Trigonometry A

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze7.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (34.5%)

Memory
23.5MiB live, 1 331.5MiB allocated; 198ms collecting garbage
Samples
898.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 616.0ms
ival-sin: 204.0ms (33.1% of total)
ival-cos: 188.0ms (30.5% of total)
ival-mult: 114.0ms (18.5% of total)
ival-div: 51.0ms (8.3% of total)
ival-add: 47.0ms (7.6% of total)
exact: 8.0ms (1.3% of total)
adjust: 2.0ms (0.3% of total)
ival-assert: 1.0ms (0.2% of total)
Bogosity

explain124.0ms (3.6%)

Memory
25.5MiB live, 124.8MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 11.0ms (30.7% of total)
ival-cos: 11.0ms (30.7% of total)
ival-mult: 7.0ms (19.6% of total)
ival-div: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess218.0ms (6.4%)

Memory
-0.1MiB live, 229.1MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02970
18268
217066
333866
468566
5167366
6695766
0911
01511
13211
25211
310211
424111
577711
6446111
0807110
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

series18.0ms (0.5%)

Memory
-20.4MiB live, 25.0MiB allocated; 4ms collecting garbage
Counts
9 → 46
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

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

rewrite197.0ms (5.8%)

Memory
-11.0MiB live, 228.5MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval11.0ms (0.3%)

Memory
21.2MiB live, 21.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 091 to 413 computations (80.2% saved)

prune7.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New84892
Fresh000
Picked101
Done000
Total85893
Accuracy
99.9%
Counts
93 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
99.3%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
▶99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
▶98.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
▶48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
4.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
Compiler

Compiled 288 to 198 computations (31.3% saved)

series70.0ms (2.1%)

Memory
-5.2MiB live, 92.9MiB allocated; 11ms collecting garbage
Counts
29 → 204
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
e
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
(fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(*.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(*.f64 (cos.f64 v) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 e (sin.f64 v))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (sin v))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx e #s(hole binary64 e))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (sin v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 v))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* -1 (* e v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e v) v)))))
#s(approx (/ v (+ 1 e)) #s(hole binary64 (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v)))))
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#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 v))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* -2/3 (pow v 2))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (* e v) (- (/ 1 (- 1 e)) (/ (pow e 2) (- 1 e))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (- (/ 1 (- 1 e)) (/ (pow e 2) (- 1 e))))) (/ (* e (- (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))) (+ (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ e (pow (- 1 e) 2)))))) (pow (- (/ 1 (- 1 e)) (/ (pow e 2) (- 1 e))) 2)))) (/ e (- (/ 1 (- 1 e)) (/ (pow e 2) (- 1 e))))))))
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#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (/ 1 (- 1 e)) (/ (pow e 2) (- 1 e)))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (+ (* (pow v 2) (- (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))) (+ (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ e (pow (- 1 e) 2)))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (+ (* (pow v 2) (- (+ (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))) (* (pow v 2) (- (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e)))) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (+ (* -1/24 (/ e (pow (- 1 e) 2))) (* 1/3 (/ (pow e 2) (- 1 e)))))))) (+ (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ e (pow (- 1 e) 2)))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (+ (* (pow v 2) (- (+ (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))) (* (pow v 2) (- (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (+ (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))) (* (pow v 2) (- (+ (* -1/24 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* 1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e)))))) (- 1 e))))) (+ (* -1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2))))) (- 1 e))) (+ (* -2/45 (/ (pow e 2) (- 1 e))) (+ (* 1/720 (/ e (pow (- 1 e) 2))) (* 1/48 (/ (pow e 2) (pow (- 1 e) 3)))))))))) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (+ (* -1/24 (/ e (pow (- 1 e) 2))) (* 1/3 (/ (pow e 2) (- 1 e)))))))) (+ (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ e (pow (- 1 e) 2)))))) (/ 1 (- 1 e))) (/ (pow e 2) (- 1 e)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ 1 (- 1 e))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ (* -1/2 (/ (* e (pow v 2)) (pow (- 1 e) 2))) (/ 1 (- 1 e)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2)))))) (* 1/2 (/ e (pow (- 1 e) 2))))) (/ 1 (- 1 e)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ e (pow (- 1 e) 2))) (* 1/48 (/ (pow e 2) (pow (- 1 e) 3))))))) (+ (* -1/4 (/ (pow e 2) (pow (- 1 e) 3))) (* -1/24 (/ e (pow (- 1 e) 2)))))) (* 1/2 (/ e (pow (- 1 e) 2))))) (/ 1 (- 1 e)))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- 1 e)))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- (+ 1 (* 1/2 (* e (pow v 2)))) e)))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e)))) e)))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e)))) e)))
#s(approx (* (cos v) e) #s(hole binary64 e))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* (cos v) e) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (/ (pow e 2) (- 1 e))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (+ (* (pow v 2) (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (* 1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))))))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (+ (* (pow v 2) (- (+ (* -1 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (+ (* 1/3 (/ (pow e 2) (- 1 e))) (* (pow v 2) (- (* -2/45 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))) (+ (* 1/720 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* 1/3 (/ (pow e 2) (- 1 e))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e)))))) (- 1 e)))))))) (+ (* -1/24 (/ (pow e 3) (pow (- 1 e) 2))) (* 1/2 (/ (* e (- (* -1 (/ (pow e 2) (- 1 e))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (- 1 e))))))) (* 1/2 (/ (pow e 3) (pow (- 1 e) 2))))) (/ (pow e 2) (- 1 e)))))
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (pow e 2)))
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))))
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))))
#s(approx (pow (* (cos v) e) 2) #s(hole binary64 (+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))))
#s(approx (* e (/ (sin v) (+ (* (cos v) e) 1))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* (cos v) (sin v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ 1 (- 1 (* e (cos v))))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- 1 (* e (cos v)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
v
@0
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) -1 (* (cos v) (sin v)) (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) (- 1 (* (cos v) e)) (* (cos v) e) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (pow (* (cos v) e) 2) 2)
8.0ms
e
@-inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) -1 (* (cos v) (sin v)) (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) (- 1 (* (cos v) e)) (* (cos v) e) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (pow (* (cos v) e) 2) 2)
8.0ms
e
@inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) -1 (* (cos v) (sin v)) (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) (- 1 (* (cos v) e)) (* (cos v) e) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (pow (* (cos v) e) 2) 2)
6.0ms
v
@inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) -1 (* (cos v) (sin v)) (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) (- 1 (* (cos v) e)) (* (cos v) e) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (pow (* (cos v) e) 2) 2)
6.0ms
v
@-inf
((* e (/ (sin v) (+ (* (cos v) e) 1))) e (/ (sin v) (+ (* (cos v) e) 1)) (sin v) v (+ (* (cos v) e) 1) (cos v) 1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) -1 (* (cos v) (sin v)) (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) (- 1 (* (cos v) e)) (* (cos v) e) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (pow (* (cos v) e) 2) 2)

