Trigonometry A

Time bar (total: 5.6s)

start0.0ms (0%)

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

analyze7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB 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 (20.7%)

Memory
24.7MiB live, 1 130.1MiB allocated; 310ms collecting garbage
Samples
868.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 658.0ms
ival-sin: 197.0ms (30% of total)
ival-cos: 181.0ms (27.5% of total)
ival-mult: 124.0ms (18.9% of total)
ival-div: 105.0ms (16% of total)
ival-add: 38.0ms (5.8% of total)
exact: 8.0ms (1.2% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 2.0ms (0.3% of total)
Bogosity

explain120.0ms (2.1%)

Memory
5.3MiB live, 153.0MiB allocated; 17ms 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
52.0ms512×0valid
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 (31% of total)
ival-cos: 11.0ms (31% of total)
ival-mult: 7.0ms (19.7% 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)

preprocess201.0ms (3.6%)

Memory
-1.8MiB live, 186.4MiB allocated; 14ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

series14.0ms (0.3%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
9 → 46
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx e #s(hole binary64 e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx v #s(hole binary64 v))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))))
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

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

rewrite197.0ms (3.5%)

Memory
-4.4MiB live, 229.2MiB allocated; 21ms 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 (fma.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (neg.f64 (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e) (pow.f64 (*.f64 e (pow.f64 e #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (cos.f64 v) e)) (neg.f64 (*.f64 (cos.f64 v) e)) (-.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 (*.f64 #s(literal -1 binary64) (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 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 e e) e))) #s(literal -1 binary64) (tan.f64 v)) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 e e) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (/.f64 (sin.f64 v) e))) (*.f64 (*.f64 (*.f64 e e) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (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 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 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)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) e) #s(literal -1 binary64) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (cos.f64 v)) (*.f64 e (neg.f64 (sin.f64 v)))) (*.f64 e (*.f64 #s(literal -1 binary64) (cos.f64 v)))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (*.f64 #s(literal -1 binary64) e) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (pow.f64 e #s(literal -1 binary64)))))
#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)))) (fma.f64 (*.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)) v (*.f64 (/.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) (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)) (+ 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) (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 #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) (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 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v))))
#s(approx (* 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))

eval13.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 170 to 416 computations (80.8% saved)

prune42.0ms (0.7%)

Memory
-15.1MiB live, 44.3MiB allocated; 21ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New90292
Fresh000
Picked101
Done000
Total91293
Accuracy
99.8%
Counts
93 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
▶99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
Compiler

Compiled 64 to 38 computations (40.6% saved)

series38.0ms (0.7%)

Memory
10.2MiB live, 57.6MiB allocated; 2ms collecting garbage
Counts
26 → 151
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e)
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))
(*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))
(pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
v
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(sin.f64 v)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (cos.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
(*.f64 e (sin.f64 v))
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64))))
(*.f64 e (pow.f64 e #s(literal -1 binary64)))
(pow.f64 e #s(literal -1 binary64))
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 (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (sin v))))
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#s(approx (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (* -1 (* e v))))
#s(approx (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (* v (+ (* -1 e) (* 5/3 (* e (pow v 2)))))))
#s(approx (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (* v (+ (* -1 e) (* (pow v 2) (+ (* -17/15 (* e (pow v 2))) (* 5/3 e)))))))
#s(approx (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (* v (+ (* -1 e) (* (pow v 2) (+ (* 5/3 e) (* (pow v 2) (+ (* -17/15 e) (* 26/63 (* e (pow v 2)))))))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 v))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* -5/3 (pow v 2))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 17/15 (pow v 2)) 5/3))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 17/15 (* -26/63 (pow v 2)))) 5/3))))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 1))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 7/8 (pow v 2)) 3/2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 7/8 (* -61/240 (pow v 2)))) 3/2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 1))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#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 v #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* 7/6 (pow v 2)) 1))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 7/6 (* -61/120 (pow v 2)))) 1))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 7/6 (* (pow v 2) (- (* 547/5040 (pow v 2)) 61/120)))) 1))))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 -1))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (* (pow v 2) (+ 1 (* -1/3 (pow v 2)))) 1)))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (* (pow v 2) (+ 1 (* (pow v 2) (- (* 2/45 (pow v 2)) 1/3)))) 1)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* 2/3 (pow v 2)) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* (pow v 2) (- (* 4/315 (pow v 2)) 2/15)))) 1))))
#s(approx (* -1 (cos v)) #s(hole binary64 -1))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* 1/2 (pow v 2)) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* 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 (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) #s(hole binary64 (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))))
#s(approx (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* (pow (cos v) 3) (sin v))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (pow (cos v) 3)))
#s(approx (pow (cos v) 2) #s(hole binary64 (pow (cos v) 2)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* -1 (* (pow (cos v) 2) (sin v)))))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (* -1 (pow (cos v) 2))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 (* (cos v) (sin v)))))
#s(approx (* -1 (cos v)) #s(hole binary64 (* -1 (cos v))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) v 2 3/2 (sin v) (* (* -1 (pow (cos v) 2)) (sin v)) (* -1 (pow (cos v) 2)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1))) (* e (pow e -1)) (pow e -1))
6.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) v 2 3/2 (sin v) (* (* -1 (pow (cos v) 2)) (sin v)) (* -1 (pow (cos v) 2)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1))) (* e (pow e -1)) (pow e -1))
6.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) v 2 3/2 (sin v) (* (* -1 (pow (cos v) 2)) (sin v)) (* -1 (pow (cos v) 2)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1))) (* e (pow e -1)) (pow e -1))
5.0ms
e
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) v 2 3/2 (sin v) (* (* -1 (pow (cos v) 2)) (sin v)) (* -1 (pow (cos v) 2)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1))) (* e (pow e -1)) (pow e -1))
4.0ms
e
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) v 2 3/2 (sin v) (* (* -1 (pow (cos v) 2)) (sin v)) (* -1 (pow (cos v) 2)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1))) (* e (pow e -1)) (pow e -1))

rewrite201.0ms (3.6%)

