Trigonometry A

Time bar (total: 8.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (16.4%)

Memory
0.7MiB live, 1 315.0MiB allocated
Samples
960.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
ival-sin: 233.0ms (31.5% of total)
ival-cos: 217.0ms (29.3% of total)
ival-mult: 107.0ms (14.5% of total)
ival-add: 58.0ms (7.8% of total)
ival-div: 51.0ms (6.9% of total)
ival-<=: 48.0ms (6.5% of total)
ival-and: 12.0ms (1.6% of total)
exact: 11.0ms (1.5% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain116.0ms (1.4%)

Memory
-7.2MiB live, 163.9MiB allocated
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
54.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-cos: 14.0ms (36% of total)
ival-sin: 12.0ms (30.8% of total)
ival-mult: 7.0ms (18% of total)
ival-div: 3.0ms (7.7% of total)
ival-add: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess72.0ms (0.9%)

Memory
5.5MiB live, 44.4MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563
16457
215255
340255
4100055
5154855
6172355
7187455
8203055
9244555
10254055
11260155
12265355
13265855
0911
01511
12211
22511
32611
02610
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
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 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
1×egg-herbie
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-diff128
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Rules
16×lower-*.f32
12×lower-*.f64
8×*-commutative
6×lower-/.f32
4×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01532
12232
22532
32632
02630
Stop Event
1×iter limit
1×saturated
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 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)

localize42.0ms (0.5%)

Memory
7.9MiB live, 48.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 v)
accuracy0.01171875
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.0859375
(*.f64 e (sin.f64 v))
accuracy0.10546875
(*.f64 e (cos.f64 v))
Samples
25.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (35.2% of total)
ival-cos: 5.0ms (29.3% of total)
ival-mult: 3.0ms (17.6% of total)
ival-div: 2.0ms (11.7% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-24.9MiB live, 13.9MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
Calls

27 calls:

TimeVariablePointExpression
2.0ms
v
@-inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
2.0ms
v
@0
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(* e (sin v))
1.0ms
v
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(+ 1 (* e (cos v)))

simplify317.0ms (3.9%)

Memory
11.7MiB live, 360.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
6 122×lower-*.f64
6 122×lower-*.f32
3 736×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821153
15541138
215821106
352551024
08371956
Stop Event
1×iter limit
1×node limit
Counts
108 → 106
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -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)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ (* 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))))
(/ (* 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))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 e (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e e) e))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e (cos.f64 v))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 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)))))
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 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)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* 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))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* 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))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))

rewrite282.0ms (3.4%)

Memory
25.8MiB live, 461.0MiB allocated
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01527
14227
224127
3209727
0837025
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 344
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))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))

eval68.0ms (0.8%)

Memory
-17.3MiB live, 102.6MiB allocated
Compiler

Compiled 13 419 to 1 236 computations (90.8% saved)

prune89.0ms (1.1%)

Memory
2.6MiB live, 118.4MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43812450
Fresh000
Picked101
Done000
Total43912451
Accuracy
99.9%
Counts
451 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶99.9%
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
▶59.7%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
99.5%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
71.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
99.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Compiler

Compiled 396 to 240 computations (39.4% saved)

simplify224.0ms (2.7%)

Memory
10.2MiB live, 285.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) 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)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
cost-diff320
(fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 e (+.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
cost-diff0
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
cost-diff128
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))
cost-diff128
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
Rules
10 054×lower-fma.f32
10 044×lower-fma.f64
4 238×lower-*.f32
4 216×lower-*.f64
1 388×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045353
079351
1147346
2349346
31002346
42441346
53308346
65250346
08435335
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
e
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))
(cos.f64 (+.f64 v v))
(+.f64 v v)
(neg.f64 (*.f64 e e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))
#s(literal 1 binary64)
#s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)
(*.f64 v v)
(fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(literal -1/2 binary64)
(*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 e (*.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
e
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))
(fma.f64 (*.f64 e e) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))
(cos.f64 (+.f64 v v))
(+.f64 v v)
(neg.f64 (*.f64 e e))
(*.f64 e (neg.f64 e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e)))
#s(literal 1 binary64)
#s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
#s(approx (* e (cos v)) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e)
(*.f64 v v)
(fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(*.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(*.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(*.f64 e (*.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)

localize144.0ms (1.8%)

