Trigonometry A

Time bar (total: 5.1s)

start0.0ms (0%)

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

analyze7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.7s (34.2%)

Memory
-72.0MiB live, 1 678.3MiB allocated; 1.2s collecting garbage
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sin: 588.0ms (48.7% of total)
ival-mult: 226.0ms (18.7% of total)
ival-cos: 158.0ms (13.1% of total)
ival-<=: 110.0ms (9.1% of total)
ival-div: 51.0ms (4.2% of total)
ival-add: 46.0ms (3.8% of total)
ival-and: 12.0ms (1% of total)
exact: 11.0ms (0.9% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain147.0ms (2.9%)

Memory
2.4MiB live, 199.8MiB 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
79.0ms512×0valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-sin: 37.0ms (58.3% of total)
ival-cos: 13.0ms (20.5% of total)
ival-mult: 7.0ms (11% of total)
ival-div: 3.0ms (4.7% of total)
ival-add: 3.0ms (4.7% 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)

preprocess190.0ms (3.7%)

Memory
-8.4MiB live, 170.6MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561
17657
216755
333555
468055
5166455
6694055
0911
01511
13211
25211
310211
424111
577711
6446111
0807110
Stop Event
iter limit
node limit
iter limit
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
1.0MiB live, 1.0MiB 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)

simplify144.0ms (2.8%)

Memory
-10.5MiB live, 186.8MiB allocated; 28ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
13232
25232
310232
424132
577732
6446132
0807130
Stop Event
iter limit
node limit
iter limit
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
(/.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))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(cos.f64 v)

localize45.0ms (0.9%)

Memory
7.6MiB live, 60.8MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.015625
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.1171875
(*.f64 e (cos.f64 v))
accuracy0.12890625
(*.f64 e (sin.f64 v))
Samples
27.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 8.0ms (40.4% of total)
ival-cos: 5.0ms (25.3% of total)
ival-mult: 3.0ms (15.2% of total)
ival-div: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% 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)

series12.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
6 → 44
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
#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 (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 (cos v)) #s(hole binary64 (* e (cos v))))
#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 (/ (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 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* 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 (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 (* 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
2.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
e
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
1.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify136.0ms (2.7%)

Memory
4.5MiB live, 136.8MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391173
16871161
222731088
081991026
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
#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 (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 (cos v)) #s(hole binary64 (* e (cos v))))
#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 (/ (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 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ 1 (* 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 (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 (* 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
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (* e (cos v)))))
#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)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#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)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#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)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e))
#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)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e))
#s(approx (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (* e (sin v)) (*.f64 (sin.f64 v) e))
#s(approx (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (* e (cos v)) (*.f64 (cos.f64 v) e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (cos v))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (cos.f64 v) e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* e (+ (cos v) (/ 1 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)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (cos.f64 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)))) (-.f64 (/.f64 (sin.f64 v) (cos.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)))) #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)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))
#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))) (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (+ 1 (* e (cos v))) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))))
#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)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#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)))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)))
#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)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64)))) (*.f64 v v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal -1 binary64)))) v))
#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)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/24 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) e) (/.f64 e (-.f64 e #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (-.f64 e #s(literal -1 binary64)))) v))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) (*.f64 v e))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v))
#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)) (*.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))) (*.f64 v v) e) v))
#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 (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) e) (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (*.f64 v e)))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) v)
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) v))
#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 (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 v v)) #s(literal 1/6 binary64))) v))
#s(approx (* e (cos v)) #s(hole binary64 e))
#s(approx (* e (cos v)) e)
#s(approx (* e (cos v)) #s(hole binary64 (+ e (* -1/2 (* e (pow v 2))))))
#s(approx (* e (cos v)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
#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)) (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/24 binary64) v) v #s(literal -1/2 binary64))) (*.f64 v v) e))
#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 (* e (cos v)) (fma.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#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) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (cos v) (fma.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #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)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (sin v) (sin.f64 v))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (cos v) (cos.f64 v))

rewrite64.0ms (1.2%)

Memory
-25.6MiB live, 67.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14929
028227
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 47
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #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 (neg.f64 e) (cos.f64 v))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(-.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) e))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.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 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (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)))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(*.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v))
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(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 (/.f64 (PI.f64) #s(literal 2 binary64)) v))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))

eval10.0ms (0.2%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 904 to 368 computations (80.7% saved)

prune5.0ms (0.1%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689
Accuracy
99.9%
Counts
89 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 236 to 170 computations (28% saved)

simplify140.0ms (2.7%)