Memory
-11.5MiB live, 221.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07136247
07615607
144325513
084495288
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
177 → 338
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e)
(fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))
(*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))
(pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
v
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(sin.f64 v)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (cos.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
(*.f64 e (sin.f64 v))
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64))))
(*.f64 e (pow.f64 e #s(literal -1 binary64)))
(pow.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) #s(hole binary64 (sin v)))
#s(approx (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
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#s(approx (pow (cos v) 2) #s(hole binary64 1))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#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 v #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* 7/6 (pow v 2)) 1))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 7/6 (* -61/120 (pow v 2)))) 1))))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 7/6 (* (pow v 2) (- (* 547/5040 (pow v 2)) 61/120)))) 1))))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 -1))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (pow v 2) 1)))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (* (pow v 2) (+ 1 (* -1/3 (pow v 2)))) 1)))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (- (* (pow v 2) (+ 1 (* (pow v 2) (- (* 2/45 (pow v 2)) 1/3)))) 1)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* 2/3 (pow v 2)) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* (pow v 2) (- (* 4/315 (pow v 2)) 2/15)))) 1))))
#s(approx (* -1 (cos v)) #s(hole binary64 -1))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* 1/2 (pow v 2)) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* 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 (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) #s(hole binary64 (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))))
#s(approx (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* (pow (cos v) 3) (sin v))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (pow (cos v) 3)))
#s(approx (pow (cos v) 2) #s(hole binary64 (pow (cos v) 2)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) #s(hole binary64 (* -1 (* (pow (cos v) 2) (sin v)))))
#s(approx (* -1 (pow (cos v) 2)) #s(hole binary64 (* -1 (pow (cos v) 2))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 (* (cos v) (sin v)))))
#s(approx (* -1 (cos v)) #s(hole binary64 (* -1 (cos v))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
Outputs
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e)
(*.f64 e (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)))
(fma.f64 (sin.f64 v) e (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) e))
(fma.f64 (sin.f64 v) e (*.f64 e (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(fma.f64 e (sin.f64 v) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) e))
(fma.f64 e (sin.f64 v) (*.f64 e (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(+.f64 (*.f64 (sin.f64 v) e) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) e))
(+.f64 (*.f64 (sin.f64 v) e) (*.f64 e (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (sin.f64 v)))
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) #s(literal 3 binary64)) (*.f64 (*.f64 e e) e) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)) (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)) (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (sin.f64 v)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (sin.f64 v) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) #s(literal 3 binary64)) (*.f64 (*.f64 e e) e))) (fma.f64 (fabs.f64 (sin.f64 v)) (fabs.f64 (sin.f64 v)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)) (*.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v))
(fma.f64 e (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (sin.f64 v))
(-.f64 (sin.f64 v) (*.f64 (*.f64 #s(literal -1 binary64) e) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (sin.f64 v))
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#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (fma.f64 (*.f64 (-.f64 (*.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)) v (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (*.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 (-.f64 (*.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 #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)) (+ (* (cos v) e) (* e (pow e -1)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (*.f64 e (/.f64 (-.f64 (*.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 #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 (-.f64 (*.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 #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 (-.f64 (*.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 #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)) (*.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 (+ (* (cos v) e) (* e (pow e -1))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) (* e (pow e -1))) (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
#s(approx (* (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) e) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (+ (* (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (sin v)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)))
#s(approx (+ (* (- (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (* -1 (pow (cos v) 2)) (sin v))) e) (* (* -1 (cos v)) (sin v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)))
#s(approx (pow (pow (cos v) 2) 3/2) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
#s(approx (pow (cos v) 2) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
#s(approx (cos v) (cos.f64 v))
#s(approx (sin v) (sin.f64 v))
#s(approx (* (* -1 (pow (cos v) 2)) (sin v)) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal -1 binary64)) (sin.f64 v)))
#s(approx (* -1 (pow (cos v) 2)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (* (* -1 (cos v)) (sin v)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
#s(approx (* -1 (cos v)) (*.f64 #s(literal -1 binary64) (cos.f64 v)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow e -1)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))

eval78.0ms (1.4%)

Memory
14.0MiB live, 112.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 23 901 to 2 681 computations (88.8% saved)

prune308.0ms (5.5%)

Memory
-6.2MiB live, 377.3MiB allocated; 26ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4472449
Fresh000
Picked022
Done000
Total4474451
Accuracy
99.9%
Counts
451 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
✓99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
▶95.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
Compiler

Compiled 197 to 81 computations (58.9% saved)

series68.0ms (1.2%)