Memory
22.3MiB live, 259.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 v)
accuracy0.00390625
(sin.f64 v)
accuracy0.01171875
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy0.0859375
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
accuracy0.0859375
(*.f64 e (sin.f64 v))
accuracy0.2994899940243708
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy5.993336522960575
(*.f64 e (*.f64 v v))
accuracy28.921793564800026
#s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
accuracy0.00390625
(sin.f64 v)
accuracy0.0859375
(*.f64 e (sin.f64 v))
accuracy1.1359255157492814
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
accuracy0
(+.f64 #s(literal 1 binary64) e)
accuracy0.015625
(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy0.015625
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
accuracy28.91418114177903
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
accuracy0.0078125
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.0859375
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
accuracy0.10546875
(*.f64 e (cos.f64 v))
accuracy0.3040447255102347
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
Samples
93.0ms256×0valid
Compiler

Compiled 291 to 42 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 22.0ms (32.1% of total)
ival-add: 12.0ms (17.5% of total)
ival-cos: 11.0ms (16.1% of total)
const: 8.0ms (11.7% of total)
ival-div: 6.0ms (8.8% of total)
ival-sin: 6.0ms (8.8% of total)
ival-sub: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-10.9MiB live, 64.2MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))>
#<alt (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))>
#<alt (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))>
#<alt (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))>
#<alt (/.f64 e (+.f64 #s(literal 1 binary64) e))>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))>
#<alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)>
#<alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 e (cos.f64 v))>
#<alt (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))>
#<alt (*.f64 e (*.f64 v v))>
#<alt (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))>
#<alt (cos.f64 v)>
Outputs
#<alt (/ (* e (* v (- 1 e))) (+ 1 (* -1 (pow e 2))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (+ 1 (* -1 (pow e 2)))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))>
#<alt (/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ 1 (* -1 (pow e 2)))>
#<alt (+ 1 (+ (* -1 (pow e 2)) (* (pow e 2) (pow v 2))))>
#<alt (+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/3 (* (pow e 2) (pow v 2))) (pow e 2)))))>
#<alt (+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* (pow v 2) (+ (* -1/3 (pow e 2)) (* 2/45 (* (pow e 2) (pow v 2))))) (pow e 2)))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (* e (* v (- 1 e)))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))>
#<alt (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))>
#<alt (* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))))))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (* (sin v) (- 1 (* e (cos v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))>
#<alt (* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))>
#<alt (* -1/2 e)>
#<alt (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))>
#<alt (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))>
#<alt (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))>
#<alt (* -1/720 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))>
#<alt (* -1/720 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (- 1 e))>
#<alt (+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (- 1 e)))>
#<alt (+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))>
#<alt (+ (* e (- 1 e)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (- 1 (* e (cos v))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt 1/24>
#<alt (+ 1/24 (* -1/720 (pow v 2)))>
#<alt (+ 1/24 (* -1/720 (pow v 2)))>
#<alt (+ 1/24 (* -1/720 (pow v 2)))>
#<alt (* -1/720 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt (* -1/720 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt (* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

114 calls:

TimeVariablePointExpression
5.0ms
v
@inf
(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
4.0ms
v
@0
(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
3.0ms
e
@-inf
(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
2.0ms
v
@-inf
(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
2.0ms
e
@0
(* e (* v v))

simplify306.0ms (3.7%)