Memory
-33.3MiB live, 149.7MiB allocated; 18ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
cost-diff0
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff0
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
cost-diff0
(-.f64 e #s(literal -1 binary64))
cost-diff0
(/.f64 e (-.f64 e #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029191
046187
174187
2115187
3263187
4899187
54506187
08140187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (-.f64 e #s(literal -1 binary64)))
e
(-.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin.f64 v)
v
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(cos.f64 v)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (-.f64 e #s(literal -1 binary64)))
e
(-.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin.f64 v)
v
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(cos.f64 v)

localize94.0ms (1.8%)

Memory
42.9MiB live, 132.1MiB allocated; 10ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
accuracy0.185878759768442
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
accuracy0.0
(cos.f64 v)
accuracy0.01171875
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy0.1328125
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
accuracy0.5301103483792622
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
accuracy0.0
(sin.f64 v)
accuracy0.12890625
(*.f64 (sin.f64 v) e)
accuracy1.0550150546464605
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
accuracy0.0
(-.f64 e #s(literal -1 binary64))
accuracy0.015625
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
accuracy0.01953125
(/.f64 e (-.f64 e #s(literal -1 binary64)))
accuracy32.32846208321541
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
accuracy0.0
(sin.f64 v)
accuracy0.0
(cos.f64 v)
accuracy0.015625
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.12890625
(*.f64 (sin.f64 v) e)
Samples
74.0ms256×0valid
Compiler

Compiled 163 to 27 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-cos: 26.0ms (44.5% of total)
ival-mult: 12.0ms (20.5% of total)
ival-div: 7.0ms (12% of total)
ival-sin: 6.0ms (10.3% of total)
ival-add: 4.0ms (6.8% of total)
ival-sub: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% 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)

series44.0ms (0.9%)

Memory
-26.5MiB live, 71.3MiB allocated; 31ms collecting garbage
Counts
17 → 130
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (-.f64 e #s(literal -1 binary64)))
(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(cos.f64 v)
Outputs
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 1))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (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 (/ (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) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (- e -1) #s(hole binary64 e))
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* e (+ (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (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 (/ (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 (cos v)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (- (cos v) (/ 1 e))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (/ (* 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 (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

TimeVariablePointExpression
20.0ms
e
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v))
6.0ms
v
@inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v))
5.0ms
v
@-inf
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v))
4.0ms
v
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v))
3.0ms
e
@0
((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v))

simplify185.0ms (3.6%)

Memory
27.6MiB live, 247.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05543779
116333632
259913544
084303367
Stop Event
iter limit
node limit
Counts
130 → 130
Calls
Call 1
Inputs
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 1))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (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 (/ (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) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (- e -1) #s(hole binary64 e))
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (cos v)))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* e (+ (* -1 (cos v)) (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (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 (/ (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 (cos v)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (* -1 (* e (- (cos v) (/ 1 e))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))))
#s(approx (* (sin v) e) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* (sin v) e) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* -1/2 (* e (pow v 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))))
#s(approx (/ (* 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 (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
Outputs
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e))
#s(approx (* (sin v) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) e) (*.f64 (sin.f64 v) e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (+ 1 (* e (cos v)))))
#s(approx (+ (* (cos v) e) 1) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 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 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) (*.f64 e v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e (neg.f64 v)) e v) e))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) e)
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(literal 1 binary64))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (- e -1) (-.f64 e #s(literal -1 binary64)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (sin.f64 v) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (sin.f64 v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 1))
#s(approx (+ (* (neg e) (cos v)) 1) #s(literal 1 binary64))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 (* e (cos v))))))
#s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (*.f64 (sin.f64 v) e))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
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#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e)) #s(literal 1/24 binary64) (fma.f64 (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (*.f64 v v) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 #s(literal -1/24 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 (-.f64 e #s(literal -1 binary64)) e))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (-.f64 e #s(literal -1 binary64)) e))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (/.f64 (-.f64 e #s(literal -1 binary64)) e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (sin v) (sin.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (cos v) (cos.f64 v))

rewrite48.0ms (0.9%)

Memory
25.7MiB live, 71.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029158
046154
1152154
0966154
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 149
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (-.f64 e #s(literal -1 binary64)))
(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(cos.f64 v)
Outputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.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 (neg.f64 e) (cos.f64 v)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 v)) e #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) (*.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 v) e) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (cos.f64 v) e))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 e) (cos.f64 v))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 (*.f64 e v) (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64))))
(*.f64 v (/.f64 e (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 e) v) (neg.f64 (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 v (neg.f64 e)) (neg.f64 (-.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 e v)) (neg.f64 (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 e (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (neg.f64 (-.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 e) (neg.f64 (-.f64 e #s(literal -1 binary64))))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 e) (-.f64 e #s(literal -1 binary64))))
(neg.f64 (/.f64 e (neg.f64 (-.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) e)))
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))))
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))
(/.f64 (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))
(-.f64 (/.f64 (pow.f64 e #s(literal 3 binary64)) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))))
(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)))
(fma.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)))
(+.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (cos.f64 v))))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (neg.f64 e) (cos.f64 v)))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (cos.f64 v)) e #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) (*.f64 (neg.f64 e) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(fma.f64 e (neg.f64 (cos.f64 v)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 e)) (cos.f64 v)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (cos.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(+.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(+.f64 (cos.f64 v) (pow.f64 e #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 (/.f64 (PI.f64) #s(literal 2 binary64)) v))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))

eval50.0ms (1%)