Memory
-13.9MiB live, 79.9MiB allocated; 5ms collecting garbage
Counts
31 → 208
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)
(/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(pow.f64 (sin.f64 v) #s(literal 2 binary64))
(sin.f64 v)
v
#s(literal 2 binary64)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
(fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))
(*.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))
(pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
#s(literal 3/2 binary64)
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))
(*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (cos.f64 v))
(-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 e (sin.f64 v))
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 e #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
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 (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
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#s(approx (pow (sin v) 2) #s(hole binary64 (* (pow v 2) (+ 1 (* (pow v 2) (- (* 2/45 (pow v 2)) 1/3))))))
#s(approx (pow (sin v) 2) #s(hole binary64 (* (pow v 2) (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/45 (* -1/315 (pow v 2)))) 1/3))))))
#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) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow e 2) (* (pow v 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* 2 (* (pow e 2) (* (pow v 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1))))) (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2))))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)) (* (pow v 2) (+ (* 2 (* (pow e 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1)))) (* (pow e 2) (* (pow v 2) (+ (* 2 (* (- (* e (+ 61/120 (* -17/15 e))) 2/15) (- (* e (+ 1 (* -1 e))) 1))) (pow (+ 2/3 (* e (- (* 5/3 e) 7/6))) 2))))))))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)) (* (pow v 2) (+ (* 2 (* (pow e 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (+ (* 2 (* (+ 4/315 (* e (- (* 26/63 e) 547/5040))) (- (* e (+ 1 (* -1 e))) 1))) (* 2 (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 61/120 (* -17/15 e))) 2/15)))))) (* (pow e 2) (+ (* 2 (* (- (* e (+ 61/120 (* -17/15 e))) 2/15) (- (* e (+ 1 (* -1 e))) 1))) (pow (+ 2/3 (* e (- (* 5/3 e) 7/6))) 2)))))))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* e (* v (- (* e (+ 1 (* -1 e))) 1)))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ 2/3 (* e (- (* 5/3 e) 7/6))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (- (* e (+ 1 (* -1 e))) 1)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* e (+ 61/120 (* -17/15 e))) 2/15))) (* e (+ 2/3 (* e (- (* 5/3 e) 7/6))))))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (- (* e (+ 1 (* -1 e))) 1)) (* (pow v 2) (+ (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 4/315 (* e (- (* 26/63 e) 547/5040))))) (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15))))))))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (* e (+ 1 (* -1 e))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (* e (- (* 5/3 e) 7/6))))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (+ (* e (- (* 5/3 e) 7/6)) (* (pow v 2) (- (* e (+ 61/120 (* -17/15 e))) 2/15)))))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (+ (* e (- (* 5/3 e) 7/6)) (* (pow v 2) (- (+ (* e (+ 61/120 (* -17/15 e))) (* (pow v 2) (+ 4/315 (* e (- (* 26/63 e) 547/5040))))) 2/15)))))) 1))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 5/3 e) 7/6)))))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 5/3 e) (* (pow v 2) (+ 61/120 (* -17/15 e)))) 7/6)))))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 5/3 e) (* (pow v 2) (+ 61/120 (+ (* -17/15 e) (* (pow v 2) (- (* 26/63 e) 547/5040)))))) 7/6)))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 v))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* -5/3 (pow v 2))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 17/15 (pow v 2)) 5/3))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 17/15 (* -26/63 (pow v 2)))) 5/3))))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 1))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 7/8 (pow v 2)) 3/2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 7/8 (* -61/240 (pow v 2)))) 3/2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 1))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#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 (* (pow (cos v) 2) (sin v)) #s(hole binary64 v))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* -7/6 (pow v 2))))))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6))))))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 61/120 (* -547/5040 (pow v 2)))) 7/6))))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* 2/3 (pow v 2)) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* (pow v 2) (- (* 4/315 (pow v 2)) 2/15)))) 1))))
#s(approx (* -1 (cos v)) #s(hole binary64 -1))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* 1/2 (pow v 2)) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15)))) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* e (+ 4/315 (* e (- (* 26/63 e) 547/5040)))))))) (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15)))) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #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 (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #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 (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (/ (* e (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))))
#s(approx (pow (sin v) 2) #s(hole binary64 (pow (sin v) 2)))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* (pow (cos v) 3) (sin v))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (pow (cos v) 3)))
#s(approx (pow (cos v) 2) #s(hole binary64 (pow (cos v) 2)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* (pow (cos v) 2) (sin v))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 (* (cos v) (sin v)))))
#s(approx (* -1 (cos v)) #s(hole binary64 (* -1 (cos v))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v)))))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
e
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow (sin v) 2) (sin v) v 2 (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) 3/2 (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (* e (pow (pow e -1/2) 2)) (pow (pow e -1/2) 2) (pow e -1/2) -1/2)
10.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow (sin v) 2) (sin v) v 2 (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) 3/2 (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (* e (pow (pow e -1/2) 2)) (pow (pow e -1/2) 2) (pow e -1/2) -1/2)
10.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow (sin v) 2) (sin v) v 2 (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) 3/2 (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (* e (pow (pow e -1/2) 2)) (pow (pow e -1/2) 2) (pow e -1/2) -1/2)
8.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow (sin v) 2) (sin v) v 2 (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) 3/2 (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (* e (pow (pow e -1/2) 2)) (pow (pow e -1/2) 2) (pow e -1/2) -1/2)
8.0ms
e
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow (sin v) 2) (sin v) v 2 (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) -1 e (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) (pow (cos v) 2) (cos v) 3/2 (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (* e (pow (pow e -1/2) 2)) (pow (pow e -1/2) 2) (pow e -1/2) -1/2)

rewrite274.0ms (4.9%)