rewrite232.0ms (6.8%)

Memory
-0.6MiB live, 227.9MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09338519
09787285
158207285
080557059
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
233 → 333
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
e
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
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Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
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v
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(*.f64 (sin.f64 v) (cos.f64 v))
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#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)))
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#s(approx (+ 1 e) e)
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#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v)))
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 v e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v))
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 v e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v) e) #s(literal -1 binary64) v))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 v e)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 v e) v) e) #s(literal -1 binary64) (neg.f64 v)) e)))
#s(approx (/ v (+ 1 e)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 v e) v) e)) v) e) #s(literal -1 binary64) (neg.f64 v)) e)))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (neg.f64 e) (fma.f64 (cos.f64 v) (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (tan.f64 v)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (*.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) e))
#s(approx (/ 1 (- 1 (* (cos v) e))) (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (pow.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) #s(literal -1 binary64))) (pow.f64 (cos.f64 v) #s(literal -1 binary64))) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal -3 binary64)) (/.f64 (pow.f64 e #s(literal -1 binary64)) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) (pow.f64 (cos.f64 v) #s(literal -2 binary64))) e) #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal -1 binary64))) e)))
#s(approx (- 1 (* (cos v) e)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) e))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 (neg.f64 e) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 (neg.f64 e) (+.f64 (+.f64 (/.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)) (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (cos.f64 v))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 (neg.f64 e) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 v) #s(literal -2 binary64)) (pow.f64 e #s(literal -1 binary64)) (pow.f64 (cos.f64 v) #s(literal -1 binary64))) e)) #s(literal 1 binary64)) e) #s(literal -1 binary64) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e))))) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v)) (fma.f64 (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* e (/ v (+ 1 e))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ v (+ 1 e)) (/.f64 v (+.f64 #s(literal 1 binary64) e)))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v) e))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 v v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
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#s(approx (* (cos v) (sin v)) v)
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#s(approx (* (sin v) e) (*.f64 v e))
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#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal -2/45 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))))) (*.f64 v v) (*.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/24 binary64)))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (- 1 (* (cos v) e)) (-.f64 #s(literal 1 binary64) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/2 binary64) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (* (cos v) e) e)
#s(approx (* (cos v) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
#s(approx (pow (* (cos v) e) 2) (*.f64 e e))
#s(approx (pow (* (cos v) e) 2) (fma.f64 e e (neg.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)))))
#s(approx (pow (* (cos v) e) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (pow (* (cos v) e) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 v e) #s(literal 2 binary64)) #s(literal -2/45 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 e e))) (*.f64 v v) (neg.f64 (*.f64 e e))) (*.f64 v v) (*.f64 e e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (sin v) (sin.f64 v))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (cos v) (sin v)) (*.f64 (cos.f64 v) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))
#s(approx (- 1 (* (cos v) e)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))

eval61.0ms (1.8%)

Memory
12.9MiB live, 112.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 15 669 to 1 819 computations (88.4% saved)

prune39.0ms (1.2%)

Memory
-10.2MiB live, 75.7MiB allocated; 22ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New40817425
Fresh303
Picked145
Done000
Total41221433
Accuracy
99.9%
Counts
433 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
▶99.6%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))
✓99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.3%
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
4.7%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
▶73.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
71.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) (sin.f64 v))))) e))
✓98.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
46.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
✓48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))))
68.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
▶47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
▶2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v)))
▶4.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 1 136 to 702 computations (38.2% saved)

series120.0ms (3.5%)