Memory
-20.4MiB live, 81.0MiB allocated; 18ms collecting garbage
Compiler

Compiled 8 433 to 1 139 computations (86.5% saved)

prune26.0ms (0.5%)

Memory
9.6MiB live, 55.6MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New28122303
Fresh101
Picked235
Done000
Total28425309
Accuracy
100.0%
Counts
309 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
30.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
49.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
4.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
70.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 1 375 to 906 computations (34.1% saved)

simplify165.0ms (3.2%)

Memory
2.9MiB live, 186.8MiB allocated; 21ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
cost-diff0
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
cost-diff0
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
cost-diff3
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
cost-diff0
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
cost-diff0
#s(approx (* (/ e (- e -1)) v) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
cost-diff3
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048358
069349
1115332
2236332
3704332
43122332
08252320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (* (/ e (- e -1)) v) v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
#s(literal 1/2 binary64)
e
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (* (/ e (- e -1)) v) v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v))
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v)
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
(pow.f64 e #s(literal -1 binary64))
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 1/2 binary64)
e
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))
(sin.f64 v)
v
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) e)
(pow.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e

localize154.0ms (3%)

Memory
-3.6MiB live, 330.3MiB allocated; 53ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
accuracy0.185878759768442
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
accuracy1.0522563972601133
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
accuracy0.1328125
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
accuracy0.34375
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
accuracy0.5301103483792622
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
accuracy32.73121020440649
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
accuracy0.015625
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
accuracy0.019167541389095776
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
accuracy32.32846208321541
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
accuracy62.99849726595819
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy32.32846208321541
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
accuracy60.184713639074076
#s(approx (* (/ e (- e -1)) v) v)
accuracy0.0
(cos.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
accuracy0.185878759768442
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
accuracy0.5006637695368841
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
Samples
123.0ms256×0valid
Compiler

Compiled 236 to 41 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-add: 31.0ms (34.1% of total)
ival-mult: 19.0ms (20.9% of total)
ival-div: 7.0ms (7.7% of total)
ival-sin: 7.0ms (7.7% of total)
ival-cos: 7.0ms (7.7% of total)
ival-pow: 7.0ms (7.7% of total)
const: 6.0ms (6.6% of total)
ival-sub: 4.0ms (4.4% of total)
ival-neg: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory
-9.4MiB live, 35.8MiB allocated; 8ms collecting garbage
Counts
19 → 128
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (* (/ e (- e -1)) v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
Outputs
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (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 (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e)))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e)))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (- (* 2/3 e) 1/6)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (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 (/ (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) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1/6 v)))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (+ (* -1/6 v) (* 2/3 (* e v)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* 2/3 e)))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* e (- 2/3 (* 1/6 (/ 1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (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 (/ (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 (cos v)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* 2/3 (* e v))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* e (+ (* -1/6 (/ v e)) (* 2/3 v)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) 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 (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (/ (* 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 (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
v
@inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v))
3.0ms
e
@-inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v))
3.0ms
v
@-inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v))
3.0ms
v
@0
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v))
2.0ms
e
@0
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- 1 (/ 1 e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (+ (/ 1 e) (cos v)) (cos v) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v))

simplify176.0ms (3.4%)

Memory
7.7MiB live, 243.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05523698
115693524
258083389
084713244
Stop Event
iter limit
node limit
Counts
128 → 128
Calls
Call 1
Inputs
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (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 (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ -1 e)))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (/ (- e 1) e)))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 -1/6))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (- (* 2/3 e) 1/6)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (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 (/ (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) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1/6 v)))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (+ (* -1/6 v) (* 2/3 (* e v)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 1))
#s(approx (- 1 (/ 1 e)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* 2/3 e)))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* e (- 2/3 (* 1/6 (/ 1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (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 (/ (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 (cos v)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* 2/3 (* e v))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* e (+ (* -1/6 (/ v e)) (* 2/3 v)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) 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 (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(hole binary64 (* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (/ (* 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 (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (cos v) #s(hole binary64 (cos v)))
Outputs
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (pow.f64 e #s(literal -1 binary64)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#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)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 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)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e))
#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)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (*.f64 (sin.f64 v) e))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
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#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/24 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (cos v) #s(hole binary64 1))
#s(approx (cos v) #s(literal 1 binary64))
#s(approx (cos v) #s(hole binary64 (+ 1 (* -1/2 (pow v 2)))))
#s(approx (cos v) (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))))
#s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (cos v) #s(hole binary64 (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))))
#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) #s(hole binary64 (* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))))
#s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (sin v) #s(hole binary64 (sin v)))
#s(approx (sin v) (sin.f64 v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (cos v) (cos.f64 v))

rewrite77.0ms (1.5%)

