Trigonometry A

Time bar (total: 5.3s)

start0.0ms (0%)

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

analyze16.0ms (0.3%)

Memory
-33.4MiB live, 13.7MiB allocated; 2ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample2.1s (38.8%)

Memory
-41.3MiB live, 2 576.7MiB allocated; 1.2s collecting garbage
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 482.0ms (39.6% of total)
ival-sin: 239.0ms (19.6% of total)
ival-cos: 224.0ms (18.4% of total)
ival-<=: 120.0ms (9.9% of total)
ival-add: 65.0ms (5.3% of total)
ival-div: 58.0ms (4.8% of total)
ival-and: 12.0ms (1% of total)
exact: 11.0ms (0.9% of total)
ival-assert: 4.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain143.0ms (2.7%)

Memory
-24.1MiB live, 310.1MiB allocated; 56ms 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
76.0ms512×0valid
Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-cos: 13.0ms (29% of total)
ival-mult: 12.0ms (26.8% of total)
ival-sin: 11.0ms (24.6% of total)
ival-add: 4.0ms (8.9% of total)
ival-div: 3.0ms (6.7% 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)

preprocess259.0ms (4.9%)

Memory
48.8MiB live, 328.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
-44.3MiB live, 2.0MiB allocated; 2ms 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)

simplify130.0ms (2.5%)

Memory
16.0MiB live, 204.3MiB allocated; 16ms 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
1×iter limit
1×node limit
1×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)

localize34.0ms (0.6%)

Memory
33.5MiB live, 78.1MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.02734375
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.11328125
(*.f64 e (sin.f64 v))
accuracy0.1171875
(*.f64 e (cos.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: 19.0ms
ival-cos: 7.0ms (36.2% of total)
ival-sin: 6.0ms (31% of total)
ival-mult: 3.0ms (15.5% of total)
ival-div: 2.0ms (10.3% of total)
ival-add: 1.0ms (5.2% 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 (0.8%)

Memory
-20.8MiB live, 85.8MiB allocated; 18ms 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
33.0ms
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
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))
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))

simplify148.0ms (2.8%)

Memory
-7.4MiB live, 221.2MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391173
16871161
222731088
081991026
Stop Event
1×iter limit
1×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))

rewrite53.0ms (1%)

Memory
11.8MiB live, 56.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14929
028227
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×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)))))

eval11.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 904 to 368 computations (80.7% saved)

prune13.0ms (0.3%)

Memory
-36.9MiB live, 13.9MiB allocated; 14ms 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)))
▶99.2%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
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))))
▶54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
▶98.6%
#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))
▶97.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 204 to 154 computations (24.5% saved)

simplify143.0ms (2.7%)

Memory
9.3MiB live, 197.3MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
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) #s(approx (* e (cos 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
029181
046178
178178
2122178
3272178
4923178
54333178
08158178
Stop Event
1×iter limit
1×node limit
1×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
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(literal 1 binary64)
#s(approx (* e (cos 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)
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
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))) (sin.f64 v))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
(-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (* e (cos 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)

localize72.0ms (1.4%)

Memory
24.1MiB live, 159.6MiB allocated; 10ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.0234375
(*.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)
accuracy0.7625620866865672
#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)
accuracy0.02734375
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
accuracy0.11328125
(*.f64 e (sin.f64 v))
accuracy26.360834616604595
#s(approx (* e (cos v)) e)
accuracy0.0
(sin.f64 v)
accuracy0.11328125
(*.f64 (sin.f64 v) e)
accuracy1.6434267272800152
#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 e (-.f64 e #s(literal -1 binary64)))
accuracy0.015625
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
accuracy29.32097971234402
#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)
accuracy0.02734375
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.11328125
(*.f64 (sin.f64 v) e)
Samples
56.0ms256×0valid
Compiler

Compiled 157 to 24 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 14.0ms (34.4% of total)
ival-cos: 8.0ms (19.7% of total)
ival-sin: 6.0ms (14.7% of total)
ival-add: 5.0ms (12.3% of total)
ival-div: 4.0ms (9.8% of total)
ival-sub: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% 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)

series39.0ms (0.7%)