Memory
16.2MiB live, 247.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116517146
0122613663
1737613663
0881913274
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
239 → 373
Calls
Call 1
Inputs
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(-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
(pow.f64 (sin.f64 v) #s(literal 2 binary64))
(sin.f64 v)
v
#s(literal 2 binary64)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)
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(*.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))
(pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
(cos.f64 v)
#s(literal 3/2 binary64)
(*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))
(*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))
(*.f64 #s(literal -1 binary64) (cos.f64 v))
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(*.f64 e (sin.f64 v))
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 e #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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))))))))
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#s(approx (pow (sin v) 2) #s(hole binary64 (pow v 2)))
#s(approx (pow (sin v) 2) #s(hole binary64 (* (pow v 2) (+ 1 (* -1/3 (pow v 2))))))
#s(approx (pow (sin v) 2) #s(hole binary64 (* (pow v 2) (+ 1 (* (pow v 2) (- (* 2/45 (pow v 2)) 1/3))))))
#s(approx (pow (sin v) 2) #s(hole binary64 (* (pow v 2) (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/45 (* -1/315 (pow v 2)))) 1/3))))))
#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) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow e 2) (* (pow v 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* 2 (* (pow e 2) (* (pow v 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1))))) (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2))))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)) (* (pow v 2) (+ (* 2 (* (pow e 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1)))) (* (pow e 2) (* (pow v 2) (+ (* 2 (* (- (* e (+ 61/120 (* -17/15 e))) 2/15) (- (* e (+ 1 (* -1 e))) 1))) (pow (+ 2/3 (* e (- (* 5/3 e) 7/6))) 2))))))))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow v 2) (+ (* (pow e 2) (pow (- (* e (+ 1 (* -1 e))) 1) 2)) (* (pow v 2) (+ (* 2 (* (pow e 2) (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 1 (* -1 e))) 1)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (+ (* 2 (* (+ 4/315 (* e (- (* 26/63 e) 547/5040))) (- (* e (+ 1 (* -1 e))) 1))) (* 2 (* (+ 2/3 (* e (- (* 5/3 e) 7/6))) (- (* e (+ 61/120 (* -17/15 e))) 2/15)))))) (* (pow e 2) (+ (* 2 (* (- (* e (+ 61/120 (* -17/15 e))) 2/15) (- (* e (+ 1 (* -1 e))) 1))) (pow (+ 2/3 (* e (- (* 5/3 e) 7/6))) 2)))))))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* e (* v (- (* e (+ 1 (* -1 e))) 1)))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ 2/3 (* e (- (* 5/3 e) 7/6))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (- (* e (+ 1 (* -1 e))) 1)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* e (+ 61/120 (* -17/15 e))) 2/15))) (* e (+ 2/3 (* e (- (* 5/3 e) 7/6))))))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) #s(hole binary64 (* v (+ (* e (- (* e (+ 1 (* -1 e))) 1)) (* (pow v 2) (+ (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 4/315 (* e (- (* 26/63 e) 547/5040))))) (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15))))))))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (* e (+ 1 (* -1 e))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (* e (- (* 5/3 e) 7/6))))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (+ (* e (- (* 5/3 e) 7/6)) (* (pow v 2) (- (* e (+ 61/120 (* -17/15 e))) 2/15)))))) 1))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) #s(hole binary64 (* v (- (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ 2/3 (+ (* e (- (* 5/3 e) 7/6)) (* (pow v 2) (- (+ (* e (+ 61/120 (* -17/15 e))) (* (pow v 2) (+ 4/315 (* e (- (* 26/63 e) 547/5040))))) 2/15)))))) 1))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 5/3 e) 7/6)))))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 5/3 e) (* (pow v 2) (+ 61/120 (* -17/15 e)))) 7/6)))))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 5/3 e) (* (pow v 2) (+ 61/120 (+ (* -17/15 e) (* (pow v 2) (- (* 26/63 e) 547/5040)))))) 7/6)))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 v))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* -5/3 (pow v 2))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 17/15 (pow v 2)) 5/3))))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 17/15 (* -26/63 (pow v 2)))) 5/3))))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 1))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* -3/2 (pow v 2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 7/8 (pow v 2)) 3/2)))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 7/8 (* -61/240 (pow v 2)))) 3/2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 1))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* -1 (pow v 2)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))))
#s(approx (pow (cos v) 2) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))))
#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 (* (pow (cos v) 2) (sin v)) #s(hole binary64 v))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* -7/6 (pow v 2))))))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 61/120 (pow v 2)) 7/6))))))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 61/120 (* -547/5040 (pow v 2)))) 7/6))))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 v)))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* 2/3 (pow v 2)) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* v (- (* (pow v 2) (+ 2/3 (* (pow v 2) (- (* 4/315 (pow v 2)) 2/15)))) 1))))
#s(approx (* -1 (cos v)) #s(hole binary64 -1))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* 1/2 (pow v 2)) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) 1)))
#s(approx (* -1 (cos v)) #s(hole binary64 (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) 1)))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- 1/120 (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15)))) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* v (- (+ 1 (* (pow v 2) (- (* (pow v 2) (- (+ 1/120 (* -1 (* (pow v 2) (+ 1/5040 (* e (+ 4/315 (* e (- (* 26/63 e) 547/5040)))))))) (* e (- (* e (+ 61/120 (* -17/15 e))) 2/15)))) (+ 1/6 (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))))))) (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #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 (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #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 (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (/ (* e (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))))
#s(approx (pow (sin v) 2) #s(hole binary64 (pow (sin v) 2)))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* (pow (cos v) 3) (sin v))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (pow (cos v) 3)))
#s(approx (pow (cos v) 2) #s(hole binary64 (pow (cos v) 2)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* (pow (cos v) 2) (sin v))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 (* (cos v) (sin v)))))
#s(approx (* -1 (cos v)) #s(hole binary64 (* -1 (cos v))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v)))))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
Outputs
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#s(literal -1/2 binary64)
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#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 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (*.f64 (sin.f64 v) e))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64)) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v)) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (sin.f64 v))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64)) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64)) (cos.f64 v)) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)) #s(literal 1 binary64))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 e e)) (*.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 e e) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (*.f64 e e) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (*.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (*.f64 e e)))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 e e)))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e (*.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 e e)))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) e) (*.f64 (pow.f64 (cos.f64 v) #s(literal 5 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) e (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e (*.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 e e)))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (cos.f64 v) (sin.f64 v))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v))) e))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v))))
#s(approx (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))
#s(approx (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))
#s(approx (* -1 e) (*.f64 #s(literal -1 binary64) e))
#s(approx e e)
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#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (fma.f64 (*.f64 (cos.f64 v) (sin.f64 v)) e (sin.f64 v)))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (fma.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v)))) e (sin.f64 v)))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) e) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (sin.f64 v)))) e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.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)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (* e (pow (pow e -1/2) 2)) #s(literal 1 binary64))
#s(approx (pow (pow e -1/2) 2) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (pow e -1/2) (pow.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (tan.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (sin.f64 v) e) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (tan.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (tan.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
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#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (tan.f64 v))
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#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (*.f64 (cos.f64 v) e))
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#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) e) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) e) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) e)))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 5 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (pow.f64 e #s(literal 6 binary64))))
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#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) e)) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))) e) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 5 binary64))) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))) (pow.f64 e #s(literal 6 binary64))))
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#s(approx (pow (sin v) 2) (*.f64 v v))
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#s(approx (sin v) v)
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#s(approx v v)
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#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.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 (-.f64 (*.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 #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)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (*.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 (-.f64 (*.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 #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 (-.f64 (*.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 #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 (-.f64 (*.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 #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)) (*.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 (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (+.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) (* e (pow (pow e -1/2) 2))) (+.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v))))
#s(approx (/ (* 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 (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (*.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (/.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))))
#s(approx (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))))
#s(approx (pow (sin v) 2) (pow.f64 (sin.f64 v) #s(literal 2 binary64)))
#s(approx (sin v) (sin.f64 v))
#s(approx (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))) e))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)))
#s(approx (pow (pow (cos v) 2) 3/2) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
#s(approx (pow (cos v) 2) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
#s(approx (cos v) (cos.f64 v))
#s(approx (* (pow (cos v) 2) (sin v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))
#s(approx (* (* -1 (cos v)) (sin v)) (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))
#s(approx (* -1 (cos v)) (*.f64 #s(literal -1 binary64) (cos.f64 v)))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e)))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (pow e -1/2) 2)))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))