Memory
17.6MiB live, 385.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 744×lower-fma.f64
11 744×lower-fma.f32
7 014×lower-*.f64
7 014×lower-*.f32
3 668×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05607058
117946815
257356764
082536390
Stop Event
1×iter limit
1×node limit
Counts
456 → 447
Calls
Call 1
Inputs
(/ (* e (* v (- 1 e))) (+ 1 (* -1 (pow e 2))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
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(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
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(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
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(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
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(+ 1 (* -1 (pow e 2)))
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(+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/3 (* (pow e 2) (pow v 2))) (pow e 2)))))
(+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* (pow v 2) (+ (* -1/3 (pow e 2)) (* 2/45 (* (pow e 2) (pow v 2))))) (pow e 2)))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
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(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
1
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))
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(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
1
(+ 1 (* -1 (pow v 2)))
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(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
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(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))))))))
(* e (* (sin v) (- 1 (* e (cos v)))))
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(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(/ (sin v) (cos v))
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(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
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(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
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e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
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(/ (sin v) (cos v))
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(/ (* e v) (+ 1 e))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
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(* e (sin v))
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(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
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(* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))
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(* -1/2 e)
(+ (* -1/2 e) (* 1/24 (* e (pow v 2))))
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(* -1/720 (* e (pow v 4)))
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(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* -1/720 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(+ (* -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)))
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(/ (* 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))))
(/ (* 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))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ (* 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))))
(/ (* 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))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -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)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* e (- 1 e))
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (- 1 e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (- 1 (* e (cos v))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
1/24
(+ 1/24 (* -1/720 (pow v 2)))
(+ 1/24 (* -1/720 (pow v 2)))
(+ 1/24 (* -1/720 (pow v 2)))
(* -1/720 (pow v 2))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(* -1/720 (pow v 2))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(/ (* e (* v (- 1 e))) (+ 1 (* -1 (pow e 2))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (+ 1 (* -1 (pow e 2)))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
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(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
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(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e (*.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) (neg.f64 e))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/24 binary64) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/24 binary64) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) (*.f64 e #s(literal -1/2 binary64))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 e))
(-.f64 e (*.f64 e e))
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (- 1 e)))
(fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 #s(literal 1/2 binary64) (*.f64 e (*.f64 e (*.f64 v v)))))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 e (*.f64 e (*.f64 v v))) (*.f64 (*.f64 e e) #s(literal 1/2 binary64))) v) v (-.f64 e (*.f64 e e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))
(fma.f64 (*.f64 v v) (fma.f64 e (*.f64 e #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (fma.f64 e (*.f64 e #s(literal -1/24 binary64)) (*.f64 #s(literal 1/720 binary64) (*.f64 e (*.f64 e (*.f64 v v))))))) (-.f64 e (*.f64 e e)))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (- 1 (* e (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/24 binary64) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) (*.f64 e #s(literal -1/2 binary64))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
(* e (pow v 2))
(*.f64 e (*.f64 v v))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(+ 1/24 (* -1/720 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(* -1/720 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/720 binary64))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
(* -1/720 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/720 binary64))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/24 (/ 1 (pow v 2))) 1/720))
(*.f64 (*.f64 v v) (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

rewrite262.0ms (3.2%)

Memory
-29.0MiB live, 338.4MiB allocated
Rules
4 594×lower-*.f32
4 572×lower-*.f64
4 512×lower-fma.f32
4 502×lower-fma.f64
4 260×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045235
079249
1300204
22237204
08170201
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 635
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
(*.f64 e (*.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(cos.f64 v)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e))))) (/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
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(fma.f64 (*.f64 v #s(literal -1/720 binary64)) v #s(literal 1/24 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64)) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64)) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 v (*.f64 v #s(literal -1/720 binary64))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64)))) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 v v) #s(literal -1/17280 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(cos.f64 v)

eval211.0ms (2.6%)

Memory
22.6MiB live, 246.7MiB allocated
Compiler

Compiled 32 762 to 2 444 computations (92.5% saved)

prune482.0ms (5.9%)

Memory
-145.6MiB live, 319.0MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1 130271 157
Fresh437
Picked325
Done000
Total1 137321 169
Accuracy
99.9%
Counts
1 169 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
59.7%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) #s(approx (+ (* e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (*.f64 (*.f64 v v) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
71.5%
(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
54.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
55.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶99.5%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
▶99.8%
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
54.5%
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
71.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
99.1%
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
53.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
✓98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
53.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
▶53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
▶53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
▶53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
Compiler

Compiled 1 179 to 630 computations (46.6% saved)

simplify256.0ms (3.1%)