Memory
-30.6MiB live, 72.4MiB allocated; 20ms collecting garbage
Counts
18 → 126
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))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (sin.f64 v))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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))
(cos.f64 v)
#s(approx (* e (cos v)) e)
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 (* e (sin v)) #s(hole binary64 (* e (sin v))))
#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 (* (* (+ (* (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 (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- 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 (+ 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 (* (* (+ (* (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) 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 (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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) 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 (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (+ 1 (* 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 (* (* (+ (* (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 (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 (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 (/ (* (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 (cos v) #s(hole binary64 (cos v)))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
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)))) (* 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) (cos v) (* e (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)))) (* 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) (cos v) (* e (cos v)))
4.0ms
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)))) (* 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) (cos v) (* e (cos v)))
3.0ms
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)))) (* 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) (cos v) (* e (cos v)))
2.0ms
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)))) (* 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) (cos v) (* e (cos v)))

simplify169.0ms (3.2%)

Memory
30.5MiB live, 210.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04873284
114173156
252233116
085162935
Stop Event
1×iter limit
1×node limit
Counts
126 → 126
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 (* e (sin v)) #s(hole binary64 (* e (sin v))))
#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 (* (* (+ (* (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 (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))))
#s(approx (* (/ e (- 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 (+ 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 (* (* (+ (* (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) 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 (+ 1 (* e (cos v))) #s(hole binary64 (* -1 (* e (- (* -1 (cos v)) (/ 1 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) 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 (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (+ 1 (* 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 (* (* (+ (* (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 (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 (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 (/ (* (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 (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)) (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) 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)) (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 (* (/ 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 (* e (sin v)) #s(hole binary64 (* e (sin v))))
#s(approx (* (sin v) e) (*.f64 (sin.f64 v) e))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 1))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(approx (+ 1 (* e (cos v))) #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 (* (* (+ (* (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 (* e (cos v)) #s(hole binary64 (* e (cos v))))
#s(approx (* e (cos v)) (*.f64 (cos.f64 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)) (/.f64 (sin.f64 v) (cos.f64 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)) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 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)) (-.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) 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 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 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 (+ (* (cos v) e) 1) #s(hole binary64 (* e (cos v))))
#s(approx (+ (* (cos v) e) 1) (*.f64 (cos.f64 v) e))
#s(approx (+ (* (cos v) e) 1) #s(hole binary64 (* e (+ (cos v) (/ 1 e)))))
#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 (/ (sin v) (cos v))))
#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (/.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 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (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 (/ (* (sin v) e) (+ (* (cos v) e) 1)) (-.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 (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) e) (+ (* (cos v) e) 1)) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 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 (- e -1)) v) v)
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (- (+ v (/ v (pow e 2))) (/ v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) 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)) v) (-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) 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))))
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#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (fma.f64 #s(literal -1/720 binary64) (*.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/24 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)))) e (*.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 -1/2 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 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 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 -1/2 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 (*.f64 (*.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (*.f64 v v) (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 (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
#s(approx (* e (sin v)) #s(hole binary64 (* e v)))
#s(approx (* (sin v) e) (*.f64 e v))
#s(approx (* e (sin v)) #s(hole binary64 (* v (+ e (* -1/6 (* e (pow v 2)))))))
#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)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))))
#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)) #s(hole binary64 (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))))
#s(approx (* (sin v) e) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e)) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 e v)))
#s(approx (+ 1 (* e (cos v))) #s(hole binary64 (+ 1 e)))
#s(approx (+ (* (cos v) e) 1) (-.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 (+ (* (cos v) e) 1) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) (-.f64 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 (+ (* (cos v) e) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e) #s(literal 1 binary64)))
#s(approx (+ 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 (+ (* (cos v) e) 1) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (-.f64 e #s(literal -1 binary64))))
#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 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 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)))) e) (*.f64 v v) (*.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) (*.f64 (fma.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 (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.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)))) e))) v))
#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 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 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 (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))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) 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) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) e) (-.f64 #s(literal 1 binary64) e)))
#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) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)))
#s(approx (+ (* (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 (+ (* (neg e) (cos v)) 1) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #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 (-.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#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 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#s(approx (* e (cos v)) #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 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e))
#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 (cos v) #s(hole binary64 (cos v)))
#s(approx (cos v) (cos.f64 v))

rewrite54.0ms (1%)

