
#s(approx (/ v (+ 1 e)) (+.f64 (neg.f64 (*.f64 e v)) v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 e v) v) e v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 e v)) (neg.f64 v)) e) v) e v))
#s(approx (+ 1 e) (+.f64 #s(literal 1 binary64) e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (-.f64 (sin.f64 v) (.f64 (.f64 (cos.f64 v) e) (sin.f64 v))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (sin.f64 v))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (*.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)))
#s(approx (neg (* (* (cos v) e) (sin v))) (neg.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v))))
#s(approx (* (* (cos v) e) (sin v)) (.f64 (.f64 (cos.f64 v) e) (sin.f64 v)))
#s(approx (* (cos v) e) (*.f64 (cos.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))) e))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v))
#s(approx (* e (/ v (+ 1 e))) (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (+.f64 (/.f64 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))))
#s(approx (/ v (+ 1 e)) (/.f64 v e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e))
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (+.f64 (/.f64 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))) e))
#s(approx (+ 1 e) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)) e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (neg.f64 (.f64 (.f64 (cos.f64 v) (sin.f64 v)) (*.f64 e e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (pow.f64 (cos.f64 v) #s(literal -3 binary64))) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#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 (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v) e)) v))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)) (neg.f64 v)) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (tan.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal -3 binary64)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))) e)) (neg.f64 (tan.f64 v))) e)))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (neg.f64 (.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (-.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/2 binary64) (.f64 e (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/24 binary64) (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (.f64 v v))) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/48 binary64)))) (.f64 v v))) (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (.f64 v v) (.f64 #s(literal 1/2 binary64) (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 v (neg.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v))) (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (fma.f64 v (.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (.f64 v v)) (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v)) (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (+.f64 (neg.f64 (.f64 (fma.f64 (.f64 e (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64) (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v))) (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (.f64 v v)) (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) (.f64 v v)) e (neg.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) e (neg.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64))))) (neg.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (+.f64 (neg.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v))) #s(literal 1 binary64)) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) (.f64 v v)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) #s(literal 1 binary64)) e) v))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1/120 binary64) (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64)) (.f64 v v))) (.f64 #s(literal 2/15 binary64) e)))) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) #s(literal 1 binary64)) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (neg.f64 (*.f64 e v)))
#s(approx (neg (* (* (cos v) e) (sin v))) (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 (.f64 v v) e)) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (.f64 (-.f64 (.f64 (.f64 v v) (fma.f64 (.f64 #s(literal -2/15 binary64) e) (.f64 v v) (.f64 #s(literal 2/3 binary64) e))) e) v))
#s(approx (neg (* (* (cos v) e) (sin v))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 #s(literal 4/315 binary64) e) (.f64 v v) (.f64 #s(literal -2/15 binary64) e)) (.f64 #s(literal 2/3 binary64) e)) (.f64 v v)) e) v))
#s(approx (* (* (cos v) e) (sin v)) (.f64 (fma.f64 (.f64 #s(literal -2/3 binary64) e) (*.f64 v v) e) v))
#s(approx (* (* (cos v) e) (sin v)) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -2/3 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (* (cos v) e) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal -4/315 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 2/15 binary64) e)) (.f64 #s(literal -2/3 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (cos v) e) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (+ (neg (* (* (cos v) e) (sin v))) (sin v)) (-.f64 (sin.f64 v) (.f64 (.f64 (cos.f64 v) e) (sin.f64 v))))

eval28.0ms (0.8%)

Memory: 25.6MiB live, 71.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 059 to 1 155 computations (62.2% saved)

prune15.0ms (0.4%)

Memory

-8.6MiB live, 38.3MiB allocated; 3ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	234	12	246
Fresh	0	3	3
Picked	3	2	5
Done	0	0	0
Total	237	17	254

Accuracy

99.9%

Counts

254 → 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 e (sin.f64 v)) (.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
	51.9%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	51.9%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.5%	(.f64 (.f64 (sin.f64 v) e) #s(approx (/ 1 (+ (* (cos v) e) 1)) (+.f64 (neg.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))))
▶	99.8%	(.f64 (sin.f64 v) (.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
✓	99.8%	(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
	2.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
▶	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
▶	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
	70.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))

Compiler

Compiled 542 to 512 computations (5.5% saved)

series64.0ms (1.8%)