eval191.0ms (3.4%)

Memory
-5.9MiB live, 281.9MiB allocated; 29ms collecting garbage
Compiler

Compiled 118 710 to 5 384 computations (95.5% saved)

prune797.0ms (14.2%)

Memory
16.6MiB live, 1 033.8MiB allocated; 107ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9724976
Fresh000
Picked112
Done022
Total9737980
Accuracy
100.0%
Counts
980 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
▶98.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
▶87.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) e) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))))
✓99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
▶76.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
▶35.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Compiler

Compiled 526 to 190 computations (63.9% saved)

series206.0ms (3.7%)

Memory
-25.1MiB live, 256.7MiB allocated; 25ms collecting garbage
Counts
65 → 451
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
(*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)
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(-.f64 v v)
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(*.f64 #s(literal -1 binary64) e)
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(pow.f64 (sin.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
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(*.f64 e (sin.f64 v))
(fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(*.f64 e (pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)))
(pow.f64 e #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
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 (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* (pow (cos v) 2) (sin v))) (* -2 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (+ (* -1 (* e (* (cos v) (- (* -1 (* (pow (cos v) 2) (sin v))) (* -2 (* (pow (cos v) 2) (sin v))))))) (* -1 (* (pow (cos v) 2) (sin v)))) (* -2 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (sin v)))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (sin v) (* e (- (* e (- (* -1 (* (pow (cos v) 2) (sin v))) (* -2 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (sin v) (* e (- (* e (- (+ (* -1 (* e (* (cos v) (- (* -1 (* (pow (cos v) 2) (sin v))) (* -2 (* (pow (cos v) 2) (sin v))))))) (* -1 (* (pow (cos v) 2) (sin v)))) (* -2 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))))
#s(approx (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) #s(hole binary64 (sin v)))
#s(approx (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) #s(hole binary64 (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v))))))))))
#s(approx (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) #s(hole binary64 (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v)))))))))))
#s(approx (* -1 (* (* e e) e)) #s(hole binary64 (* -1 (pow e 3))))
#s(approx (* (* e e) e) #s(hole binary64 (pow e 3)))
#s(approx (* e e) #s(hole binary64 (pow e 2)))
#s(approx e #s(hole binary64 e))
#s(approx (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (* -1 (/ (sin v) (pow e 3)))))
#s(approx (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (/ (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) (pow e 3))))
#s(approx (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (/ (+ (* -1 (sin v)) (* e (+ (* -1 (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v)))))) (* (cos v) (sin v))))) (pow e 3))))
#s(approx (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (/ (+ (* -1 (sin v)) (* e (+ (* e (+ (* -1 (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v))))) (* e (* (pow (cos v) 3) (sin v))))) (* (cos v) (sin v))))) (pow e 3))))
#s(approx (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) #s(hole binary64 (/ (sin v) (pow e 3))))
#s(approx (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) #s(hole binary64 (/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) (pow e 3))))
#s(approx (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) #s(hole binary64 (/ (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v)))))))) (pow e 3))))
#s(approx (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) #s(hole binary64 (/ (sin v) (pow e 2))))
#s(approx (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) #s(hole binary64 (/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) (pow e 2))))
#s(approx (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) #s(hole binary64 (/ (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v)))))))) (pow e 2))))
#s(approx (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) #s(hole binary64 (* -1 (/ (sin v) (pow e 2)))))
#s(approx (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) #s(hole binary64 (/ (+ (* -1 (sin v)) (* e (* (cos v) (sin v)))) (pow e 2))))
#s(approx (/ (* (/ (sin v) e) -1) e) #s(hole binary64 (* -1 (/ (sin v) (pow e 2)))))
#s(approx (* (/ (sin v) e) -1) #s(hole binary64 (* -1 (/ (sin v) e))))
#s(approx (/ (sin v) e) #s(hole binary64 (/ (sin v) e)))
#s(approx (* (cos v) (/ (sin v) e)) #s(hole binary64 (/ (* (cos v) (sin v)) e)))
#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* 1/2 (/ (* e (- 1 (cos (* 2 v)))) (sin v)))))
#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (* -1/2 (/ (* e (* (cos v) (- 1 (cos (* 2 v))))) (sin v))) (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v)))))))
#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v))) (* e (- (* e (- (* -1 (* (pow (cos v) 2) (sin v))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (* 1/2 (/ (* (cos v) (- 1 (cos (* 2 v)))) (sin v)))))))))