Memory
15.4MiB live, 62.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029153
046150
1150150
0867150
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 158
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))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 e (sin.f64 v))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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))
(cos.f64 v)
#s(approx (* e (cos v)) e)
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))))
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(-.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
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(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64)))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
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(fma.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64) #s(literal 1 binary64))
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(-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))
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(+.f64 #s(approx (* e (cos v)) e) #s(literal 1 binary64))
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#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))
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(*.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)))
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(*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))
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(/.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)))
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(/.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)))
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(+.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64))
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(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 #s(approx (* e (cos v)) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) #s(approx (* e (cos v)) e)))
(*.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e))
#s(approx (* e (cos v)) e)

eval51.0ms (1%)

Memory
-34.6MiB live, 63.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 178 to 1 024 computations (85.7% saved)

prune23.0ms (0.4%)

Memory
-5.7MiB live, 40.1MiB allocated; 3ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New26516281
Fresh011
Picked235
Done000
Total26720287
Accuracy
99.9%
Counts
287 → 20
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)))
54.2%
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
99.2%
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
98.6%
#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)))
▶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))))
▶54.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
54.1%
#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))
✓98.6%
#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))
▶98.1%
#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))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
✓97.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
2.6%
#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))
53.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
52.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
52.3%
#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))
53.0%
#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))
▶2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
▶4.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
51.5%
#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)))
51.5%
#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 911 to 623 computations (31.6% saved)

simplify129.0ms (2.4%)

Memory
54.3MiB live, 131.8MiB allocated; 20ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
cost-diff0
#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))
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
cost-diff5
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
cost-diff0
(/.f64 v e)
cost-diff0
(-.f64 v (/.f64 v e))
cost-diff0
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
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
(+.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))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039259
056259
1101255
2216255
3753245
43196245
08378240
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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)
#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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
v
(/.f64 v e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
(*.f64 e v)
e
v
(fma.f64 e e #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) 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))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(sin.f64 v)
v
Outputs
#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) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
(+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(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)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
v
(/.f64 v e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) v)
(*.f64 e v)
(*.f64 v e)
e
v
(fma.f64 e e #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal -1 binary64) e)
(-.f64 e #s(literal 1 binary64))
#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))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(sin.f64 v)
v

localize108.0ms (2%)

Memory
1.0MiB live, 193.1MiB allocated; 27ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
accuracy0.1328125
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
accuracy0.37972708057676485
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
accuracy0.7625620866865672
#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))
accuracy0.0
(*.f64 e v)
accuracy0.01171875
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
accuracy0.015625
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
accuracy29.32097971234402
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
accuracy0.0
(/.f64 v e)
accuracy0.01953125
(-.f64 v (/.f64 v e))
accuracy29.32097971234402
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
accuracy62.66616379041825
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
accuracy29.32097971234402
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
accuracy60.07309257524123
#s(approx (* (/ e (- e -1)) v) v)
accuracy0.0
(sin.f64 v)
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))))
accuracy0.217128759768442
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
Samples
88.0ms256×0valid
Compiler

Compiled 180 to 32 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-add: 22.0ms (30.8% of total)
ival-sub: 14.0ms (19.6% of total)
ival-mult: 13.0ms (18.2% of total)
ival-div: 9.0ms (12.6% of total)
ival-sin: 6.0ms (8.4% of total)
ival-cos: 6.0ms (8.4% of total)
ival-neg: 1.0ms (1.4% 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)

series65.0ms (1.2%)