Memory
12.2MiB live, 281.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
cost-diff0
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
cost-diff0
#s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
cost-diff0
(*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
cost-diff0
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
cost-diff0
#s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
cost-diff0
(*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
cost-diff0
(*.f64 e v)
cost-diff0
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
Rules
6 760×lower-fma.f32
6 746×lower-fma.f64
3 810×lower-*.f32
3 786×lower-*.f64
1 334×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051389
086379
1150375
2280375
3567375
41049375
51840375
62821375
73851375
84885375
95723375
106284375
116762375
127219375
137273375
147400375
157737375
08086365
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(sin.f64 v)
v
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 v v))
(+.f64 v v)
(*.f64 e e)
e
#s(literal -1 binary64)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
(*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
e
#s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
v
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
(*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)))
e
#s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
v
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 v v)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(sin.f64 v)
v
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
e
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(sin.f64 v)
v
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 (+.f64 v v))
(+.f64 v v)
(*.f64 e e)
e
#s(literal -1 binary64)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 v e)))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
#s(approx (* v (/ e (+ 1 e))) (*.f64 v e))
(*.f64 e v)
(*.f64 v e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v))))
(*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)))
e
#s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
#s(approx (sin v) (fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
(fma.f64 (*.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)
v
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v))))
(*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)))
(*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v)))
e
#s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 (*.f64 v v) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) v)
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
v
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 v v)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(sin.f64 v)
v
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
e
#s(literal 1 binary64)

localize179.0ms (2.2%)

Memory
-0.2MiB live, 267.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 v)
accuracy0.01171875
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
accuracy0.0859375
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
accuracy0.24501405372806614
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
accuracy0.09375
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.2663682242781654
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
accuracy1.1359255157492814
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
accuracy28.92130682741137
#s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
accuracy0.140625
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
accuracy0.33203125
(*.f64 v #s(literal -1/6 binary64))
accuracy1.1359255157492814
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
accuracy29.154917386696233
#s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
accuracy0
(*.f64 e v)
accuracy1.1407335988355503
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
accuracy28.91418114177903
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
accuracy0.00390625
(sin.f64 v)
accuracy0.0078125
(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
accuracy0.0859375
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
accuracy0.3040447255102347
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
Samples
99.0ms256×0valid
Compiler

Compiled 289 to 48 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 30.0ms (38.5% of total)
ival-add: 14.0ms (18% of total)
ival-cos: 10.0ms (12.8% of total)
const: 9.0ms (11.6% of total)
ival-div: 7.0ms (9% of total)
ival-sin: 7.0ms (9% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
30.9MiB live, 67.9MiB allocated
Counts
23 → 432
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)>
#<alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))>
#<alt (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))>
#<alt (sin.f64 v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))>
#<alt #s(approx (* v (/ e (+ 1 e))) (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))>
#<alt (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))>
#<alt #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))>
#<alt (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))>
#<alt (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)))>
#<alt #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))>
#<alt (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)>
#<alt (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)>
#<alt (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))>
#<alt #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (*.f64 v (*.f64 v #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))>
Outputs
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))>
#<alt (* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))>
#<alt (- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))>
#<alt (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))>
#<alt (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))>
#<alt (/ (* v (- e 1)) (- (pow e 2) 1))>
#<alt (* v (- (+ (* (pow v 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (* -1/6 (/ (- e 1) (- (pow e 2) 1)))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))) (/ 1 (- (pow e 2) 1))))>
#<alt (* v (- (+ (* (pow v 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (+ (* -1/6 (/ (- e 1) (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ (- e 1) (- (pow e 2) 1))) (+ (* 1/24 (/ e (- (pow e 2) 1))) (* 1/12 (/ e (- (pow e 2) 1))))) (+ (* -1 (/ (* (pow e 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (* -1/6 (/ (- e 1) (- (pow e 2) 1)))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2)))))))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))) (/ 1 (- (pow e 2) 1))))>
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#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* -1/5040 (pow v 7))>
#<alt (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))>
#<alt (* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))>
#<alt (* -1/5040 (pow v 7))>
#<alt (* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 v))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (* -1/5040 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* -1/5040 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* 1/120 v)>
#<alt (* v (+ 1/120 (* -1/5040 (pow v 2))))>
#<alt (* v (+ 1/120 (* -1/5040 (pow v 2))))>
#<alt (* v (+ 1/120 (* -1/5040 (pow v 2))))>
#<alt (* -1/5040 (pow v 3))>
#<alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* -1/5040 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))>
Calls