Memory
-0.9MiB live, 99.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048294
069285
1239272
01827262
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 118
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (* (/ e (- e -1)) v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
Outputs
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))
(fma.f64 (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/4 binary64))) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(fma.f64 (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 v))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(fma.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (neg.f64 e)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1 binary64))) (cos.f64 v))
(fma.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(-.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 v) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(-.f64 (cos.f64 v) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 e #s(literal -3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (* (/ e (- e -1)) v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v))
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))) v)
(*.f64 v #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))))
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -2 binary64))) (pow.f64 e #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (neg.f64 (pow.f64 e #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) (*.f64 e #s(literal 2/3 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 e e))) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))
(/.f64 (+.f64 (pow.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) (fma.f64 (*.f64 e #s(literal 2/3 binary64)) (*.f64 e #s(literal 2/3 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))
(fma.f64 #s(literal 1/6 binary64) e (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))
(fma.f64 e #s(literal 1/6 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) e))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) e))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) e) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) e) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(+.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(+.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
(*.f64 e #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64)))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #s(literal -1 binary64))))))
#s(approx (+ (/ 1 e) (cos v)) (pow.f64 e #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 (/.f64 (PI.f64) #s(literal 2 binary64)) v))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (*.f64 (sin.f64 v) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 v) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v)
(*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))
(/.f64 (*.f64 v (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (*.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 e e) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e)))))
(fma.f64 (*.f64 e #s(literal 2/3 binary64)) v (*.f64 #s(literal -1/6 binary64) v))
(fma.f64 (*.f64 #s(literal 1/2 binary64) e) v (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v (*.f64 (*.f64 #s(literal 1/2 binary64) e) v))
(fma.f64 v (*.f64 e #s(literal 2/3 binary64)) (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 v (*.f64 #s(literal 1/2 binary64) e) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(fma.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)))
(+.f64 (*.f64 (*.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (*.f64 (*.f64 #s(literal 1/2 binary64) e) v))
(+.f64 (*.f64 v (*.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64)))
(+.f64 (*.f64 v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(+.f64 (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (*.f64 v (*.f64 #s(literal 1/2 binary64) e)))

eval29.0ms (0.6%)

Memory
17.5MiB live, 64.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 8 236 to 1 136 computations (86.2% saved)

prune23.0ms (0.4%)

Memory
5.4MiB live, 52.6MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New20810218
Fresh51217
Picked325
Done033
Total21627243
Accuracy
100.0%
Counts
243 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
4.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
70.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 1 513 to 992 computations (34.4% saved)

simplify143.0ms (2.8%)

Memory
-32.1MiB live, 169.5MiB allocated; 83ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
cost-diff3
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
cost-diff3
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)))
cost-diff0
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))
cost-diff0
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
cost-diff0
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
cost-diff0
(-.f64 e #s(literal -1 binary64))
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
cost-diff0
#s(approx (/ e (- e -1)) e)
cost-diff0
(*.f64 #s(approx (/ e (- e -1)) e) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
cost-diff2
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
cost-diff5
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065602
0106602
1182553
2474539
32441539
08150517
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(pow.f64 e #s(literal -1/4 binary64))
e
#s(literal -1/4 binary64)
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(pow.f64 e #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
(*.f64 #s(approx (/ e (- e -1)) e) v)
#s(approx (/ e (- e -1)) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(*.f64 e v)
e
v
(-.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))
v
(*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)
(fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))
#s(literal -2/3 binary64)
e
#s(literal 1/6 binary64)
(*.f64 v v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v)
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)))
e
#s(literal 1/80 binary64)
(fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/5040 binary64)
v
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
#s(literal -1/8 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/120 binary64)
(*.f64 v v)
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 2/3 binary64)
#s(literal -1/6 binary64)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/4 binary64))
e
#s(literal -1/4 binary64)
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64))
(pow.f64 e #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
(*.f64 #s(approx (/ e (- e -1)) e) v)
#s(approx (/ e (- e -1)) e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(*.f64 e v)
(*.f64 v e)
e
v
(-.f64 e #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)))
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))
(-.f64 v (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v))
v
(*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)
(*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e) v)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)
(fma.f64 (*.f64 v v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) e)
(fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64))
#s(literal -2/3 binary64)
e
#s(literal 1/6 binary64)
(*.f64 v v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))
(*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v)
(*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v)
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)))
(fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64))
e
#s(literal 1/80 binary64)
(fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))
#s(literal 1/5040 binary64)
#s(literal -1/5040 binary64)
v
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))
#s(literal -1/8 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/120 binary64)
(*.f64 v v)
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 2/3 binary64)
#s(literal -1/6 binary64)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)

localize190.0ms (3.7%)