Memory

-13.7MiB live, 84.6MiB allocated; 12ms collecting garbage

Counts

30 → 131

Calls

Call 1

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

Outputs
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 e))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ 1 (* -1 (* e (cos v)))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))))
#s(approx (* e (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (* v (- 1 (* 1/6 (pow v 2)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (- 1 (* 1/6 (pow v 2))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 (* 1/6 (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- (+ 1 (* -1 (* e (+ 1 (* -2/3 (pow v 2)))))) (* 1/6 (pow v 2))))))
#s(approx (- 1 e) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* -1/6 (* e (pow v 2)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* e (- (* 2/3 (* e (pow v 2))) (* 1/6 (pow v 2))))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* 1/6 (* e (pow v 2)))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* e (+ (* -2/3 (* e (pow v 2))) (* 1/6 (pow v 2))))))
#s(approx (* (* v v) e) #s(hole binary64 (* e (pow v 2))))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (+ 1/6 (* -2/3 e))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ 1 (cos v))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (* e (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (- 1 (* 1/6 (pow v 2)))) e)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (/ 1 e) (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 e)))
#s(approx (- 1 e) #s(hole binary64 (* e (- (/ 1 e) 1))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* 2/3 (* (pow e 2) (pow v 2)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* (pow e 2) (- (* -1/6 (/ (pow v 2) e)) (* -2/3 (pow v 2))))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* -2/3 (* (pow e 2) (pow v 2)))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* (pow e 2) (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* -2/3 e)))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* e (- (* 1/6 (/ 1 e)) 2/3))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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 (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 (* e (- 1 (/ 1 e))))))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* -1 (* e (- 2/3 (* 1/6 (/ 1 e)))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (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 (+ 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 (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ e (+ 1 e))))
#s(approx (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (+ (* (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 (* -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 (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 e))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e)))))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ e (+ 1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (- (sin v) (* e (* (cos v) (sin v)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* e (* (pow v 3) (+ 1/6 (* -2/3 e)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow v 3) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (/ (* e (- 1 e)) (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow v 2) (- (/ (* e (- 1 e)) (pow v 2)) (* e (+ 1/6 (* -2/3 e)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ (* e (- 1 e)) (pow v 2))) (* e (+ 1/6 (* -2/3 e))))))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	e	@	-inf	((* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) (sin v) v (* e (/ 1 (+ (* (cos v) e) 1))) e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (- 1 e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (* (* v v) e) (* v v) (+ (* -2/3 e) 1/6) -2/3 1/6 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e))
5.0ms	v	@	-inf	((* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) (sin v) v (* e (/ 1 (+ (* (cos v) e) 1))) e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (- 1 e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (* (* v v) e) (* v v) (+ (* -2/3 e) 1/6) -2/3 1/6 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e))
5.0ms	v	@	inf	((* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) (sin v) v (* e (/ 1 (+ (* (cos v) e) 1))) e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (- 1 e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (* (* v v) e) (* v v) (+ (* -2/3 e) 1/6) -2/3 1/6 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e))
4.0ms	v	@	0	((* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) (sin v) v (* e (/ 1 (+ (* (cos v) e) 1))) e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (- 1 e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (* (* v v) e) (* v v) (+ (* -2/3 e) 1/6) -2/3 1/6 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e))
4.0ms	e	@	inf	((* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) (sin v) v (* e (/ 1 (+ (* (cos v) e) 1))) e (/ 1 (+ (* (cos v) e) 1)) 1 (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ 1 e)) (* e v) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (- 1 e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (* (* v v) e) (* v v) (+ (* -2/3 e) 1/6) -2/3 1/6 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e))

rewrite251.0ms (7%)

Memory

6.2MiB live, 238.2MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	663	3990
0	696	3754
1	4511	3740
0	8286	3630
1	25992	3630

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

161 → 269

Calls

Call 1

Inputs
(.f64 (sin.f64 v) (.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(sin.f64 v)
v
(*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
e
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
(*.f64 e #s(approx (/ v (+ 1 e)) v))
#s(approx (/ v (+ 1 e)) v)
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#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos 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))))))
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#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (+ 1 e) #s(hole binary64 (+ 1 e)))
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#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (- 1 (* 1/6 (pow v 2))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 (* 1/6 (pow v 2))))))
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#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ 1 (cos v))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (* e (cos v)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2)))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4))))) e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
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#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (+ 1 e) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (- 1 (* 1/6 (pow v 2)))) e)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (/ 1 e) (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 e)))
#s(approx (- 1 e) #s(hole binary64 (* e (- (/ 1 e) 1))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* 2/3 (* (pow e 2) (pow v 2)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* (pow e 2) (- (* -1/6 (/ (pow v 2) e)) (* -2/3 (pow v 2))))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* -2/3 (* (pow e 2) (pow v 2)))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* (pow e 2) (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* -2/3 e)))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* e (- (* 1/6 (/ 1 e)) 2/3))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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 (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 (* e (- 1 (/ 1 e))))))
#s(approx (+ (* -2/3 e) 1/6) #s(hole binary64 (* -1 (* e (- 2/3 (* 1/6 (/ 1 e)))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (cos v) e) 1)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (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 (+ 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))))))
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#s(approx (* e (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))))
#s(approx (+ (* (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 (* -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 (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 e))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) #s(hole binary64 (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e)))))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) #s(hole binary64 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (* (sin v) (* e (/ 1 (+ (* (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 (/ 1 (+ (* (cos v) e) 1))) #s(hole binary64 (/ e (+ 1 (* e (cos v))))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(hole binary64 (/ 1 (+ 1 (* e (cos v))))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (- (sin v) (* e (* (cos v) (sin v)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* e (* (pow v 3) (+ 1/6 (* -2/3 e)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow v 3) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (/ (* e (- 1 e)) (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow v 2) (- (/ (* e (- 1 e)) (pow v 2)) (* e (+ 1/6 (* -2/3 e)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ (* e (- 1 e)) (pow v 2))) (* e (+ 1/6 (* -2/3 e))))))))