Memory
-5.1MiB live, 53.3MiB allocated; 73ms collecting garbage
Counts
19 → 118
Calls
Call 1
Inputs
#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)
(+.f64 (/.f64 #s(literal 1 binary64) e) (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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(/.f64 v e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
(*.f64 e v)
#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))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
(cos.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))))
#s(approx (/ (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 (* (/ 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 (- v (/ v e)) #s(hole binary64 (* -1 (/ v e))))
#s(approx (- v (/ v e)) #s(hole binary64 (/ (- (* e v) v) e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v)))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v)))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))))
#s(approx (* e v) #s(hole binary64 (* e v)))
#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 (/ (* 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) (+ (/ 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 (* (/ 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 (- v (/ v e)) #s(hole binary64 v))
#s(approx (- v (/ v e)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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 (/ (* 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) (+ (/ 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 (* (/ 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 v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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 (/ (* 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) (+ (/ 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 (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 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 (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (- v (/ v e)) #s(hole binary64 (* v (- 1 (/ 1 e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1))))
#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 (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) (+ (/ 1 e) (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 (cos v) #s(hole binary64 (cos v)))
#s(approx (- v (/ v e)) #s(hole binary64 (* -1 (* v (- (/ 1 e) 1)))))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
e
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (- v (/ v e)) (/ v e) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e 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) (cos v))
5.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (- v (/ v e)) (/ v e) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e 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) (cos v))
5.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (- v (/ v e)) (/ v e) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e 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) (cos v))
4.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (- v (/ v e)) (/ v e) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e 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) (cos v))
3.0ms
e
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (/ 1 e) (cos v))) (sin v) (+ (/ 1 e) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (- v (/ v e)) (/ v e) (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (+ (* e e) -1)) (* e 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) (cos v))

simplify187.0ms (3.5%)