Memory
19.0MiB live, 257.0MiB allocated; 12ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
accuracy0.1328125
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
accuracy0.5301103483792622
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
accuracy32.688227261838534
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
accuracy0.1328125
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
accuracy0.140625
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)
accuracy0.5301103483792622
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
accuracy32.73121020440649
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
accuracy0.0
(-.f64 e #s(literal -1 binary64))
accuracy0.0
(*.f64 e v)
accuracy0.0234375
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
accuracy32.32846208321541
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
accuracy0.015625
(*.f64 #s(approx (/ e (- e -1)) e) v)
accuracy1.0964584886185789
#s(approx (/ e (- e -1)) e)
accuracy32.32846208321541
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
accuracy0.185878759768442
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
accuracy0.3515625
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
accuracy0.35546875
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
Samples
152.0ms256×0valid
Compiler

Compiled 435 to 66 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-mult: 37.0ms (31.3% of total)
const: 24.0ms (20.3% of total)
ival-add: 14.0ms (11.8% of total)
ival-neg: 12.0ms (10.1% of total)
ival-pow: 10.0ms (8.5% of total)
ival-div: 6.0ms (5.1% of total)
ival-sin: 6.0ms (5.1% of total)
ival-cos: 5.0ms (4.2% of total)
ival-sub: 4.0ms (3.4% of total)
exact: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (1.7%)

Memory
-9.0MiB live, 123.9MiB allocated; 17ms collecting garbage
Counts
22 → 139
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
(*.f64 #s(approx (/ e (- e -1)) e) v)
#s(approx (/ e (- e -1)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(*.f64 e v)
(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)))
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
Outputs
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (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 (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e v)))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (* e v) #s(hole binary64 (* e v)))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- v (* 1/6 (pow v 3)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- (+ v (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))) (* 1/6 (pow v 3)))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 -1/5040))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (- (* 4/315 e) 1/5040)))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 1/120))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (+ 1/120 (* -2/15 e))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* 1/6 (pow v 2))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/5040 (pow v 2)) (* e (- (* 4/315 (pow v 2)) 2/15))))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 v))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (- e -1) #s(hole binary64 e))
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* e (- (/ v e) (+ (* 1/6 (/ (pow v 3) e)) (* v (+ 1 (* -2/3 (pow v 2)))))))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* 4/315 e)))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* e (- 4/315 (* 1/5040 (/ 1 e))))))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* -2/15 e)))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* e (- (* 1/120 (/ 1 e)) 2/15))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* e (+ 1 (* -2/3 (pow v 2))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* e (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* e (- (* 4/315 (pow v 2)) 2/15))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* e (- (+ (* -1/5040 (/ (pow v 2) e)) (+ (* 4/315 (pow v 2)) (* 1/120 (/ 1 e)))) 2/15))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))))
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (* (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 e)))))) (sqrt -1))))
#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 (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* e (* v (- (* 2/3 (pow v 2)) 1)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (- v (* 1/6 (pow v 3))) e)) (* v (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* -1 (* e (- (* 1/5040 (/ 1 e)) 4/315)))))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* -1 (* e (- (* 2/3 (pow v 2)) 1)))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 2/3 (pow v 2))) 1)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* -1 (* e (+ 2/15 (* -4/315 (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* -1 (* e (+ 2/15 (+ (* -1 (/ (+ 1/120 (* -1/5040 (pow v 2))) e)) (* -4/315 (pow v 2))))))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (/ (* 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 (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 e))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ 1/6 (* -2/3 e))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (+ (* -1/120 e) (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (+ 1/6 (* -2/3 e))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2))))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (* -2/3 e)))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* -1/8 (/ e (pow v 2))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (+ (* 1/80 e) (* 1/120 (/ 1 (pow v 2))))))) 1/5040))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 e)) (pow v 2))) (* -1 (+ 1/6 (* -2/3 e))))))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
e
@0
((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))))
16.0ms
e
@-inf
((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))))
14.0ms
e
@inf
((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))))
8.0ms
v
@inf
((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))))
4.0ms
v
@-inf
((+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (* (pow e -1/4) (pow e -1/2)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (* e v) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))))

simplify169.0ms (3.3%)