#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (* e (+ (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v))) (* e (- (* e (- (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (- (* 2 (* (pow (cos v) 3) (sin v))) (+ (* (cos v) (- (* -1 (* (pow (cos v) 2) (sin v))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (/ (* (pow (cos v) 3) (- 1 (cos (* 2 v)))) (sin v)))))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (* 1/2 (/ (* (cos v) (- 1 (cos (* 2 v)))) (sin v)))))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v)))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (* -1/2 (/ (* e (* (cos v) (- 1 (cos (* 2 v))))) (sin v))) (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v))) (* e (- (* e (- (* -1 (* (pow (cos v) 2) (sin v))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (* 1/2 (/ (* (cos v) (- 1 (cos (* 2 v)))) (sin v))))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (* 1/2 (/ (- 1 (cos (* 2 v))) (sin v))) (* e (- (* e (- (+ (* -1 (* (pow (cos v) 2) (sin v))) (* e (- (* 2 (* (pow (cos v) 3) (sin v))) (+ (* (cos v) (- (* -1 (* (pow (cos v) 2) (sin v))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (/ (* (pow (cos v) 3) (- 1 (cos (* 2 v)))) (sin v)))))) (* -1 (/ (* (pow (cos v) 2) (- 1 (cos (* 2 v)))) (sin v))))) (* 1/2 (/ (* (cos v) (- 1 (cos (* 2 v)))) (sin v))))))))
#s(approx (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (* 1/2 (- 1 (cos (* 2 v))))))
#s(approx (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (+ (* -1 (* (pow e 2) (* (pow (cos v) 2) (pow (sin v) 2)))) (* 1/2 (- 1 (cos (* 2 v)))))))
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#s(approx (pow (sin v) 1) #s(hole binary64 (sin v)))
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#s(approx (- (cos (- v v)) (cos (+ v v))) #s(hole binary64 (- 1 (cos (neg (* -2 v))))))
#s(approx (cos (+ v v)) #s(hole binary64 (cos (neg (* -2 v)))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
e
@0
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(cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) (* -1 (* (* e e) e)) -1 (* (* e e) e) (* e e) e (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) (/ (* (/ (sin v) e) -1) e) (* (/ (sin v) e) -1) (/ (sin v) e) (sin v) v (* (cos v) (/ (sin v) e)) (cos v) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v))) (* 2 (pow (cos v) 2)) 2 (pow (cos v) 2) (* (neg (pow (cos v) 2)) (sin v)) (neg (pow (cos v) 2)) (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) 3/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (/ (- (cos (- v v)) (cos (+ v v))) 2) 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-1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) (pow (sin v) 1) 1 (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))))) (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)) (pow (* (pow e -1/4) (pow e -1/4)) 2) (* (pow e -1/4) (pow e -1/4)) (pow e -1/4) -1/4)
41.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) (* -1 (* (* e e) e)) -1 (* (* e e) e) (* e e) e (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) (/ (* (/ (sin v) e) -1) e) (* (/ (sin v) e) -1) (/ (sin v) e) (sin v) v (* (cos v) (/ (sin v) e)) (cos v) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v))) (* 2 (pow (cos v) 2)) 2 (pow (cos v) 2) (* (neg (pow (cos v) 2)) (sin v)) (neg (pow (cos v) 2)) (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) 3/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (/ (- (cos (- v v)) (cos (+ v v))) 2) 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24.0ms
e
@-inf
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(cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) (* -1 (* (* e e) e)) -1 (* (* e e) e) (* e e) e (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) (/ (* (/ (sin v) e) -1) e) (* (/ (sin v) e) -1) (/ (sin v) e) (sin v) v (* (cos v) (/ (sin v) e)) (cos v) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v))) (* 2 (pow (cos v) 2)) 2 (pow (cos v) 2) (* (neg (pow (cos v) 2)) (sin v)) (neg (pow (cos v) 2)) (* (pow (pow (cos v) 2) 3/2) (sin v)) (pow (pow (cos v) 2) 3/2) 3/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (/ (- (cos (- v v)) (cos (+ v v))) 2) (- (cos (- v v)) (cos (+ v v))) (cos (- v v)) (- v v) (cos (+ v v)) (+ v v) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) (* (pow (cos v) 2) (sin v)) (* (* -1 (cos v)) (sin v)) (* -1 (cos v)) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) (pow (sin v) 1) 1 (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))))) (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))) (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)))) (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)) (pow (* (pow e -1/4) (pow e -1/4)) 2) (* (pow e -1/4) (pow e -1/4)) (pow e -1/4) -1/4)
19.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow 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v)) (pow (pow (cos v) 2) 3/2) 3/2 (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (/ (- (cos (- v v)) (cos (+ v v))) 2) 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17.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow 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(* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (/ (- (cos (- v v)) (cos (+ v v))) 2) (- (cos (- v v)) (cos (+ v v))) (cos (- v v)) (- v v) (cos (+ v v)) (+ v v) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) (* -1 e) (* (pow (cos v) 2) (sin v)) (* (* 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e -1/4)) 2)) (pow (* (pow e -1/4) (pow e -1/4)) 2) (* (pow e -1/4) (pow e -1/4)) (pow e -1/4) -1/4)

rewrite323.0ms (5.8%)