Memory
-14.2MiB live, 92.8MiB allocated; 125ms collecting garbage
Counts
38 → 204
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))
(*.f64 e e)
(-.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (* e (/ v (+ 1 e))) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v)))
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))
(fma.f64 (/.f64 v e) #s(literal -1 binary64) v)
(/.f64 v e)
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v))
(*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)
(*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
#s(literal 1/6 binary64)
(*.f64 v v)
(fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
(*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e)
(fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v))
(*.f64 #s(literal -1 binary64) e)
#s(approx (* (cos v) (sin v)) v)
Outputs
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* -1 (* e (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (+ (* -1 (* (cos v) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))))) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 1))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (+ 1 (* e (- (* -1 (* e (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 1))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (- (* e (- (* e (pow (cos v) 3)) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 1))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (pow (cos v) 2))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (pow (cos v) 3)) (pow (cos v) 2)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (pow (cos v) 4)) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (- (* e (pow (cos v) 5)) (* -1 (pow (cos v) 4)))) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (pow e 2)))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 e))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 (* e (+ 1 e))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 (* e (+ 1 (* e (+ 1 e))))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (- 1 e) #s(hole binary64 1))
#s(approx (- 1 e) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e v)))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (+ (* (/ v e) -1) v) #s(hole binary64 (* -1 (/ v e))))
#s(approx (+ (* (/ v e) -1) v) #s(hole binary64 (/ (+ (* -1 v) (* e v)) e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))))
#s(approx (- (* 2/3 e) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* 2/3 e) 1/6) #s(hole binary64 (- (* 2/3 e) 1/6)))
#s(approx (* 2/3 e) #s(hole binary64 (* 2/3 e)))
#s(approx (+ (* -1 e) 1) #s(hole binary64 1))
#s(approx (+ (* -1 e) 1) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (sin v)))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* -1 e) #s(hole binary64 (* -1 e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (* e (cos v))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (* e (- (/ 1 e) (* -1 (cos v))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ -1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) (pow e 2))) (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))) e)))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (* e (- (/ 1 e) (cos v)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (- (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (* -1 (cos v)) (* -1 (/ (+ 1 (/ 1 (* e (cos v)))) e))))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (- (+ (* -1 (cos v)) (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) (pow e 2)))) (/ 1 e)))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 e)))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 (* e (+ 1 (/ 1 e))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* e (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* e (- (* -1 (/ (+ 1 (/ 1 e)) (pow e 2))) (+ 1 (/ 1 e))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 e)))
#s(approx (- 1 e) #s(hole binary64 (* e (- (/ 1 e) 1))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 v))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (+ (* (/ v e) -1) v) #s(hole binary64 v))
#s(approx (+ (* (/ v e) -1) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow e 2) (- (* 2/3 (pow v 2)) 1))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* e (- (* 2/3 (pow v 2)) 1))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))))
#s(approx (- (* 2/3 e) 1/6) #s(hole binary64 (* 2/3 e)))
#s(approx (- (* 2/3 e) 1/6) #s(hole binary64 (* e (- 2/3 (* 1/6 (/ 1 e))))))
#s(approx (+ (* -1 e) 1) #s(hole binary64 (* -1 e)))
#s(approx (+ (* -1 e) 1) #s(hole binary64 (* e (- (/ 1 e) 1))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #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 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #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 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (/ (+ (/ 1 (cos v)) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #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 (- 1 (* (cos v) e)) #s(hole binary64 (* e (+ (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (* e (+ (cos v) (/ 1 e))))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (* e (+ (cos v) (+ (/ 1 e) (/ 1 (* (pow e 2) (cos v)))))))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (* e (+ (cos v) (* -1 (/ (- (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e)) 1) e)))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 (* e (+ 1 (+ (/ 1 e) (/ 1 (pow e 2))))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 (* e (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1) e)))))))
#s(approx (- 1 e) #s(hole binary64 (* -1 (* e (- 1 (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* e (/ v (+ 1 e))) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) 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 (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* -1 (* e (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* -1 (* e (+ 1 (+ (* -1 (/ (+ 1 (* -1/6 (pow v 2))) e)) (* -2/3 (pow v 2))))))))
#s(approx (- (* 2/3 e) 1/6) #s(hole binary64 (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))))
#s(approx (+ (* -1 e) 1) #s(hole binary64 (* -1 (* e (- 1 (/ 1 e))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
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Calls

6 calls:

TimeVariablePointExpression
26.0ms
e
@inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (- 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (* (/ v e) -1) v) (/ v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (- (* 2/3 e) 1/6) (* 2/3 e) 2/3 1/6 (* v v) (+ (* -1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) (* (cos v) (sin v)))
11.0ms
e
@0
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (- 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (* (/ v e) -1) v) (/ v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (- (* 2/3 e) 1/6) (* 2/3 e) 2/3 1/6 (* v v) (+ (* -1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) (* (cos v) (sin v)))
6.0ms
e
@-inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (- 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (* (/ v e) -1) v) (/ v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (- (* 2/3 e) 1/6) (* 2/3 e) 2/3 1/6 (* v v) (+ (* -1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) (* (cos v) (sin v)))
5.0ms
v
@-inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (- 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (* (/ v e) -1) v) (/ v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (- (* 2/3 e) 1/6) (* 2/3 e) 2/3 1/6 (* v v) (+ (* -1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) (* (cos v) (sin v)))
5.0ms
v
@inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (- 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (+ (* (/ v e) -1) v) (/ v e) -1 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (- (* 2/3 e) 1/6) (* 2/3 e) 2/3 1/6 (* v v) (+ (* -1 e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (* -1 e) (* (cos v) (sin v)))

rewrite232.0ms (6.8%)