Memory
-0.3MiB live, 186.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06614018
118693720
274423669
081253427
Stop Event
iter limit
node limit
Counts
139 → 139
Calls
Call 1
Inputs
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (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 (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
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#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
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#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
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#s(approx (* e v) #s(hole binary64 (* e v)))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- v (* 1/6 (pow v 3)))))
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#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 -1/5040))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (- (* 4/315 e) 1/5040)))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 1/120))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (+ 1/120 (* -2/15 e))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* 1/6 (pow v 2))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/5040 (pow v 2)) (* e (- (* 4/315 (pow v 2)) 2/15))))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 v))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
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#s(approx (- e -1) #s(hole binary64 e))
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* e (- (/ v e) (+ (* 1/6 (/ (pow v 3) e)) (* v (+ 1 (* -2/3 (pow v 2)))))))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* 4/315 e)))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* e (- 4/315 (* 1/5040 (/ 1 e))))))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* -2/15 e)))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* e (- (* 1/120 (/ 1 e)) 2/15))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* e (+ 1 (* -2/3 (pow v 2))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* e (+ 1 (+ (* -2/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* e (- (* 4/315 (pow v 2)) 2/15))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* e (- (+ (* -1/5040 (/ (pow v 2) e)) (+ (* 4/315 (pow v 2)) (* 1/120 (/ 1 e)))) 2/15))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))))
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (* (exp (* 1/4 (+ (log -1) (* 3 (log (/ -1 e)))))) (sqrt -1))))
#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 (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))))
#s(approx (/ e (- e -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* e (* v (- (* 2/3 (pow v 2)) 1)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* e (- (* -1 (/ (- v (* 1/6 (pow v 3))) e)) (* v (- (* 2/3 (pow v 2)) 1)))))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* -1 (* e (- (* 1/5040 (/ 1 e)) 4/315)))))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* -1 (* e (- (* 2/3 (pow v 2)) 1)))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 2/3 (pow v 2))) 1)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* -1 (* e (+ 2/15 (* -4/315 (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* -1 (* e (+ 2/15 (+ (* -1 (/ (+ 1/120 (* -1/5040 (pow v 2))) e)) (* -4/315 (pow v 2))))))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))))
#s(approx (/ (* 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 (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ v (+ 1 (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 e))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ 1/6 (* -2/3 e))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (+ (* -1/120 e) (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (+ 1/6 (* -2/3 e))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2))))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (* -2/3 e)))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* -1/8 (/ e (pow v 2))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (+ (* 1/80 e) (* 1/120 (/ 1 (pow v 2))))))) 1/5040))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 e)) (pow v 2))) (* -1 (+ 1/6 (* -2/3 e))))))))
Outputs
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
#s(approx (* (pow e -1/4) (pow e -1/2)) #s(hole binary64 (pow (/ 1 (pow e 3)) 1/4)))
#s(approx (* (pow e -1/4) (pow e -1/2)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 3 binary64))) #s(literal 1/4 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)))) (*.f64 (sin.f64 v) e))
#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)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 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)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e))
#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)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (sin.f64 v) e))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (/ (* e v) (- e -1)) (*.f64 v e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e))
#s(approx (/ e (- e -1)) #s(hole binary64 e))
#s(approx (/ e (- e -1)) e)
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* -1 e)))))
#s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- e 1))))))
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (/ e (- e -1)) #s(hole binary64 (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))))
#s(approx (/ e (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e v)))
#s(approx (/ (* e v) (- e -1)) (*.f64 v e))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e v) v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e))
#s(approx (* e v) #s(hole binary64 (* e v)))
#s(approx (* e v) (*.f64 v e))
#s(approx (- e -1) #s(hole binary64 1))
#s(approx (- e -1) #s(literal 1 binary64))
#s(approx (- e -1) #s(hole binary64 (+ 1 e)))
#s(approx (- e -1) (+.f64 #s(literal 1 binary64) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (sin v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (sin.f64 v) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (sin v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (sin.f64 v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- v (* 1/6 (pow v 3)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 v #s(literal 3 binary64)) v))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (- (+ v (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))) (* 1/6 (pow v 3)))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v) (neg.f64 e) v)))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 -1/5040))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(literal -1/5040 binary64))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (- (* 4/315 e) 1/5040)))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 1/120))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(literal 1/120 binary64))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) #s(hole binary64 (+ 1/120 (* -2/15 e))))
#s(approx (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* 1/6 (pow v 2))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -2/3 (pow v 2)))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (fma.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v e))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (* -1/5040 (pow v 2)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/5040 (pow v 2)) (* e (- (* 4/315 (pow v 2)) 2/15))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) (*.f64 v v)) #s(literal 2/15 binary64)) e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (cos v)))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (cos.f64 v))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) #s(hole binary64 (+ (cos v) (/ 1 e))))