Outputs
(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (cos.f64 v) e (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(+.f64 (.f64 (cos.f64 v) e) (.f64 e (/.f64 #s(literal 1 binary64) e)))
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(sin.f64 (+.f64 (fabs.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 v)))
(cos.f64 (fabs.f64 (fabs.f64 v)))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (fabs.f64 v))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ v (+ 1 e)) v) e))
(*.f64 #s(approx (/ v (+ 1 e)) v) e)
(*.f64 e #s(approx (/ v (+ 1 e)) v))
#s(approx (/ v (+ 1 e)) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
(.f64 (.f64 e v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(*.f64 v e)
(-.f64 #s(literal 1 binary64) (neg.f64 e))
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) v))
(.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) v)
(.f64 v (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) v (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))
(fma.f64 v (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (.f64 v (*.f64 (-.f64 #s(literal 1 binary64) e) e)))
(+.f64 (.f64 v (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) (.f64 v (.f64 (-.f64 #s(literal 1 binary64) e) e)))
(+.f64 (.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) v))
(fma.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 (neg.f64 e) (.f64 (.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 (.f64 (.f64 v v) e) (neg.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 (-.f64 #s(literal 1 binary64) e) e (.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 e (-.f64 #s(literal 1 binary64) e) (.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (neg.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))
(-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(-.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (.f64 (neg.f64 e) (-.f64 #s(literal 1 binary64) e)))
(-.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(+.f64 (.f64 (neg.f64 (.f64 (.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) (.f64 (-.f64 #s(literal 1 binary64) e) e))
(neg.f64 (-.f64 e #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))
(fma.f64 e #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 e)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) e)
(+.f64 (neg.f64 e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 e))
(.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))
(.f64 (neg.f64 e) (.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(.f64 (.f64 (*.f64 v v) e) (neg.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(neg.f64 (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(.f64 (.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))) e)
(.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))
(.f64 (.f64 v v) (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))
(.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (.f64 (*.f64 v v) e))
(.f64 e (.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 (.f64 v v) e) #s(literal -2/3 binary64)) e (.f64 (.f64 (.f64 v v) #s(literal 1/6 binary64)) e))
(fma.f64 (.f64 (.f64 v v) e) (.f64 #s(literal -2/3 binary64) e) (.f64 (.f64 (.f64 v v) e) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal -2/3 binary64) e) (.f64 (.f64 v v) e) (.f64 (.f64 (.f64 v v) e) #s(literal 1/6 binary64)))
(fma.f64 e (.f64 (.f64 (.f64 v v) e) #s(literal -2/3 binary64)) (.f64 e (.f64 (.f64 v v) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 v v) e) (.f64 #s(literal -2/3 binary64) e)) (.f64 (.f64 (*.f64 v v) e) #s(literal 1/6 binary64)))
(+.f64 (.f64 e (.f64 (.f64 (.f64 v v) e) #s(literal -2/3 binary64))) (.f64 e (.f64 (*.f64 v v) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 #s(literal -2/3 binary64) e) (.f64 (.f64 v v) e)) (.f64 (.f64 (*.f64 v v) e) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 (.f64 v v) e) #s(literal -2/3 binary64)) e) (.f64 (.f64 (*.f64 v v) #s(literal 1/6 binary64)) e))
(.f64 (.f64 v v) e)
(.f64 e (.f64 v v))
(.f64 v (.f64 e v))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 v)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 v #s(literal 2 binary64))
(fabs.f64 (neg.f64 (*.f64 v v)))
(fabs.f64 (*.f64 v v))
(fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))
(fma.f64 e #s(literal -2/3 binary64) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal -2/3 binary64) e) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2/3 binary64) e))
(-.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 #s(literal -2/3 binary64) e)))
(+.f64 (*.f64 #s(literal -2/3 binary64) e) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -2/3 binary64) e))
#s(literal -2/3 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (-.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e) (sin.f64 v)) (.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (sin.f64 v))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (sin.f64 v)))) e) (.f64 (cos.f64 v) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) e)
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (.f64 (fma.f64 e (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e) (cos.f64 v)) #s(literal 1 binary64)) e))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e) (cos.f64 v)) e #s(literal 1 binary64)) e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 e (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e) (cos.f64 v)) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))) e) (cos.f64 v)) e #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (/ v (+ 1 e))) (*.f64 e 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 (-.f64 (.f64 e v) v) e v) e))
#s(approx (* e (/ v (+ 1 e))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (*.f64 (neg.f64 e) v) (neg.f64 v)) e) v) e v) e))
#s(approx (/ v (+ 1 e)) v)
#s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (*.f64 e v) v) e v))
#s(approx (/ v (+ 1 e)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 e) v) (neg.f64 v)) e) v) e v))