Memory
-1.9MiB live, 233.6MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09508152
09837059
158867059
080966788
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
242 → 348
Calls
Call 1
Inputs
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(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
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(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
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#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6))))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 v))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* -2/3 (pow v 2))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ 1 (- 1 (* e (cos v))))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- 1 (* e (cos v)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (* (pow v 3) (- (* 2/3 e) 1/6)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (+ 1 (* -1 e))) (pow v 2))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (* (pow v 2) (- (* 2/3 e) 1/6)))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (+ 1 (* -1 e))) (pow v 2))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (* 2/3 e) 1/6))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ e (pow v 2))) (+ (* 2/3 e) (/ 1 (pow v 2)))) 1/6))))
#s(approx (* (cos v) (sin v)) #s(hole binary64 (* (cos v) (sin v))))
#s(approx (+ (* (/ v e) -1) v) #s(hole binary64 (* -1 (* v (- (/ 1 e) 1)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (+ 1 (* -1 e))) (pow v 2))))))))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))))))
(-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (cos.f64 v)) e)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) e))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(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)))))
(sin.f64 (fma.f64 #s(literal -1 binary64) v (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))
(*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (*.f64 e e)) (neg.f64 (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (neg.f64 e) (neg.f64 e))
(*.f64 (fabs.f64 e) (fabs.f64 e))
(*.f64 e e)
(pow.f64 (pow.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 e) #s(literal 2 binary64))
(pow.f64 (fabs.f64 e) #s(literal 2 binary64))
(pow.f64 e #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 e) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 e) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 e) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 e e (*.f64 #s(literal 1 binary64) e))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (* e (/ v (+ 1 e))) v)
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v)))
#s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v))
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 (neg.f64 v) e) #s(literal 2 binary64))) (-.f64 v (/.f64 (neg.f64 v) e)))
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 v) e) #s(literal 2 binary64)) (*.f64 v v)) (-.f64 (/.f64 (neg.f64 v) e) v))
(/.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 v) e) #s(literal 3 binary64))) (fma.f64 v v (-.f64 (pow.f64 (/.f64 (neg.f64 v) e) #s(literal 2 binary64)) (*.f64 v (/.f64 (neg.f64 v) e)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 v #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (neg.f64 v) e) #s(literal 2 binary64)) (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) v))))
(fma.f64 (/.f64 v e) #s(literal -1 binary64) v)
(fma.f64 #s(literal -1 binary64) (/.f64 v e) v)
(-.f64 v (*.f64 #s(literal 1 binary64) (/.f64 v e)))
(+.f64 (/.f64 (neg.f64 v) e) v)
(+.f64 v (/.f64 (neg.f64 v) e))
(/.f64 (neg.f64 v) (neg.f64 e))
(/.f64 v e)
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v))
(*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v)
(*.f64 v (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e))
(*.f64 e (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) v))
(fma.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) v (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) v))
(fma.f64 v (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 v (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) v) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) v))
(+.f64 (*.f64 v (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e)
(*.f64 e (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) e (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
(fma.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
(fma.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
(fma.f64 e (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
(fma.f64 e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 (neg.f64 e) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
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#s(literal 1 binary64) e) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.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 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 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 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal -2/45 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))))) (*.f64 v v) (*.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (- 1 (* (cos v) e)) (-.f64 #s(literal 1 binary64) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/2 binary64) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (* (cos v) e) e)
#s(approx (* (cos v) e) (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* e (/ v (+ 1 e))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (/ v e) -1) v) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v) e))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 v v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v) e))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
#s(approx (* v v) (*.f64 v v))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) v))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 v v) (*.f64 #s(literal 2/3 binary64) e)) #s(literal 1/6 binary64)) (*.f64 v v) (neg.f64 e)) #s(literal 1 binary64)) v))
#s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) (*.f64 v v))) (*.f64 v v) (*.f64 #s(literal 2/3 binary64) e)) #s(literal 1/6 binary64)) (*.f64 v v) (neg.f64 e)) #s(literal 1 binary64)) v))
#s(approx (* (cos v) (sin v)) v)
#s(approx (* (cos v) (sin v)) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (* (cos v) (sin v)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 v v)) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (* (cos v) (sin v)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (*.f64 v v)) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.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 (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- 1 (* (cos v) e)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 e (pow.f64 v #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v))) (*.f64 v v)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) e (pow.f64 v #s(literal -2 binary64)))) #s(literal 1/6 binary64)) (*.f64 v v)))
#s(approx (* (cos v) (sin v)) (*.f64 (sin.f64 v) (cos.f64 v)))
#s(approx (+ (* (/ v e) -1) v) (*.f64 (neg.f64 v) (-.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v))))))

eval52.0ms (1.5%)

Memory
39.6MiB live, 84.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 18 425 to 1 933 computations (89.5% saved)

prune31.0ms (0.9%)

Memory
9.7MiB live, 55.2MiB allocated; 6ms collecting garbage
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New36911380
Fresh01212
Picked415
Done044
Total37328401
Accuracy
99.9%
Counts
401 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
▶99.6%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
✓99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.3%
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
73.7%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
4.7%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
71.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) (sin.f64 v))))) e))
45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e #s(approx (* (cos v) (sin v)) v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) (sin.f64 v))))) e))
✓98.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
46.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
▶47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
✓48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))))
68.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) v)))
▶27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.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 (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))) v)))
40.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) (*.f64 e e))) v)))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
▶40.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
▶47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 v) e))))
✓4.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 1 975 to 1 172 computations (40.7% saved)

series50.0ms (1.5%)