Memory
-12.8MiB live, 300.7MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05543286
116603115
262483055
084142908
Stop Event
1×iter limit
1×node limit
Counts
118 → 118
Calls
Call 1
Inputs
#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) (+ (/ 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 (* (/ 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 (- v (/ v e)) #s(hole binary64 (* -1 (/ v e))))
#s(approx (- v (/ v e)) #s(hole binary64 (/ (- (* e v) v) e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v)))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v)))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))))
#s(approx (* e v) #s(hole binary64 (* e v)))
#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 (/ (* 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) (+ (/ 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 (* (/ 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 (- v (/ v e)) #s(hole binary64 v))
#s(approx (- v (/ v e)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 v))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ v e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ v e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (+ v (/ v (pow e 2))) e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 4))) (* -1 (/ v (pow e 2)))) e)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (- (+ v (/ v (pow e 6))) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) 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 (/ (* 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) (+ (/ 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 (* (/ 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 v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (* -1 (/ v (pow e 2)))) e))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (* -1 (/ v (pow e 4))))) e))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (* -1 (/ v (pow e 4))) (* -1 (/ v (pow e 6)))))) 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 (/ (* 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) (+ (/ 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 (sin v) #s(hole binary64 v))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* -1/6 (pow v 2))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
#s(approx (sin v) #s(hole binary64 (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 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 (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (- v (/ v e)) #s(hole binary64 (* v (- 1 (/ 1 e)))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1))))
#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 (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) (+ (/ 1 e) (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 (cos v) #s(hole binary64 (cos v)))
#s(approx (- v (/ v e)) #s(hole binary64 (* -1 (* v (- (/ 1 e) 1)))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(hole binary64 (* e (sin v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) 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)) (-.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) (+ (/ 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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e) (sin.f64 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))) (*.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) (+ (/ 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) (+ (/ 1 e) (cos v))) (*.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 (+ (/ 1 e) (cos v)) #s(hole binary64 (/ 1 e)))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (/ (+ 1 (* e (cos v))) e)))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e v)))
#s(approx (* (/ e (- e -1)) v) (*.f64 v e))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (fma.f64 (neg.f64 v) 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 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 (- e -1)) v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 v) e v) e (neg.f64 v)) e v) e))
#s(approx (- v (/ v e)) #s(hole binary64 (* -1 (/ v e))))
#s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))
#s(approx (- v (/ v e)) #s(hole binary64 (/ (- (* e v) v) e)))
#s(approx (- v (/ v e)) (-.f64 v (/.f64 v e)))
#s(approx (/ v e) #s(hole binary64 (/ v e)))
#s(approx (/ v e) (/.f64 v e))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e v)))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 v e))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* -1 (* e v))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 (fma.f64 (neg.f64 v) e v) e))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e v)))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 v) e v) e (neg.f64 v)) e v) e))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* -1 (* e v))))
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) v))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* -1 (* (pow e 2) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (neg.f64 e) (fma.f64 (*.f64 e e) v v)))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* -1 (* (pow e 2) v)) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) (fma.f64 (neg.f64 e) v (*.f64 (pow.f64 e #s(literal 3 binary64)) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (neg.f64 v)))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (* e (+ (* -1 v) (* (pow e 2) (- (* (pow e 2) (- (* -1 (* (pow e 2) v)) v)) v))))))
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (-.f64 (neg.f64 v) (*.f64 (fma.f64 (fma.f64 (*.f64 e e) v v) (*.f64 e e) v) (*.f64 e e))) e))
#s(approx (* e v) #s(hole binary64 (* e v)))
#s(approx (* e v) (*.f64 v 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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) 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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (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) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) 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)))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (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 (cos.f64 v) #s(literal 4 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal 3 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) (+ (/ 1 e) (cos v))) #s(hole binary64 (/ (sin v) (cos v))))
#s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 (sin.f64 v) (cos.f64 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))) (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v))))
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#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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v))
#s(approx (+ (/ 1 e) (cos v)) #s(hole binary64 (+ 1 (/ 1 e))))
#s(approx (+ (/ 1 e) (cos v)) (/.f64 (+.f64 #s(literal 1 binary64) e) 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 #s(literal 1 binary64) e) 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 #s(literal 1 binary64) e) 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 #s(literal 1 binary64) e) e)))
#s(approx (* (/ e (- e -1)) v) #s(hole binary64 (/ (* e v) (+ 1 e))))
#s(approx (* (/ e (- e -1)) v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (- v (/ v e)) #s(hole binary64 (* v (- 1 (/ 1 e)))))
#s(approx (- v (/ v e)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) #s(hole binary64 (/ (* e (* v (- e 1))) (- (pow e 2) 1))))
#s(approx (* (/ (* e v) (+ (* e e) -1)) (+ -1 e)) (*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e v) (+ (* e e) -1)) #s(hole binary64 (/ (* e v) (- (pow e 2) 1))))
#s(approx (/ (* e v) (+ (* e e) -1)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) 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) (*.f64 (fma.f64 (neg.f64 v) 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 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 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) (*.f64 (fma.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 (*.f64 (pow.f64 v #s(literal 4 binary64)) (*.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)))) e))) v))
#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)) (fma.f64 (neg.f64 v) 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 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 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 (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))
#s(approx (+ (* (neg e) (cos v)) 1) #s(hole binary64 (+ 1 (* -1 e))))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) 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) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) e)))
#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) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) e)) v) v (-.f64 #s(literal 1 binary64) 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 (+ (* (neg e) (cos v)) 1) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/720 binary64) (*.f64 #s(literal -1/24 binary64) e)) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #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 (/ (* 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) (+ (/ 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 (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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) 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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
#s(approx (cos v) #s(hole binary64 (cos v)))
#s(approx (cos v) (cos.f64 v))
#s(approx (- v (/ v e)) #s(hole binary64 (* -1 (* v (- (/ 1 e) 1)))))
#s(approx (- v (/ v e)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) (neg.f64 v)))

rewrite77.0ms (1.4%)