#s(approx (+ 1 e) (+.f64 #s(literal 1 binary64) e))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) e))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 e) (.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (-.f64 (fma.f64 (neg.f64 e) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (.f64 v v) #s(literal 1/6 binary64))) e))
#s(approx (- 1 e) (-.f64 #s(literal 1 binary64) e))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64)))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (fma.f64 (.f64 #s(literal 2/3 binary64) e) (.f64 v v) (.f64 #s(literal -1/6 binary64) (*.f64 v v))) e))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (.f64 (.f64 (*.f64 v v) e) #s(literal 1/6 binary64)))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
#s(approx (* (* v v) e) (.f64 (.f64 v v) e))
#s(approx (+ (* -2/3 e) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* -2/3 e) 1/6) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (tan.f64 v)) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))) (tan.f64 v)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) (/.f64 (sin.f64 v) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (/.f64 #s(literal 1 binary64) (cos.f64 v)))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))) e))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))) e))
#s(approx (+ (* (cos v) e) 1) (*.f64 (cos.f64 v) e))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v))
#s(approx (* e (/ v (+ 1 e))) (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (+.f64 (/.f64 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))))
#s(approx (/ v (+ 1 e)) (/.f64 v e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e))
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (+.f64 (/.f64 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))) e))
#s(approx (+ 1 e) (fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (neg.f64 (.f64 (.f64 (cos.f64 v) (sin.f64 v)) (*.f64 e e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (neg.f64 (.f64 (.f64 (.f64 e e) v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e)))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (.f64 e e) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 v v) e) #s(literal 1/6 binary64) (.f64 (*.f64 v v) #s(literal -2/3 binary64))))))
#s(approx (- 1 e) (neg.f64 e))
#s(approx (- 1 e) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 e e)) (.f64 v v)))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (.f64 e e) (fma.f64 (/.f64 (.f64 v v) e) #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) (*.f64 v v)))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (.f64 v v)))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (.f64 (.f64 e e) (fma.f64 (/.f64 (.f64 v v) e) #s(literal 1/6 binary64) (.f64 (*.f64 v v) #s(literal -2/3 binary64)))))
#s(approx (+ (* -2/3 e) 1/6) (*.f64 #s(literal -2/3 binary64) e))
#s(approx (+ (* -2/3 e) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (pow.f64 (cos.f64 v) #s(literal -3 binary64))) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))) e)))
#s(approx (+ (* (cos v) e) 1) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 v) e) v) e)) v) e)) v))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e)) (neg.f64 v)) e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e)))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 v v) e) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))) (.f64 e e)))
#s(approx (- 1 e) (*.f64 (neg.f64 e) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
#s(approx (+ (* -2/3 e) 1/6) (*.f64 (neg.f64 e) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (-.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/2 binary64) (.f64 e (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/24 binary64) (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)) (/.f64 (.f64 #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) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (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 (+ (* (cos v) e) 1))) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (fma.f64 (fma.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 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (.f64 v v))) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (.f64 v v))) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64))) (.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/48 binary64)))) (.f64 v v))) (fma.f64 (/.f64 (.f64 e e) (.f64 (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/4 binary64) (.f64 (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64)))) (.f64 v v) (.f64 #s(literal 1/2 binary64) (/.f64 e (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) e) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/24 binary64) e)) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) (.f64 v v)) e (.f64 (neg.f64 e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (neg.f64 e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (.f64 (fma.f64 (neg.f64 e) (.f64 (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64)) (.f64 v v)) (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) e)) (.f64 v v))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))
#s(approx (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
#s(approx (* (* (* v v) e) (+ (* -2/3 e) 1/6)) (.f64 (.f64 (*.f64 v v) e) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
#s(approx (* v v) (*.f64 v v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/120 binary64) e)) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (sin v) (sin.f64 v))
#s(approx (* e (/ 1 (+ (* (cos v) e) 1))) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (/ 1 (+ (* (cos v) e) 1)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (neg.f64 e) (.f64 (.f64 (.f64 v v) v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 v v)) (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)) (.f64 (.f64 v v) v)))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (.f64 v v) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 v v)) (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (*.f64 v v))))))