Memory
20.0MiB live, 399.0MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210444992
0224437588
0830836949
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
516 → 608
Calls
Call 1
Inputs
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(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e))
#s(literal -1 binary64)
(*.f64 (*.f64 e e) e)
(*.f64 e e)
e
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(+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e)
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(/.f64 (sin.f64 v) e)
(sin.f64 v)
v
(*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(cos.f64 v)
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(*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 (cos.f64 v) #s(literal 2 binary64))
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(pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
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(/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64))
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(*.f64 #s(literal -1 binary64) e)
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#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)))) #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 (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2))) #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 (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (/ (* e (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (- (pow (sin v) 2) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (* (* -1 (* (* e e) e)) (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v)))) #s(hole binary64 (* -1 (* (pow e 3) (+ (* -1 (/ (+ (* -1 (* (pow (cos v) 2) (sin v))) (+ (* -1 (+ (* -1 (/ (sin v) (pow e 2))) (/ (* (cos v) (sin v)) e))) (* 2 (* (pow (cos v) 2) (sin v))))) e)) (* (pow (cos v) 3) (sin v)))))))
#s(approx (+ (* (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) -1) (* (pow (pow (cos v) 2) 3/2) (sin v))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow (cos v) 2) (sin v))) (+ (* -1 (+ (* -1 (/ (sin v) (pow e 2))) (/ (* (cos v) (sin v)) e))) (* 2 (* (pow (cos v) 2) (sin v))))) e)) (* (pow (cos v) 3) (sin v)))))
#s(approx (/ (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) e) #s(hole binary64 (/ (+ (* -1 (* (pow (cos v) 2) (sin v))) (+ (* -1 (+ (* -1 (/ (sin v) (pow e 2))) (/ (* (cos v) (sin v)) e))) (* 2 (* (pow (cos v) 2) (sin v))))) e)))
#s(approx (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) #s(hole binary64 (+ (* -1 (* (pow (cos v) 2) (sin v))) (+ (* -1 (+ (* -1 (/ (sin v) (pow e 2))) (/ (* (cos v) (sin v)) e))) (* 2 (* (pow (cos v) 2) (sin v)))))))
#s(approx (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) #s(hole binary64 (+ (* -1 (/ (sin v) (pow e 2))) (/ (* (cos v) (sin v)) e))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v))) #s(hole binary64 (+ (* -1 (* (pow (cos v) 2) (sin v))) (* 2 (* (pow (cos v) 2) (sin v))))))
#s(approx (* 2 (pow (cos v) 2)) #s(hole binary64 (* 2 (pow (cos v) 2))))
#s(approx (pow (cos v) 2) #s(hole binary64 (pow (cos v) 2)))
#s(approx (* (neg (pow (cos v) 2)) (sin v)) #s(hole binary64 (* -1 (* (pow (cos v) 2) (sin v)))))
#s(approx (neg (pow (cos v) 2)) #s(hole binary64 (* -1 (pow (cos v) 2))))
#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) #s(hole binary64 (* (pow (cos v) 3) (sin v))))
#s(approx (pow (pow (cos v) 2) 3/2) #s(hole binary64 (pow (cos v) 3)))
#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (/ (* e (- (* 1/2 (- 1 (cos (* 2 v)))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (- (* 1/2 (- 1 (cos (* 2 v)))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (- (* 1/2 (- 1 (cos (* 2 v)))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))))
#s(approx (/ (- (cos (- v v)) (cos (+ v v))) 2) #s(hole binary64 (* 1/2 (- 1 (cos (* 2 v))))))
#s(approx (- (cos (- v v)) (cos (+ v v))) #s(hole binary64 (- 1 (cos (* 2 v)))))
#s(approx (cos (+ v v)) #s(hole binary64 (cos (* 2 v))))
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#s(approx (* (pow (cos v) 2) (sin v)) #s(hole binary64 (* (pow (cos v) 2) (sin v))))
#s(approx (* (* -1 (cos v)) (sin v)) #s(hole binary64 (* -1 (* (cos v) (sin v)))))
#s(approx (* -1 (cos v)) #s(hole binary64 (* -1 (cos v))))
#s(approx (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e)) #s(hole binary64 (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v)))))))))
#s(approx (/ (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (* e (+ (* -1 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (pow (sin v) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (* (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) e) #s(hole binary64 (* e (+ (* -1 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (pow (sin v) 2)))))
#s(approx (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) #s(hole binary64 (+ (* -1 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (pow (sin v) 2))))
#s(approx (pow (sin v) 1) #s(hole binary64 (sin v)))
#s(approx (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))))) #s(hole binary64 (* -1 (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))) #s(hole binary64 (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))
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#s(approx (* (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) #s(hole binary64 (/ (* e (- (* 1/2 (- 1 (cos (neg (* -2 v))))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (/ (- (* 1/2 (- 1 (cos (neg (* -2 v))))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2))) (- (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))))))))
#s(approx (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) #s(hole binary64 (- (* 1/2 (- 1 (cos (neg (* -2 v))))) (* (pow e 2) (pow (+ (* -1 (* (cos v) (sin v))) (* e (+ (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* (pow (cos v) 2) (sin v))))) 2)))))
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#s(approx (cos (+ v v)) #s(hole binary64 (cos (neg (* -2 v)))))
Outputs
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#s(approx (+ (* (+ (/ (* (/ (sin v) e) -1) e) (* (cos v) (/ (sin v) e))) -1) (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v)))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (pow.f64 e #s(literal -1 binary64)) (pow.f64 (*.f64 e e) #s(literal -1 binary64))) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 e e) #s(literal -1 binary64))) (*.f64 #s(literal 2/3 binary64) (pow.f64 e #s(literal -1 binary64))))) #s(literal 7/6 binary64)))))))
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#s(approx (/ (sin v) e) (/.f64 v e))
#s(approx (/ (sin v) e) (*.f64 v (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 v v) e) (pow.f64 e #s(literal -1 binary64)))))
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#s(approx (pow (sin v) 1) v)
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#s(approx v v)
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#s(approx (cos v) #s(literal 1 binary64))
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#s(approx (+ (* (* 2 (pow (cos v) 2)) (sin v)) (* (neg (pow (cos v) 2)) (sin v))) v)
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#s(approx (* (pow (pow (cos v) 2) 3/2) (sin v)) v)
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#s(approx (pow (sin v) 1) (sin.f64 v))
#s(approx (cos v) (cos.f64 v))
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#s(approx (* 2 (pow (cos v) 2)) (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
#s(approx (pow (cos v) 2) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))
#s(approx (* (neg (pow (cos v) 2)) (sin v)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))
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#s(approx (pow (pow (cos v) 2) 3/2) (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
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#s(approx (* (pow (cos v) 2) (sin v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))
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#s(approx (+ (* (pow (sin v) 1) (pow (sin v) 1)) (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))))) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
#s(approx (pow (sin v) 1) (sin.f64 v))
#s(approx (* (neg (* e e)) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))))
#s(approx (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v)))) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) (* e (pow (* (pow e -1/4) (pow e -1/4)) 2)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
#s(approx (* (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) e) (/.f64 (*.f64 e (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) v)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))))))) (-.f64 (sin.f64 v) (*.f64 e (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))))
#s(approx (/ (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) v)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))) (-.f64 (sin.f64 v) (*.f64 e (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))))
#s(approx (- (/ (- (cos (- v v)) (cos (+ v v))) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) v)))) (*.f64 (*.f64 e e) (*.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e (fma.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v)))))))))
#s(approx (/ (- (cos (- v v)) (cos (+ v v))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) v)))))
#s(approx (- (cos (- v v)) (cos (+ v v))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) v))))
#s(approx (cos (+ v v)) (cos.f64 (*.f64 #s(literal -2 binary64) v)))