Memory
-35.5MiB live, 67.4MiB allocated; 11ms collecting garbage
Counts
41 → 219
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))
#s(approx (/ (* e e) (- 1 e)) (*.f64 e e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
(*.f64 #s(approx (sin v) v) e)
#s(approx (sin v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e)
(*.f64 (*.f64 v v) e)
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v))
(*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)
(*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e))
(fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)
(fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))
Outputs
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* -1 (* e (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (+ (* -1 (* (cos v) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2))))))) (+ (* -1 (* (sin v) (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 1))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (+ 1 (* e (- (* -1 (* e (+ (* -1 (pow (cos v) 2)) (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 1))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (- (* e (pow (cos v) 2)) (* -1 (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (+ 1 (* e (- (* e (- (* e (pow (cos v) 3)) (* -1 (pow (cos v) 2)))) (* -1 (cos v)))))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 1))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (* (cos v) e) #s(hole binary64 (* e (cos v))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (pow (cos v) 2))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (pow (cos v) 3)) (pow (cos v) 2)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (pow (cos v) 4)) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* (pow e 2) (+ (* e (- (* e (- (* e (pow (cos v) 5)) (* -1 (pow (cos v) 4)))) (* -1 (pow (cos v) 3)))) (pow (cos v) 2)))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (pow e 2)))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 e))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 (* e (+ 1 e))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* (pow e 2) (+ 1 (* e (+ 1 (* e (+ 1 e))))))))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (* (* v v) e) #s(hole binary64 (* e (pow v 2))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (+ 1 (* -1/6 (pow v 2))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow v 2)) (* e (- (* 2/3 (pow v 2)) 1))))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* e (- (* 2/3 (pow v 2)) 1))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* e (* v (+ 1 (* -1/6 (pow v 2)))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (/ (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))) e)))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (* e (cos v))))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (* e (- (/ 1 e) (* -1 (cos v))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ -1 (* e (cos v)))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) (pow e 2))) (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))) e)))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (* e (- (/ 1 e) (cos v)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (- (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (+ (* -1 (cos v)) (* -1 (/ (+ 1 (/ 1 (* e (cos v)))) e))))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (* e (- (+ (* -1 (cos v)) (* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) (pow e 2)))) (/ 1 e)))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 e)))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* -1 (* e (+ 1 (/ 1 e))))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* e (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1))))
#s(approx (/ (* e e) (- 1 e)) #s(hole binary64 (* e (- (* -1 (/ (+ 1 (/ 1 e)) (pow e 2))) (+ 1 (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow e 2) (- (* 2/3 (pow v 2)) 1))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* e (- (* 2/3 (pow v 2)) 1))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))))
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#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6))))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* -1 e)))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (+ (* -1 e) (* 2/3 (* e (pow v 2))))))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 -1))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 (- (* 2/3 (pow v 2)) 1)))
#s(approx (* (* v v) 2/3) #s(hole binary64 (* 2/3 (pow v 2))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (* v (- (/ 1 e) 1)))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* v (- (/ 1 e) 1))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (/ v e)))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 v))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow v 2)))))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) #s(hole binary64 (/ (* e (sin v)) (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) #s(hole binary64 (- (/ 1 (- 1 (* e (cos v)))) (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v)))))))
#s(approx (/ 1 (- 1 (* (cos v) e))) #s(hole binary64 (/ 1 (- 1 (* e (cos v))))))
#s(approx (- 1 (* (cos v) e)) #s(hole binary64 (- 1 (* e (cos v)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(hole binary64 (/ (* (pow e 2) (pow (cos v) 2)) (- 1 (* e (cos v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1/6 (* e (pow v 3)))))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))))
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* -1/6 (* e (pow v 2)))))
#s(approx (+ (* (* (* v v) e) -1/6) e) #s(hole binary64 (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* e (* (pow v 3) (- (* 2/3 e) 1/6)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (+ 1 (* -1 e))) (pow v 2))))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* e (* (pow v 2) (- (* 2/3 e) 1/6)))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) #s(hole binary64 (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (+ 1 (* -1 e))) (pow v 2))))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (* 2/3 e) 1/6))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ e (pow v 2))) (+ (* 2/3 e) (/ 1 (pow v 2)))) 1/6))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* 2/3 (* e (pow v 2)))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* 2/3 e)))))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 (* 2/3 (pow v 2))))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 (* (pow v 2) (- 2/3 (/ 1 (pow v 2))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (* (pow v 3) (- 2/3 (* 1/6 (/ 1 e)))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow v 3) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ (* (pow e 2) (- (/ 1 e) 1)) (pow v 2))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* (pow v 3) (- 2/3 (* 1/6 (/ 1 e))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* (pow v 3) (- (+ 2/3 (/ 1 (* e (pow v 2)))) (+ (* 1/6 (/ 1 e)) (/ 1 (pow v 2)))))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* -1/6 (/ (pow v 3) e))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* (pow v 3) (- (/ 1 (* e (pow v 2))) (* 1/6 (/ 1 e))))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* -1/6 (pow v 3))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 (* -1/6 (pow v 2))))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (+ 1 (* -1 e))) (pow v 2))))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* -1 (* (pow e 2) (* (pow v 3) (- (* 1/6 (/ 1 e)) 2/3))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* (pow e 2) (- (* 1/6 (/ 1 e)) 2/3)) (/ (* (pow e 2) (- 1 (/ 1 e))) (pow v 2)))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* -1 (* (pow v 3) (- (* 1/6 (/ 1 e)) 2/3)))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* 1/6 (/ 1 e)) (/ 1 (pow v 2))) (+ 2/3 (/ 1 (* e (pow v 2)))))))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* -1 (* (pow v 3) (- (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2))))))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
e
@0
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (* v v) e) (* v v) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (* (- (* (* v v) 2/3) 1) e) (- (* (* v v) 2/3) 1) (* (* v v) 2/3) 2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (/ (* (+ (* (* v v) -1/6) 1) v) e) (* (+ (* (* v v) -1/6) 1) v) (+ (* (* v v) -1/6) 1))
9.0ms
v
@-inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (* v v) e) (* v v) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (* (- (* (* v v) 2/3) 1) e) (- (* (* v v) 2/3) 1) (* (* v v) 2/3) 2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (/ (* (+ (* (* v v) -1/6) 1) v) e) (* (+ (* (* v v) -1/6) 1) v) (+ (* (* v v) -1/6) 1))
7.0ms
v
@inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (* v v) e) (* v v) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (* (- (* (* v v) 2/3) 1) e) (- (* (* v v) 2/3) 1) (* (* v v) 2/3) 2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (/ (* (+ (* (* v v) -1/6) 1) v) e) (* (+ (* (* v v) -1/6) 1) v) (+ (* (* v v) -1/6) 1))
7.0ms
e
@-inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (* v v) e) (* v v) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (* (- (* (* v v) 2/3) 1) e) (- (* (* v v) 2/3) 1) (* (* v v) 2/3) 2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (/ (* (+ (* (* v v) -1/6) 1) v) e) (* (+ (* (* v v) -1/6) 1) v) (+ (* (* v v) -1/6) 1))
6.0ms
e
@inf
((/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (* e (sin v)) e (sin v) v (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (/ 1 (- 1 (* (cos v) e))) 1 (- 1 (* (cos v) e)) (* (cos v) e) (cos v) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/ (* e e) (- 1 e)) (* e e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (* v v) e) (* v v) -1/6 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (* (- (* (* v v) 2/3) 1) e) (- (* (* v v) 2/3) 1) (* (* v v) 2/3) 2/3 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (/ (* (+ (* (* v v) -1/6) 1) v) e) (* (+ (* (* v v) -1/6) 1) v) (+ (* (* v v) -1/6) 1))