eval45.0ms (1.3%)

Memory: 24.6MiB live, 70.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 290 to 1 381 computations (58% saved)

prune20.0ms (0.6%)

Memory

-11.4MiB live, 42.9MiB allocated; 3ms collecting garbage

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	250	13	263
Fresh	4	6	10
Picked	1	4	5
Done	1	1	2
Total	256	24	280

Accuracy

99.9%

Counts

280 → 24

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) (.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
	51.9%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
✓	99.8%	(.f64 (sin.f64 v) (.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
	98.5%	(.f64 (sin.f64 v) (.f64 e #s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))))
	96.9%	(.f64 (sin.f64 v) #s(approx ( e (/ 1 (+ (* (cos v) e) 1))) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))))
▶	2.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
✓	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e (neg.f64 (.f64 (.f64 v (.f64 e v)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))) v)))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(approx (neg ( (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64)))) v)))
	70.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e)) v)))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
▶	26.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))) v)))
▶	43.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) e))))
	26.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (neg.f64 e) (.f64 (.f64 (.f64 v v) v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))))
▶	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))

Compiler

Compiled 1 039 to 965 computations (7.1% saved)

series73.0ms (2%)

Memory

-7.1MiB live, 86.7MiB allocated; 4ms collecting garbage

Counts

39 → 153

Calls

Call 1

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

Outputs
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (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 (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos 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 v) e) v) #s(hole binary64 (* -1 (/ v e))))
#s(approx (+ (/ (neg v) e) v) #s(hole binary64 (/ (+ (* -1 v) (* e v)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (* -1 (/ v (pow e 2)))))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (/ (- (* e v) v) (pow e 2))))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ v (pow e 2))))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ (+ v (* -1 (* e v))) (pow e 2))))
#s(approx (- (/ v e) v) #s(hole binary64 (/ v e)))
#s(approx (- (/ v e) v) #s(hole binary64 (/ (+ v (* -1 (* e v))) e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (* v (- 1 (* 1/6 (pow v 2)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (- 1 (* 1/6 (pow v 2))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 (* 1/6 (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- (+ 1 (* -1 (* e (+ 1 (* -2/3 (pow v 2)))))) (* 1/6 (pow v 2))))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) #s(hole binary64 (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) #s(hole binary64 (* (pow e 2) (+ 1 (* -2/3 (pow v 2))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) #s(hole binary64 (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (/ (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))) e)))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (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 (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
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#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
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#s(approx (- (/ v e) v) #s(hole binary64 (* -1 v)))
#s(approx (- (/ v e) v) #s(hole binary64 (- (/ v e) v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))))
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#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (/ 1 e) (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (* -1 (* v (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (cos v) e) 1)) (sin 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 (+ (* (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)))))
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#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (/ v e)) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (/ v e) v) e))) e))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 (/ (- (/ v e) v) e)) v) e))) e))))
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#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (cos v) e) 1)) (sin 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 (+ (* (cos v) e) 1)) (sin 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 (+ (* (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 (* -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 (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 (+ (/ (neg v) e) v) #s(hole binary64 (* v (- 1 (/ 1 e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ v (+ 1 e))))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (* v (- (/ 1 e) (/ 1 (pow e 2))))))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ (* v (- (/ 1 e) 1)) e)))
#s(approx (- (/ v e) v) #s(hole binary64 (* v (- (/ 1 e) 1))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* e (* v (- 1 e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* e (* (pow v 2) (- 1/120 (* 2/15 e))))))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (* (pow v 2) (+ (* -1 (* e (* (pow v 2) (+ 1/5040 (* -4/315 e))))) (* e (- 1/120 (* 2/15 e)))))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 e))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (+ (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e))))) (* e (- 1 e)))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) #s(hole binary64 (* -1 (pow e 2))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) #s(hole binary64 (- (* 2/3 (* (pow e 2) (pow v 2))) (pow e 2))))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) #s(hole binary64 (+ (* -2/3 (* (pow e 2) (pow v 2))) (pow e 2))))
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#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1))))
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#s(approx (+ (* -1/6 (* v v)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos 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 (sin v) #s(hole binary64 (sin v)))
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#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* e (* (pow v 3) (+ 1/6 (* -2/3 e)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow v 3) (+ (* -1 (* e (+ 1/6 (* -2/3 e)))) (/ (* e (- 1 e)) (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* -1 (* e (* (pow v 2) (+ 1/6 (* -2/3 e)))))))
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#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) #s(hole binary64 (* 2/3 (* (pow e 2) (pow v 2)))))
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#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) #s(hole binary64 (* (pow v 2) (+ (* -2/3 (pow e 2)) (/ (pow e 2) (pow v 2))))))
#s(approx (+ (* (* v v) -2/3) 1) #s(hole binary64 (* -2/3 (pow v 2))))
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#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (* (pow v 3) (- 2/3 (* 1/6 (/ 1 e))))))
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Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	v	@	-inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) v 1 (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (/ (neg v) e) v) (/ (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (neg (/ (- (/ v e) v) e)) (/ (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (* (* e e) (+ (* (* v v) -2/3) 1)) (* e e) (+ (* (* v v) -2/3) 1) (* v v) -2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/ (* (+ (* -1/6 (* v v)) 1) v) e) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6)
16.0ms	e	@	inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) v 1 (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (/ (neg v) e) v) (/ (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (neg (/ (- (/ v e) v) e)) (/ (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (* (* e e) (+ (* (* v v) -2/3) 1)) (* e e) (+ (* (* v v) -2/3) 1) (* v v) -2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/ (* (+ (* -1/6 (* v v)) 1) v) e) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6)
10.0ms	e	@	0	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) v 1 (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (/ (neg v) e) v) (/ (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (neg (/ (- (/ v e) v) e)) (/ (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (* (* e e) (+ (* (* v v) -2/3) 1)) (* e e) (+ (* (* v v) -2/3) 1) (* v v) -2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/ (* (+ (* -1/6 (* v v)) 1) v) e) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6)
7.0ms	v	@	inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) v 1 (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (/ (neg v) e) v) (/ (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (neg (/ (- (/ v e) v) e)) (/ (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (* (* e e) (+ (* (* v v) -2/3) 1)) (* e e) (+ (* (* v v) -2/3) 1) (* v v) -2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/ (* (+ (* -1/6 (* v v)) 1) v) e) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6)
6.0ms	v	@	0	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) e (+ (* (cos v) e) 1) (cos v) v 1 (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (/ (neg v) e) v) (/ (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (neg (/ (- (/ v e) v) e)) (/ (- (/ v e) v) e) (- (/ v e) v) (/ v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (* (* e e) (+ (* (* v v) -2/3) 1)) (* e e) (+ (* (* v v) -2/3) 1) (* v v) -2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/ (* (+ (* -1/6 (* v v)) 1) v) e) (* (+ (* -1/6 (* v v)) 1) v) (+ (* -1/6 (* v v)) 1) -1/6)

rewrite234.0ms (6.6%)