#s(approx (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (cos.f64 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)))) (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) (neg.f64 e)) (cos.f64 v)) (sin.f64 v)) (cos.f64 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)))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.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)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/.f64 (sin.f64 v) (cos.f64 v)))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/.f64 (+.f64 (/.f64 (/.f64 (sin.f64 v) (neg.f64 e)) (cos.f64 v)) (sin.f64 v)) (cos.f64 v)))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (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 (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 v))
#s(approx (/ (* e v) (- e -1)) v)
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (/ (* e v) (- e -1)) (-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v e)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ (* e v) (- e -1)) (-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)))
#s(approx (/ e (- e -1)) #s(hole binary64 1))
#s(approx (/ e (- e -1)) #s(literal 1 binary64))
#s(approx (/ e (- e -1)) #s(hole binary64 (- 1 (/ 1 e))))
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))))
#s(approx (/ e (- e -1)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ e (- e -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))))
#s(approx (/ e (- e -1)) (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e) e) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 v))
#s(approx (/ (* e v) (- e -1)) v)
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e)))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (/ (* e v) (- e -1)) (-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v e)))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))))
#s(approx (/ (* e v) (- e -1)) (-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e)))
#s(approx (- e -1) #s(hole binary64 e))
#s(approx (- e -1) e)
#s(approx (- e -1) #s(hole binary64 (* e (+ 1 (/ 1 e)))))
#s(approx (- e -1) (+.f64 #s(literal 1 binary64) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* -1 (* (pow e 2) (* (cos v) (sin v))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* -1 (* e (* (cos v) (sin v))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) e))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* e (* v (+ 1 (* -2/3 (pow v 2))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v) (neg.f64 e)))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* e (- (/ v e) (+ (* 1/6 (/ (pow v 3) e)) (* v (+ 1 (* -2/3 (pow v 2)))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 v #s(literal 3 binary64)) v) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)) e))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* 4/315 e)))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (*.f64 #s(literal 4/315 binary64) e))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) #s(hole binary64 (* e (- 4/315 (* 1/5040 (/ 1 e))))))
#s(approx (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) (*.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) e))
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#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal 1/24 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #s(literal -1/2 binary64) #s(literal 1/5040 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e)))) (*.f64 v v) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (pow.f64 v #s(literal 3 binary64)) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e v) (- e -1)) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (/ (* e v) (- e -1)) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* v (+ 1 (* -1 e))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) e)) (pow.f64 v #s(literal 3 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (* -1 e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- 1 e))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* v (- (+ 1 (* -1 (* (pow v 2) (+ 1/6 (* -2/3 e))))) e))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 e))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e)
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (+ e (* (pow v 2) (+ 1/6 (* -2/3 e))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (fma.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v e))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (* -1/120 e)))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (+ 1/120 (+ (* -1/8 e) (+ (* -1/120 e) (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040)))))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (* e (sin v)) (+ 1 (* e (cos v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) #s(hole binary64 (/ (sin v) (+ (cos v) (/ 1 e)))))
#s(approx (/ (sin v) (+ (* (pow e -1/4) (* (pow e -1/4) (pow e -1/2))) (cos v))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) #s(hole binary64 (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))))
#s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(hole binary64 (* (sin v) (+ 1 (* -1 (* e (cos v)))))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (+ 1/6 (* -2/3 e))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (pow.f64 v #s(literal 3 binary64))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* (pow v 3) (- (/ 1 (pow v 2)) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1/6 binary64)) (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v)))) (pow.f64 v #s(literal 3 binary64))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (* -2/3 e)))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) v) v))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) #s(hole binary64 (* (pow v 2) (+ 1/6 (+ (* -2/3 e) (/ e (pow v 2)))))))
#s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal -2/3 binary64) e (/.f64 e (*.f64 v v))) #s(literal -1/6 binary64)) v) v))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* 1/5040 e) (* 1/80 e)) 1/5040))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (*.f64 (fma.f64 #s(literal 4/315 binary64) e #s(literal -1/5040 binary64)) v) v))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) #s(hole binary64 (* (pow v 2) (- (+ (* -1/8 (/ e (pow v 2))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (+ (* 1/80 e) (* 1/120 (/ 1 (pow v 2))))))) 1/5040))))
#s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 e (*.f64 v v)) #s(literal -2/15 binary64) (fma.f64 #s(literal 4/315 binary64) e (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))) #s(literal 1/5040 binary64)) v) v))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) #s(hole binary64 (* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 e)) (pow v 2))) (* -1 (+ 1/6 (* -2/3 e))))))))
#s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal 1 binary64) e) v) (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)))))