Memory
-6.9MiB live, 95.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039232
056232
1201218
01504213
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
19 → 116
Calls
Call 1
Inputs
#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)
(+.f64 (/.f64 #s(literal 1 binary64) e) (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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(/.f64 v e)
(*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64)))
(*.f64 e v)
#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))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
(cos.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(*.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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))))
(sin.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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))))
(/.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 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))
(+.f64 (pow.f64 e #s(literal -1 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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
#s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e)))
(/.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 v e) v)))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (/.f64 v e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 v e) (+.f64 (/.f64 v e) v) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) #s(literal 2 binary64))) (+.f64 (/.f64 v e) v))
(/.f64 (-.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (/.f64 v e) #s(literal 3 binary64))) (fma.f64 (/.f64 v e) (+.f64 (/.f64 v e) v) (*.f64 v v)))
(-.f64 (/.f64 (*.f64 v v) (+.f64 (/.f64 v e) v)) (/.f64 (pow.f64 (/.f64 v e) #s(literal 2 binary64)) (+.f64 (/.f64 v e) v)))
(-.f64 (/.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 v e) (+.f64 (/.f64 v e) v) (*.f64 v v))) (/.f64 (pow.f64 (/.f64 v e) #s(literal 3 binary64)) (fma.f64 (/.f64 v e) (+.f64 (/.f64 v e) v) (*.f64 v v))))
(-.f64 v (/.f64 v e))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 e)))
(/.f64 (neg.f64 v) (neg.f64 e))
(/.f64 v e)
(neg.f64 (/.f64 (neg.f64 v) e))
(neg.f64 (/.f64 v (neg.f64 e)))
(*.f64 (/.f64 (*.f64 v 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 (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (-.f64 (pow.f64 e #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 e e) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (+.f64 (pow.f64 e #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e e)) (pow.f64 e #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e))
(*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 e #s(literal 1 binary64)))
(*.f64 (*.f64 v e) (/.f64 (-.f64 e #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) (/.f64 (-.f64 e #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(*.f64 v (/.f64 e (-.f64 e #s(literal -1 binary64))))
(*.f64 e (/.f64 v (-.f64 e #s(literal -1 binary64))))
(*.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (-.f64 e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)) (-.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 v) e) (-.f64 e #s(literal 1 binary64))) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 (neg.f64 v) e)) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))) (-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e))) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 (neg.f64 v) e)) (*.f64 (-.f64 #s(literal -1 binary64) e) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (*.f64 v e)) (*.f64 (-.f64 #s(literal -1 binary64) e) (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 v) e)) (*.f64 (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 v e)) (*.f64 (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (*.f64 (neg.f64 v) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (*.f64 v e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) (*.f64 v e)) (fma.f64 e e #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 v) e) (neg.f64 (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 v e) (-.f64 e #s(literal -1 binary64)))
(fma.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) #s(literal -1 binary64) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) e (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 e (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)))
(-.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) e))
(+.f64 (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))))
(+.f64 (*.f64 (neg.f64 e) (/.f64 v (fma.f64 e e #s(literal -1 binary64)))) (*.f64 (*.f64 e e) (/.f64 v (fma.f64 e 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 (*.f64 v e) (-.f64 (pow.f64 e #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 e e) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (+.f64 (pow.f64 e #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e e)) (pow.f64 e #s(literal 4 binary64))))
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) (/.f64 e (-.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) e)
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) (/.f64 v (-.f64 e #s(literal 1 binary64))))
(*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(*.f64 e (/.f64 v (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 v) e)) (neg.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 (*.f64 (neg.f64 v) e) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v) (-.f64 e #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 v) e) (fma.f64 e e #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 v e) (neg.f64 (fma.f64 e e #s(literal -1 binary64)))))
(*.f64 v e)
(*.f64 e v)
#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))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) e) (sin.f64 v))
(*.f64 (*.f64 e #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e)
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) e))
(*.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(*.f64 (sin.f64 v) #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) 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)))))

eval27.0ms (0.5%)

Memory
12.2MiB live, 58.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 654 to 955 computations (87.5% saved)

prune20.0ms (0.4%)