rewrite215.0ms (6.3%)

Memory
37.0MiB live, 219.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09769276
010218113
158158111
083137813
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
260 → 379
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))
#s(approx (/ (* e e) (- 1 e)) (*.f64 e e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
(*.f64 #s(approx (sin v) v) e)
#s(approx (sin v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e)
(*.f64 (*.f64 v v) e)
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v))
(*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)
(*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e)))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)) (*.f64 e e))))
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#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (* 2/3 e) 1/6))))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ e (pow v 2))) (+ (* 2/3 e) (/ 1 (pow v 2)))) 1/6))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* 2/3 (* e (pow v 2)))))
#s(approx (* (- (* (* v v) 2/3) 1) e) #s(hole binary64 (* (pow v 2) (+ (* -1 (/ e (pow v 2))) (* 2/3 e)))))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 (* 2/3 (pow v 2))))
#s(approx (- (* (* v v) 2/3) 1) #s(hole binary64 (* (pow v 2) (- 2/3 (/ 1 (pow v 2))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow e 2) (* (pow v 3) (- 2/3 (* 1/6 (/ 1 e)))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* (pow v 3) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ (* (pow e 2) (- (/ 1 e) 1)) (pow v 2))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* (pow v 3) (- 2/3 (* 1/6 (/ 1 e))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* (pow v 3) (- (+ 2/3 (/ 1 (* e (pow v 2)))) (+ (* 1/6 (/ 1 e)) (/ 1 (pow v 2)))))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* -1/6 (/ (pow v 3) e))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* (pow v 3) (- (/ 1 (* e (pow v 2))) (* 1/6 (/ 1 e))))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* -1/6 (pow v 3))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 (* -1/6 (pow v 2))))
#s(approx (+ (* (* v v) -1/6) 1) #s(hole binary64 (* (pow v 2) (- (/ 1 (pow v 2)) 1/6))))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) #s(hole binary64 (* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (+ 1 (* -1 e))) (pow v 2))))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* -1 (* (pow e 2) (* (pow v 3) (- (* 1/6 (/ 1 e)) 2/3))))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) #s(hole binary64 (* -1 (* (pow v 3) (+ (* (pow e 2) (- (* 1/6 (/ 1 e)) 2/3)) (/ (* (pow e 2) (- 1 (/ 1 e))) (pow v 2)))))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* -1 (* (pow v 3) (- (* 1/6 (/ 1 e)) 2/3)))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) #s(hole binary64 (* -1 (* (pow v 3) (- (+ (* 1/6 (/ 1 e)) (/ 1 (pow v 2))) (+ 2/3 (/ 1 (* e (pow v 2)))))))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) #s(hole binary64 (* -1 (* (pow v 3) (- (* 1/6 (/ 1 e)) (/ 1 (* e (pow v 2))))))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) #s(hole binary64 (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))))))
(/.f64 (*.f64 (sin.f64 v) e) (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))))
(-.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e))))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (cos.f64 v)) e)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v))))))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) e))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(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)))))
(sin.f64 (+.f64 (neg.f64 v) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 v (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))
#s(approx (/ (* e e) (- 1 e)) (*.f64 e e))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) e)
(*.f64 (neg.f64 e) (neg.f64 e))
(*.f64 (fabs.f64 e) (fabs.f64 e))
(*.f64 e e)
(pow.f64 (pow.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 e) #s(literal 2 binary64))
(pow.f64 (fabs.f64 e) #s(literal 2 binary64))
(pow.f64 (*.f64 e e) #s(literal 1 binary64))
(pow.f64 e #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 e) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 e) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 e) #s(literal 2 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
(*.f64 #s(approx (sin v) v) e)
(*.f64 e #s(approx (sin v) v))
#s(approx (sin v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)
(*.f64 v (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e))
(fma.f64 v e (*.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) v))
(fma.f64 v e (*.f64 v (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))))
(fma.f64 e v (*.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) v))
(fma.f64 e v (*.f64 v (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))))
(+.f64 (*.f64 v e) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) v))
(+.f64 (*.f64 v e) (*.f64 v (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 e e) (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 e (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 e e)) (-.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) e))
(/.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 e e (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 e (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal 3 binary64)) (pow.f64 e #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) e))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e)
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e)
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e)
(-.f64 e (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 v v) e)))
(+.f64 (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)) e)
(+.f64 e (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)))
(*.f64 (*.f64 v v) e)
(*.f64 v (*.f64 v e))
(*.f64 e (*.f64 v v))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (pow.f64 v #s(literal 1 binary64)) v)
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 (pow.f64 v #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) e) v)))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) e) v))
(*.f64 (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) e) v)
(*.f64 v (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) e))
(*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) v))
(*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) e)
(*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)
(*.f64 e (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)))))
(-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) (*.f64 v v))
(*.f64 v (*.f64 v #s(literal 2/3 binary64)))
#s(literal 2/3 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) (*.f64 e e)))))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) (*.f64 e e))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) (*.f64 e e)))
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) e) e)
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)) (*.f64 e e))
(*.f64 (*.f64 e e) (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e) v (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v)))
(fma.f64 (*.f64 (*.f64 e e) v) (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e) (*.f64 e e)))
(fma.f64 (*.f64 (*.f64 e e) v) (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e)))
(fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v) (*.f64 e e) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e) (*.f64 e e)))
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binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.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 e (/.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) 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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (sin v) v)
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx v v)