rewrite118.0ms (2.3%)

Memory
25.8MiB live, 123.9MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065429
0106413
1397378
03321363
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 186
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))
(*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
(*.f64 #s(approx (/ e (- e -1)) e) v)
#s(approx (/ e (- e -1)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(*.f64 e v)
(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v)))
(-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))
(fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64)))
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e)
(fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))
(fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))
Outputs
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))
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(-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (neg.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64))) (*.f64 v v)))
(-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (neg.f64 v) (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v)))
(+.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (*.f64 #s(literal -1/120 binary64) e)) #s(literal 1/120 binary64))
(+.f64 (+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/120 binary64) e))
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 e #s(literal -2/15 binary64))) #s(literal 1/120 binary64))
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) (*.f64 #s(literal -1/8 binary64) e))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 3 binary64)) (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (-.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)) (pow.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) #s(literal 2 binary64)))))
(+.f64 (*.f64 e #s(literal -2/15 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)))
(+.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v) (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) e) (+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v)))
(+.f64 (fma.f64 e #s(literal -2/15 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v))
(+.f64 (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)) (fma.f64 (*.f64 (fma.f64 e #s(literal 4/315 binary64) #s(literal -1/5040 binary64)) v) v (*.f64 #s(literal -1/8 binary64) e)))

eval51.0ms (1%)

Memory
-19.8MiB live, 69.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 15 095 to 2 038 computations (86.5% saved)

prune41.0ms (0.8%)

Memory
1.4MiB live, 55.8MiB allocated; 11ms collecting garbage
Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New29710307
Fresh21517
Picked325
Done055
Total30232334
Accuracy
100.0%
Counts
334 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v))))
98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) (cos.f64 v))))
99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -3/8 binary64))) (cos.f64 v))))
98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e))
99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
49.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
98.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
48.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
48.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
48.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
48.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
27.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
4.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
70.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 2 637 to 1 021 computations (61.3% saved)

regimes43.0ms (0.8%)

Memory
9.5MiB live, 54.4MiB allocated; 7ms collecting garbage
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v) (*.f64 #s(literal 1 binary64) (sin.f64 v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 3 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -3/8 binary64))) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (*.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -1/2 binary64))) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (*.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -3/4 binary64))) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64)))))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

17.0ms
e
12.0ms
v
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%1e
99.8%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.6%)

Memory
-6.2MiB live, 39.2MiB allocated; 6ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
Calls

3 calls:

13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
v
8.0ms
e
Results
AccuracySegmentsBranch
99.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.0%1e
99.0%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes30.0ms (0.6%)

Memory
-9.3MiB live, 36.4MiB allocated; 5ms collecting garbage
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
Calls

3 calls:

8.0ms
v
8.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.5%1e
98.5%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes24.0ms (0.5%)

Memory
34.8MiB live, 34.8MiB allocated; 0ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

7.0ms
e
7.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.2%1v
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.2%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes28.0ms (0.6%)

Memory
-19.4MiB live, 34.0MiB allocated; 7ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(approx (sin v) v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) (*.f64 (*.f64 v v) #s(literal 1/6 binary64))) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (- v (* (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) v)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 v v)) #s(literal 1 binary64)) v) e))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 v e) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 (fma.f64 (fma.f64 #s(literal -2/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 #s(approx (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (*.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* (+ (* e 1/80) (+ (* 1/5040 e) -1/5040)) v) v) (+ (* e -1/8) (+ (* -1/120 e) 1/120))) (*.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) (neg.f64 e))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
Calls

3 calls:

12.0ms
e
7.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
49.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.5%1e
49.5%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (- e -1)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) 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
48.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.8%1e
48.8%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (-.f64 v (*.f64 #s(approx (+ (* (+ (* -2/3 e) 1/6) (* v v)) e) e) v))) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) 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
48.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.8%1e
48.8%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.2%)

Memory
-37.2MiB live, 8.7MiB allocated; 5ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
Calls

3 calls:

6.0ms
v
1.0ms
e
1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
4.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.5%1e
4.5%1v
Compiler

Compiled 13 to 13 computations (0% saved)

simplify48.0ms (0.9%)

Memory
4.0MiB live, 49.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050193
179191
2119191
3236191
4769191
53824191
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))

derivations298.0ms (5.8%)

Memory
-10.6MiB live, 180.4MiB allocated; 23ms collecting garbage
Stop Event
fuel
Compiler

Compiled 193 to 52 computations (73.1% saved)

preprocess39.0ms (0.8%)

Memory
12.7MiB live, 58.7MiB allocated; 4ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 428 to 138 computations (67.8% saved)

end0.0ms (0%)

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

Profiling

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