Memory
10.8MiB live, 58.2MiB allocated; 1ms collecting garbage
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New2197226
Fresh11112
Picked235
Done033
Total22224246
Accuracy
99.9%
Counts
246 → 24
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)))
54.2%
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
99.2%
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
98.6%
#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)))
▶99.3%
#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))))
▶97.1%
#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))))
67.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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))))
32.4%
#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)))))
54.1%
#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))
✓98.6%
#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))
✓98.1%
#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))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
✓97.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
▶2.6%
#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))
53.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
▶52.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
53.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (neg.f64 v) e v)) e))
▶52.3%
#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))
54.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
✓2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
✓4.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
51.5%
#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)))
51.5%
#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 1 095 to 742 computations (32.2% saved)

simplify136.0ms (2.6%)

Memory
10.8MiB live, 197.7MiB allocated; 11ms collecting garbage
Localize:

Found 19 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)) 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
(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
048366
070357
1114340
2231340
3700340
43099340
08178328
Stop Event
1×iter limit
1×node limit
1×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)))) (*.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 #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)))) (*.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 #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

localize141.0ms (2.7%)

Memory
-4.3MiB live, 241.5MiB allocated; 40ms collecting garbage
Localize:

Found 19 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))))
accuracy0.217128759768442
(/.f64 (sin.f64 v) #s(approx (+ (/ 1 e) (cos v)) (/.f64 #s(literal 1 binary64) e)))
accuracy1.6433872994180772
#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)
accuracy0.7625620866865672
#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))
accuracy29.834592156788744
#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))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
accuracy0.015625
(*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
accuracy29.32097971234402
#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))
accuracy62.99849997115874
#s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy0.015625
(*.f64 #s(approx (/ e (- e -1)) e) v)
accuracy1.659847636130416
#s(approx (/ e (- e -1)) e)
accuracy29.32097971234402
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) 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))))
accuracy0.217128759768442
(/.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)))
accuracy0.49123002930532605
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
Samples
118.0ms255×0valid
1.0ms1×1valid
Compiler

Compiled 242 to 41 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 34.0ms (35.3% of total)
ival-sub: 19.0ms (19.7% of total)
ival-add: 10.0ms (10.4% of total)
ival-div: 7.0ms (7.3% of total)
const: 6.0ms (6.2% of total)
ival-pow: 6.0ms (6.2% of total)
ival-sin: 6.0ms (6.2% of total)
ival-cos: 5.0ms (5.2% of total)
ival-neg: 2.0ms (2.1% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-5.5MiB live, 41.1MiB allocated; 2ms collecting garbage
Counts
20 → 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)))) (*.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 #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
6.0ms
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 (- e -1)) (/ (* 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 (- e -1)) (/ (* 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 (- e -1)) (/ (* 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 (- e -1)) (/ (* 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 (- e -1)) (/ (* 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))

simplify187.0ms (3.5%)

Memory
25.3MiB live, 205.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05523698
115693524
258203389
084823244
Stop Event
1×iter limit
1×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))

rewrite89.0ms (1.7%)

Memory
-22.4MiB live, 65.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048301
070292
1238279
01808269
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
20 → 120
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)))) (*.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 #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)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
(*.f64 #s(approx (/ e (- e -1)) e) v)
(*.f64 v #s(approx (/ e (- e -1)) e))
#s(approx (/ e (- e -1)) e)
#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)))

eval38.0ms (0.7%)

Memory
7.6MiB live, 63.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 278 to 1 138 computations (86.3% saved)

prune26.0ms (0.5%)

Memory
3.3MiB live, 49.7MiB allocated; 5ms collecting garbage
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New2128220
Fresh01313
Picked325
Done066
Total21529244
Accuracy
99.9%
Counts
244 → 29
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)))
54.2%
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
99.2%
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
98.6%
#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)))
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))))
98.8%
#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)))))
✓97.1%
#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))))
52.1%
#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))))
67.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos 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))))
32.4%
#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)))))
54.1%
#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))
✓98.6%
#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))
✓98.1%
#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))
98.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
✓97.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
53.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.6%
#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))
✓52.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) e) v))
53.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (neg.f64 v) e v)) e))
52.3%
#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))
52.3%
#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))
52.3%
#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))
54.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (+ (/ 1 e) (cos v))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
✓2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
2.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
✓4.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) v))
51.5%
#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)))
51.5%
#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 1 790 to 761 computations (57.5% saved)

regimes35.0ms (0.7%)