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (-.f64 (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal -2/45 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))))) (*.f64 v v) (*.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (/ 1 (- 1 (* (cos v) e))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) (*.f64 #s(literal 1/720 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 3 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/24 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (/.f64 e (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))))
#s(approx (- 1 (* (cos v) e)) (-.f64 #s(literal 1 binary64) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) e) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (- 1 (* (cos v) e)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 v v) (*.f64 #s(literal -1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) #s(literal 1 binary64)) e))
#s(approx (* (cos v) e) e)
#s(approx (* (cos v) e) (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* (cos v) e) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64) (fma.f64 (*.f64 e (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (neg.f64 (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) e))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 e #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (*.f64 e (/.f64 e (-.f64 #s(literal 1 binary64) 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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 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 #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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.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) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (* (sin v) e) (*.f64 v e))
#s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) 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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal 1/120 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 v e))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v))
#s(approx (+ (* (* (* v v) e) -1/6) e) e)
#s(approx (+ (* (* (* v v) e) -1/6) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e))
#s(approx (* v v) (*.f64 v v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v) e))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) (*.f64 v v) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)))) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
#s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) (*.f64 v v) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e)) (*.f64 v v) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e)) v))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v) e))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e) v))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))) e))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
#s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e))
#s(approx (* (- (* (* v v) 2/3) 1) e) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64) (neg.f64 e)))
#s(approx (- (* (* v v) 2/3) 1) #s(literal -1 binary64))
#s(approx (- (* (* v v) 2/3) 1) (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
#s(approx (* (* v v) 2/3) (*.f64 (*.f64 v v) #s(literal 2/3 binary64)))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) v) (-.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (*.f64 (*.f64 (*.f64 e e) (fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (*.f64 v v) (-.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) v))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (*.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) v))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (*.f64 (fma.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (*.f64 v v) (-.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) v))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) (/.f64 v e))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v) e))
#s(approx (* (+ (* (* v v) -1/6) 1) v) v)
#s(approx (* (+ (* (* v v) -1/6) 1) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
#s(approx (+ (* (* v v) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* v v) -1/6) 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 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (sin v) (sin.f64 v))
#s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ 1 (- 1 (* (cos v) e))) (pow.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- 1 (* (cos v) e)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
#s(approx (cos v) (cos.f64 v))
#s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 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 (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (fma.f64 #s(literal -1/6 binary64) e (/.f64 e (*.f64 v v))) (*.f64 v v)))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (*.f64 (*.f64 v v) e) (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))))
#s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v))) (*.f64 v v)))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))
#s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) e (pow.f64 v #s(literal -2 binary64)))) #s(literal 1/6 binary64)) (*.f64 v v)))
#s(approx (* (- (* (* v v) 2/3) 1) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal 2/3 binary64)))
#s(approx (* (- (* (* v v) 2/3) 1) e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e (/.f64 (neg.f64 e) (*.f64 v v))) (*.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 #s(literal 2/3 binary64) (pow.f64 v #s(literal -2 binary64))) (*.f64 v v)))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 e e)))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 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 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e e)) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (*.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (*.f64 (-.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 e #s(literal -1 binary64)) #s(literal 2/3 binary64)) (+.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 #s(literal 1/6 binary64) e))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) (*.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) e) #s(literal -1/6 binary64)))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 v v) e) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) e)) (pow.f64 v #s(literal 3 binary64))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) (*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* v v) -1/6) 1) v) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/6 binary64)) (pow.f64 v #s(literal 3 binary64))))
#s(approx (+ (* (* v v) -1/6) 1) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))
#s(approx (+ (* (* v v) -1/6) 1) (*.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 v v)))
#s(approx (* (+ (* (* (* v v) e) -1/6) e) v) (neg.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e (/.f64 (neg.f64 e) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) e (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) e) (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (pow.f64 v #s(literal 3 binary64))) (*.f64 e e))))
#s(approx (* (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (* e e)) (neg.f64 (*.f64 (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) (pow.f64 e #s(literal -1 binary64))) (*.f64 e e)) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 2/3 binary64)) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (* v v) 2/3) 1) v) (/ (* (+ (* (* v v) -1/6) 1) v) e)) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 #s(literal 1/6 binary64) e)) (fma.f64 (pow.f64 v #s(literal -2 binary64)) (pow.f64 e #s(literal -1 binary64)) #s(literal 2/3 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (/ (* (+ (* (* v v) -1/6) 1) v) e) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) (pow.f64 (*.f64 (*.f64 v v) e) #s(literal -1 binary64))) (pow.f64 v #s(literal 3 binary64)))))
#s(approx (* (+ (* (* v v) -1/6) 1) v) (neg.f64 (*.f64 (-.f64 #s(literal 1/6 binary64) (pow.f64 v #s(literal -2 binary64))) (pow.f64 v #s(literal 3 binary64)))))

eval60.0ms (1.8%)