Memory

42.2MiB live, 227.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	4863
0	746	4595
1	4624	4593
0	8361	4484
1	25827	4484

Stop Event

1×	saturated
1×	node-limit
1×	iter-limit

Counts

192 → 351

Calls

Call 1

Inputs
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 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)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v))
(+.f64 (/.f64 (neg.f64 v) e) v)
(/.f64 (neg.f64 v) e)
(neg.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))))
(*.f64 e #s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e))))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)))
(neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e))
(/.f64 (-.f64 (/.f64 v e) v) e)
(-.f64 (/.f64 v e) v)
(/.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))) v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))) v))
(.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))) v)
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))))
(neg.f64 (.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))))
(.f64 (.f64 e e) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))
(*.f64 e e)
(fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -2/3 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e)))
(.f64 (fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)) (*.f64 e e))
(fma.f64 (neg.f64 v) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) e))
(/.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v) e)
(.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)
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (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 (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos 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))))))
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#s(approx (+ (/ (neg v) e) v) #s(hole binary64 (* -1 (/ v e))))
#s(approx (+ (/ (neg v) e) v) #s(hole binary64 (/ (+ (* -1 v) (* e v)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (* -1 (/ v (pow e 2)))))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (/ (- (* e v) v) (pow e 2))))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ v (pow e 2))))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ (+ v (* -1 (* e v))) (pow e 2))))
#s(approx (- (/ v e) v) #s(hole binary64 (/ v e)))
#s(approx (- (/ v e) v) #s(hole binary64 (/ (+ v (* -1 (* e v))) e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (* v (- 1 (* 1/6 (pow v 2)))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* e (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (- 1 (* 1/6 (pow v 2))))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- 1 (* 1/6 (pow v 2))))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* e (- (+ 1 (* -1 (* e (+ 1 (* -2/3 (pow v 2)))))) (* 1/6 (pow v 2))))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) #s(hole binary64 (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) #s(hole binary64 (* (pow e 2) (+ 1 (* -2/3 (pow v 2))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
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#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (/ (+ (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))) e)))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin v)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (cos v) e) 1)) (sin 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 (+ (* (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 (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (+ v (* -1 (/ v e))) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (/ v (pow e 2))) (/ v e)) e)))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (/ (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)))
#s(approx (neg (/ (- (/ v e) v) e)) #s(hole binary64 (/ (- (* -1 (/ v e)) (* -1 v)) e)))
#s(approx (/ (- (/ v e) v) e) #s(hole binary64 (/ (+ (* -1 v) (/ v e)) e)))
#s(approx (- (/ v e) v) #s(hole binary64 (* -1 v)))
#s(approx (- (/ v e) v) #s(hole binary64 (- (/ v e) v)))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (- 1 (* 1/6 (pow v 2)))) e)))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(hole binary64 (* (pow e 2) (- (/ 1 e) (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e))))))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (* -1 (* v (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) #s(hole binary64 (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e))))
#s(approx (* (/ e (+ (* (cos v) e) 1)) (sin 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 (+ (* (cos v) e) 1)) (sin 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 (+ (* (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))))))
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Outputs
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#s(approx (/ e (+ (* (cos v) e) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) e))))
#s(approx (/ e (+ (* (cos v) e) 1)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 v))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) e))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (.f64 (.f64 e e) e)))))
#s(approx (+ (* (cos v) e) 1) (*.f64 (cos.f64 v) e))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (/ v (+ 1 e))) (neg.f64 (-.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 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))))
#s(approx (/ v (+ 1 e)) (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e))
#s(approx (/ v (+ 1 e)) (/.f64 (-.f64 (+.f64 (/.f64 v (*.f64 e e)) v) (/.f64 v e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 (+.f64 (+.f64 (/.f64 v (.f64 e e)) v) (-.f64 (/.f64 (neg.f64 v) (.f64 (*.f64 e e) e)) (/.f64 v e))) e))
#s(approx (neg (/ (- (/ v e) v) e)) (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e))
#s(approx (/ (- (/ v e) v) e) (/.f64 (-.f64 (/.f64 v e) v) e))
#s(approx (- (/ v e) v) (neg.f64 v))
#s(approx (- (/ v e) v) (-.f64 (/.f64 v e) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (neg.f64 (.f64 (.f64 (cos.f64 v) (sin.f64 v)) (*.f64 e e))))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (neg.f64 (.f64 e e)) (.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) v)))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (neg.f64 v) (/.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) e) e))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (.f64 e e) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 v v) e) #s(literal 1/6 binary64) (.f64 (*.f64 v v) #s(literal -2/3 binary64))))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (neg.f64 v) (/.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) e) e))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (neg.f64 v)))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (fma.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) (neg.f64 v) (/.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) e)) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (neg.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)))) e)) (/.f64 (sin.f64 v) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (tan.f64 v)))
#s(approx (/ e (+ (* (cos v) e) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))))