Memory
-0.3MiB live, 44.3MiB allocated; 7ms collecting garbage
Counts
38 → 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #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))
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#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 (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 #s(literal 1 binary64) e) 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)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.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 (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 (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))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ (* (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)))
(/.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 (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 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 -1/2 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 (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)) (*.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 (/.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))))
#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:

14.0ms
e
10.0ms
v
9.0ms
(/.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)

regimes28.0ms (0.5%)

Memory
-6.8MiB live, 38.6MiB allocated; 6ms 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #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))
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#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 (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 #s(literal 1 binary64) e) 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)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.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 (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 (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))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos 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 (/ (* (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)))
Outputs
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
Calls

3 calls:

12.0ms
e
8.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.2%1e
99.2%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.6%)

Memory
-23.0MiB live, 36.1MiB allocated; 15ms collecting garbage
Counts
24 → 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #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))
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#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 (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 #s(literal 1 binary64) e) 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)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.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 (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 (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))
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:

17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
6.0ms
v
6.0ms
e
Results
AccuracySegmentsBranch
98.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.1%1e
98.1%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes20.0ms (0.4%)

Memory
32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Counts
23 → 2
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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #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))
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#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 (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 #s(literal 1 binary64) e) 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)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.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 (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 (sin.f64 v) e))
Outputs
#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 (sin.f64 v) e))
Calls

3 calls:

6.0ms
v
6.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.3%1e
99.2%2v
97.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.4%)

Memory
-13.4MiB live, 32.3MiB allocated; 5ms collecting garbage
Counts
22 → 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #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))
(/.f64 (*.f64 e #s(approx (sin v) v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) e)))
#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 (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 #s(literal 1 binary64) e) 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)))) (*.f64 (/.f64 (*.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.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 (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))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
Calls

3 calls:

10.0ms
v
6.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.2%1e
54.2%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
10 → 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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)) (fma.f64 (neg.f64 v) 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)))) (*.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 #s(approx (/ e (- e -1)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (neg.f64 v) e v)) e))
Calls

3 calls:

3.0ms
v
3.0ms
e
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
53.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
53.0%1v
53.0%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-33.0MiB live, 12.3MiB allocated; 6ms 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)))) #s(approx (* (/ e (- e -1)) v) #s(approx (- v (/ v e)) (/.f64 (neg.f64 v) e))))
#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))
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:

6.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
53.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
53.0%1v
53.0%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

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

3 calls:

2.0ms
e
2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
52.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.2%1v
52.2%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB 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
e
1.0ms
v
Results
AccuracySegmentsBranch
4.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.9%1v
4.9%1e
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
2.0ms
1.9289587987775936e-16
2.6386166955137035e-11
Samples
1.0ms16×0valid
Compiler

Compiled 49 to 42 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify48.0ms (0.9%)

Memory
-10.1MiB live, 35.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053211
182208
2125208
3239208
4770208
53828208
Stop Event
1×node 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) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
#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))
(if (<=.f64 v #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #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 (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 (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (neg.f64 v) e v)) e))
#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)))
(*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(approx (* e (cos v)) e) #s(literal -1 binary64))))
#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))
(if (<=.f64 v #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #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 (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 (* (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (neg.f64 v) e v)) e))
#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))

derivations329.0ms (6.2%)

Memory
22.9MiB live, 212.8MiB allocated; 25ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 211 to 55 computations (73.9% saved)

preprocess38.0ms (0.7%)

Memory
4.0MiB live, 57.5MiB allocated; 4ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 464 to 144 computations (69% saved)

end0.0ms (0%)

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

Profiling

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