Memory
3.8MiB live, 95.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 27 994 to 2 538 computations (90.9% saved)

prune56.0ms (1.7%)

Memory
-37.3MiB live, 64.6MiB allocated; 31ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New4696475
Fresh61218
Picked325
Done055
Total47825503
Accuracy
99.9%
Counts
503 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
✓99.6%
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
✓99.8%
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.3%
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
73.7%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
4.7%
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
71.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) (sin.f64 v))))) e))
45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e #s(approx (* (cos v) (sin v)) v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) (sin.f64 v))))) e))
✓98.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
46.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
✓47.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
✓48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (fma.f64 (neg.f64 e) v v))))
68.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
27.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 #s(approx (- (* (* v v) 2/3) 1) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))) e))) v)))
28.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e)) v))))
41.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 #s(approx (* (+ (* (* v v) -1/6) 1) v) v) e)) (*.f64 e e)))))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e) v)))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
✓4.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Compiler

Compiled 2 497 to 841 computations (66.3% saved)

regimes38.0ms (1.1%)

Memory
5.2MiB live, 51.2MiB allocated; 3ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) 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)))) #s(approx (* (sin v) e) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 #s(approx (- (* (* v v) 2/3) 1) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.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 (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 #s(approx (* (+ (* (* v v) -1/6) 1) v) v) e)) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.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)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) #s(approx (/ (* e e) (- 1 e)) (*.f64 e e)))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(approx (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e #s(approx (* (cos v) (sin v)) v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v)) (sin.f64 v))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))) (sin.f64 v))))) e))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
Calls

3 calls:

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

Compiled 13 to 13 computations (0% saved)

regimes29.0ms (0.8%)

Memory
-4.9MiB live, 41.6MiB allocated; 1ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) 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)))) #s(approx (* (sin v) e) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 #s(approx (- (* (* v v) 2/3) 1) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.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 (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 #s(approx (* (+ (* (* v v) -1/6) 1) v) v) e)) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.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)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
Outputs
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
9.0ms
v
8.0ms
e
Results
AccuracySegmentsBranch
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.3%1e
99.3%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.8%)

Memory
39.6MiB live, 39.6MiB allocated; 0ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) 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)))) #s(approx (* (sin v) e) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 #s(approx (- (* (* v v) 2/3) 1) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.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 (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 #s(approx (* (+ (* (* v v) -1/6) 1) v) v) e)) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.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)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (*.f64 (fma.f64 (neg.f64 e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) #s(approx (* (cos v) (sin v)) v) (sin.f64 v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

8.0ms
v
8.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.7%1e
98.7%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes26.0ms (0.8%)

Memory
-13.1MiB live, 36.9MiB allocated; 4ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) 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)))) #s(approx (* (sin v) e) (*.f64 #s(approx (+ (* (* (* v v) e) -1/6) e) (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 #s(approx (- (* (* v v) 2/3) 1) (*.f64 (*.f64 v v) #s(literal 2/3 binary64))) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 e (*.f64 #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.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 (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.f64 #s(approx (* (+ (* (* v v) -1/6) 1) v) v) e)) (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v)) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 #s(approx (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) e)) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) #s(approx (* (* e (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1))) v) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 2/3 binary64)) #s(literal 1 binary64)) v (/.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)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e))))) (tan.f64 v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

8.0ms
v
7.0ms
e
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.2%1e
48.2%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.3%)

Memory
-31.4MiB live, 15.5MiB allocated; 1ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #s(approx (* e (/ v (+ 1 e))) (+.f64 (/.f64 (neg.f64 v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) (fma.f64 (/.f64 v e) #s(literal -1 binary64) v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) v)) e))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
48.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.1%1v
48.1%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 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)))) #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)) (fma.f64 (neg.f64 e) v v))))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
48.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.1%1v
48.1%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) e) (*.f64 (*.f64 e #s(approx (+ (* (- (* 2/3 e) 1/6) (* v v)) (+ (* -1 e) 1)) #s(approx (* (- (* (* v v) 2/3) 1) e) (neg.f64 e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) #s(approx (+ (* (/ v e) -1) v) (/.f64 (neg.f64 v) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) v) e))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
47.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
47.6%1v
47.6%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
e
1.0ms
v
Results
AccuracySegmentsBranch
4.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.2%1v
4.2%1e
Compiler

Compiled 13 to 13 computations (0% saved)

simplify52.0ms (1.5%)

Memory
-14.9MiB live, 32.0MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053172
189170
2180170
3466170
41521164
55700164
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (- (/ 1 (- 1 (* (cos v) e))) (/ (pow (* (cos v) e) 2) (- 1 (* (cos v) e)))) (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (* -1 e) (* (cos v) (sin v))) (sin v)) (*.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)) 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 #s(approx (sin v) v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (/ v (+ 1 e))) v))

derivations185.0ms (5.4%)

Memory
3.0MiB live, 144.0MiB allocated; 8ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 173 to 55 computations (68.2% saved)

preprocess37.0ms (1.1%)

Memory
11.9MiB live, 58.2MiB allocated; 3ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 388 to 144 computations (62.9% saved)

end0.0ms (0%)

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

Profiling

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