#s(approx (/ e (+ (* (cos v) e) 1)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) e)) (/.f64 #s(literal 1 binary64) (cos.f64 v))))
#s(approx (+ (* (cos v) e) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) e)))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e)) v))
#s(approx (* e (/ v (+ 1 e))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e)) v) e)) v))
#s(approx (/ v (+ 1 e)) (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e) v) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e) v) e)) (neg.f64 v)) e)))
#s(approx (neg (/ (- (/ v e) v) e)) (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e))
#s(approx (/ (- (/ v e) v) e) (neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 v e) v)) e)))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 v v) e) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64))) (.f64 e e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (-.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal -1/2 binary64) (.f64 e (/.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/24 binary64) (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v)) (/.f64 (.f64 #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 (+ (* (cos v) e) 1)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ e (+ (* (cos v) e) 1)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #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 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) e) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) (.f64 v v))) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/24 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (sin v) (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
#s(approx (+ (/ (neg v) e) v) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (neg (/ (- (/ v e) v) e)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) (.f64 e e))) v))
#s(approx (/ (- (/ v e) v) e) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e))
#s(approx (- (/ v e) v) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (.f64 (*.f64 v v) e))) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) (.f64 v v)) e (neg.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal 2/15 binary64) e)) e (neg.f64 (.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -4/315 binary64) e #s(literal 1/5040 binary64))))) (neg.f64 (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (.f64 (.f64 v v) e))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (neg.f64 (*.f64 e e)))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (-.f64 (.f64 (.f64 #s(literal 2/3 binary64) (.f64 e e)) (.f64 v v)) (*.f64 e e)))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) (fma.f64 (.f64 (.f64 e e) #s(literal -2/3 binary64)) (.f64 v v) (.f64 e e)))
#s(approx (+ (* (* v v) -2/3) 1) (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (*.f64 e e) v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (.f64 e e) (-.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) v))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (.f64 v v) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) v))
#s(approx (/ (* (+ (* -1/6 (* v v)) 1) v) e) (.f64 (fma.f64 (/.f64 (.f64 v v) e) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) e)) v))
#s(approx (+ (* -1/6 (* v v)) 1) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ e (+ (* (cos v) e) 1)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (cos v) (cos.f64 v))
#s(approx (sin v) (sin.f64 v))
#s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (sin.f64 v) (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) e))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (neg.f64 (.f64 (.f64 e (.f64 (.f64 v v) v)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 v v)) (.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)) (.f64 (.f64 v v) v)))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))))
#s(approx (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (.f64 v v) (-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (.f64 v v)) (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e))))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 e e)) (.f64 v v)))
#s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (.f64 (neg.f64 (fma.f64 (.f64 e e) #s(literal -2/3 binary64) (/.f64 (.f64 e e) (.f64 v v)))) (*.f64 v v)))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) (.f64 (.f64 (.f64 e e) #s(literal -2/3 binary64)) (.f64 v v)))
#s(approx (* (* e e) (+ (* (* v v) -2/3) 1)) (.f64 (.f64 v v) (fma.f64 (.f64 e e) #s(literal -2/3 binary64) (/.f64 (.f64 e e) (*.f64 v v)))))
#s(approx (+ (* (* v v) -2/3) 1) (.f64 (.f64 v v) #s(literal -2/3 binary64)))
#s(approx (+ (* (* v v) -2/3) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 2/3 binary64)) (*.f64 v v)))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (.f64 (.f64 v v) v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 e e)))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (.f64 e e) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (.f64 e e)) (.f64 v v))) (.f64 (*.f64 v v) v)))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (.f64 (*.f64 v v) v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (+.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) e)) (/.f64 #s(literal 1 binary64) (.f64 v v)))) (.f64 (.f64 v v) v)))
#s(approx (/ (* (+ (* -1/6 (* v v)) 1) v) e) (.f64 (/.f64 (.f64 (*.f64 v v) v) e) #s(literal -1/6 binary64)))
#s(approx (/ (* (+ (* -1/6 (* v v)) 1) v) e) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) e)) (/.f64 #s(literal 1/6 binary64) e)) (.f64 (*.f64 v v) v)))
#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 (+ (/ (neg v) e) v) (*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
#s(approx (neg (/ (- (/ v e) v) e)) (.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (- (/ v e) v) e) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v) e)))
#s(approx (- (/ v e) v) (*.f64 (neg.f64 v) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
#s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e (neg.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (*.f64 v v))))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (neg.f64 (.f64 e e)) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (.f64 (*.f64 v v) v))))
#s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (.f64 e e) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (.f64 e e)) (*.f64 v v)))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (.f64 (*.f64 v v) (neg.f64 v)) (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64))))
#s(approx (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 #s(literal 1/6 binary64) e)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 v v) e)))))
#s(approx (/ (* (+ (* -1/6 (* v v)) 1) v) e) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (-.f64 (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 v v) e)))))
#s(approx (* (+ (* -1/6 (* v v)) 1) v) (.f64 (.f64 (.f64 v v) (neg.f64 v)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))

eval60.0ms (1.7%)

Memory: -8.6MiB live, 89.7MiB allocated; 26ms collecting garbage
Compiler: Compiled 4 609 to 2 077 computations (54.9% saved)

prune41.0ms (1.1%)