eval327.0ms (5.8%)

Memory
20.3MiB live, 487.2MiB allocated; 51ms collecting garbage
Compiler

Compiled 249 930 to 9 104 computations (96.4% saved)

prune749.0ms (13.3%)

Memory
-14.9MiB live, 1 087.7MiB allocated; 62ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1 71001 710
Fresh000
Picked044
Done033
Total1 71071 717
Accuracy
100.0%
Counts
1 717 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.3%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
✓98.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
✓87.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) e) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))))
✓99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
✓76.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
✓35.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Compiler

Compiled 1 180 to 308 computations (73.9% saved)

regimes10.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) e) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e (*.f64 e (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

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

regimes7.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 e e)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v)))))) e) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
Calls

3 calls:

2.0ms
e
2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.6%1e
99.6%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 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
95.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.5%2e
95.9%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
-40.2MiB live, 7.2MiB allocated; 2ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Calls

3 calls:

3.0ms
e
1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
Results
AccuracySegmentsBranch
80.1%2(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
81.6%3v
87.6%2e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
35.9%1v
35.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
35.9%1e
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch20.0ms (0.4%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
9.388372920535092e-105
6.36629977733066e-102
Samples
11.0ms128×0valid
Compiler

Compiled 2 390 to 726 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sin: 3.0ms (35.8% of total)
ival-mult: 2.0ms (23.9% of total)
ival-cos: 2.0ms (23.9% of total)
ival-div: 1.0ms (11.9% of total)
ival-add: 1.0ms (11.9% 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)

bsearch20.0ms (0.4%)

Memory
-24.0MiB live, 23.4MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
9.388372920535092e-105
6.36629977733066e-102
Samples
12.0ms112×0valid
Compiler

Compiled 2 446 to 766 computations (68.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 4.0ms (41.7% of total)
ival-cos: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
ival-mult: 1.0ms (10.4% of total)
ival-add: 0.0ms (0% 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)

simplify63.0ms (1.1%)

Memory
12.3MiB live, 60.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095814
1186775
2488765
31908585
47085585
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
(if (<=.f64 e #s(literal 1563471605872933/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)))
(if (<=.f64 e #s(literal 6657362966942811/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e (sin.f64 v)) e))
(if (<=.f64 e #s(literal 1563471605872933/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)))
(if (<=.f64 e #s(literal 1563471605872933/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 v)))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 v)))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 v)))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)))
(if (<=.f64 e #s(literal 6657362966942811/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 v v)) (cos.f64 (+.f64 v v))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) (-.f64 (sin.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) e) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v)) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (sin.f64 v))) e (*.f64 (*.f64 #s(literal -1 binary64) (cos.f64 v)) (sin.f64 v))) e))) e)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e)))
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#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ (- (pow (sin v) 2) (* (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (- (sin v) (* (+ (* (+ (* (* -1 e) (* (pow (pow (cos v) 2) 3/2) (sin v))) (* (pow (cos v) 2) (sin v))) e) (* (* -1 (cos v)) (sin v))) e))) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) e)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64)) e) (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)))) e) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (sin.f64 v))))) e))

derivations103.0ms (1.8%)

Memory
-1.0MiB live, 94.1MiB allocated; 3ms collecting garbage
Stop Event
1×done
Compiler

Compiled 874 to 96 computations (89% saved)

preprocess62.0ms (1.1%)

Memory
3.0MiB live, 97.8MiB allocated; 9ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 1 836 to 264 computations (85.6% saved)

end0.0ms (0%)

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

Profiling

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