Memory

-35.2MiB live, 59.7MiB allocated; 6ms collecting garbage

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	349	11	360
Fresh	4	10	14
Picked	4	1	5
Done	0	5	5
Total	357	27	384

Accuracy

99.9%

Counts

384 → 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) (.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) e))
	51.9%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
✓	99.8%	(.f64 (sin.f64 v) (.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
	98.5%	(.f64 (sin.f64 v) (.f64 e #s(approx (/ 1 (+ (* (cos v) e) 1)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))))
	96.9%	(.f64 (sin.f64 v) #s(approx ( e (/ 1 (+ (* (cos v) e) 1))) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ (neg ( (* (cos v) e) (sin v))) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
✓	52.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))))
✓	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(approx (neg ( (* (* v v) e) (+ (* -2/3 e) 1/6))) (.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64)))) v)))
	70.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) v)))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	26.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (.f64 (neg.f64 (.f64 (*.f64 v v) e)) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))) v)))
	27.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 (.f64 e e) #s(approx (+ (* (* v v) -2/3) 1) (.f64 (.f64 v v) #s(literal -2/3 binary64)))))) v)))
	27.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) (neg.f64 (.f64 e (.f64 (fma.f64 (*.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) e)))) v)))
	27.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (.f64 (.f64 #s(literal 2/3 binary64) (.f64 e e)) (.f64 v v)))) v)))
	27.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (neg.f64 (*.f64 e e)))) v)))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e))))
	26.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 (neg.f64 (.f64 e e)) (.f64 (fma.f64 (.f64 v v) #s(literal -2/3 binary64) #s(literal 1 binary64)) v)))))
	42.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) (.f64 #s(approx (+ ( (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
	40.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) #s(approx (* (+ (* (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) v) #s(approx (* (+ (* (neg v) (+ (* (* v v) -2/3) 1)) (/ (* (+ (* -1/6 (* v v)) 1) v) e)) (* e e)) (.f64 (.f64 (*.f64 e e) v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (/ (neg v) e) v) (/.f64 (neg.f64 v) e))))

Compiler

Compiled 1 268 to 946 computations (25.4% saved)

regimes44.0ms (1.2%)

Memory

23.9MiB live, 71.0MiB allocated; 1ms collecting garbage

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	e
11.0ms	v
11.0ms	(/.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)

regimes33.0ms (0.9%)

Memory

16.0MiB live, 65.7MiB allocated; 3ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	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
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)

regimes33.0ms (0.9%)

Memory

-42.4MiB live, 52.2MiB allocated; 2ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.7%	1	`e`
98.7%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes39.0ms (1.1%)

Memory

5.3MiB live, 52.3MiB allocated; 1ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

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:

21.0ms	e
8.0ms	v
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes44.0ms (1.2%)

Memory

1.4MiB live, 50.0MiB allocated; 2ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

27.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
8.0ms	v
7.0ms	e

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)

regimes9.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

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)

regimes8.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	v
2.0ms	e
2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 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)

regimes23.0ms (0.6%)

Memory

-30.2MiB live, 17.2MiB allocated; 1ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	v
2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	e

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)

regimes6.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

2.0ms	v
2.0ms	e
2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
52.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.0%	1	`e`
52.0%	1	`v`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Accuracy

Total -31.2b remaining (-99.3%)

Threshold costs -31.2b (-99.3%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (/ (neg v) e) v) (/.f64 (neg.f64 v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (neg (* (* (cos v) e) (sin v))) (sin v)) e) (.f64 #s(approx (+ ( (- 1 e) e) (neg (* (* (* v v) e) (+ (* -2/3 e) 1/6)))) #s(approx (neg (* (* e e) (+ (* (* v v) -2/3) 1))) (neg.f64 (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))

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

Calls

3 calls:

2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v
2.0ms	e

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)

bsearch4.0ms (0.1%)

Memory

-40.8MiB live, 6.4MiB allocated; 1ms 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: 2.0ms

ival-mult!: 1.0ms (62.2% of total)

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

derivations351.0ms (9.9%)

Memory

38.9MiB live, 333.2MiB allocated; 83ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 104 to 69 computations (33.7% saved)

preprocess225.0ms (6.3%)

Memory: -10.7MiB live, 228.0MiB allocated; 24ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 453 to 394 computations (13% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.2%)

sample1.3s (35.1%)

preprocess62.0ms (1.7%)

series14.0ms (0.4%)

rewrite284.0ms (8%)

eval8.0ms (0.2%)

prune12.0ms (0.3%)

series29.0ms (0.8%)

rewrite242.0ms (6.8%)

eval28.0ms (0.8%)

prune15.0ms (0.4%)

series64.0ms (1.8%)

rewrite251.0ms (7%)

eval45.0ms (1.3%)

prune20.0ms (0.6%)

series73.0ms (2%)

rewrite234.0ms (6.6%)

eval60.0ms (1.7%)

prune41.0ms (1.1%)

regimes44.0ms (1.2%)

regimes33.0ms (0.9%)

regimes33.0ms (0.9%)

regimes39.0ms (1.1%)

regimes44.0ms (1.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes23.0ms (0.6%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch4.0ms (0.1%)

derivations351.0ms (9.9%)

preprocess225.0ms (6.3%)

end0.0ms (0%)

Profiling