108 calls:

TimeVariablePointExpression
7.0ms
v
@-inf
(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)
4.0ms
v
@0
(/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1))
2.0ms
v
@0
(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)
2.0ms
v
@0
(* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1))
1.0ms
v
@inf
(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)

simplify290.0ms (3.5%)

Memory
-8.4MiB live, 499.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 984×lower-fma.f64
8 984×lower-fma.f32
6 866×lower-*.f64
6 866×lower-*.f32
3 420×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06428064
120027827
265087805
080387262
Stop Event
1×iter limit
1×node limit
Counts
432 → 425
Calls
Call 1
Inputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
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(* e v)
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(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
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v
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(* -1/5040 (pow v 7))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
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(/ (* e v) (+ 1 e))
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(* 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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(sin v)
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(/ (sin v) (* e (cos v)))
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(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
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(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
1
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(* -1/6 (pow v 2))
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(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
1/120
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(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(* -1/5040 (pow v 2))
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(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
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(* v (+ 1/120 (* -1/5040 (pow v 2))))
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(* -1/5040 (pow v 3))
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(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
Outputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
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(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (neg.f64 e))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 e (*.f64 v v)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 e (*.f64 v v)))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* -1/5040 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 v (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* 1/120 v)
(*.f64 v #s(literal 1/120 binary64))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* -1/5040 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(*.f64 (*.f64 v v) (*.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* -1/5040 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 v v)))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(*.f64 (*.f64 v (*.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 v v)))))

rewrite342.0ms (4.2%)

Memory
4.4MiB live, 476.5MiB allocated
Rules
5 330×lower-fma.f32
5 316×lower-fma.f64
4 438×lower-*.f32
4 414×lower-*.f64
4 402×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051319
086311
1306276
22214276
08643264
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 493
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
(*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
#s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
(*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)))
#s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
(*.f64 v #s(literal -1/6 binary64))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
Outputs
(+.f64 (*.f64 e (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) (*.f64 e (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) e) (*.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) e))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 e (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (*.f64 e (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) e (*.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) e))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64))) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (-.f64 (*.f64 (*.f64 v #s(literal 1/120 binary64)) (*.f64 v #s(literal 1/120 binary64))) (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 v #s(literal 1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 (*.f64 v #s(literal 1/120 binary64)) (*.f64 v #s(literal 1/120 binary64))))) (neg.f64 (-.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 v #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (*.f64 v (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 (neg.f64 (*.f64 v (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) v)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v (*.f64 v v)) v) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) v)) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) #s(literal 1/1728000 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/128024064000 binary64))))) (fma.f64 (*.f64 v #s(literal 1/120 binary64)) (*.f64 v #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 (*.f64 v #s(literal 1/120 binary64)) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))))
(*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) v)

eval134.0ms (1.6%)

Memory
13.2MiB live, 281.8MiB allocated
Compiler

Compiled 29 189 to 2 351 computations (91.9% saved)

prune134.0ms (1.6%)

Memory
-13.1MiB live, 284.3MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New91713930
Fresh52025
Picked235
Done022
Total92438962
Accuracy
100.0%
Counts
962 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
71.5%
(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
54.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
55.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
99.3%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
▶98.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
93.7%
(*.f64 (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)))) e)
69.8%
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))))) e)
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓99.5%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
▶99.6%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
22.5%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
71.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
99.1%
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
53.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
✓98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
53.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
✓53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
47.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
30.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
▶54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
✓53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
▶53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
54.8%
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
Compiler

Compiled 1 621 to 750 computations (53.7% saved)

simplify183.0ms (2.2%)

Memory
32.6MiB live, 285.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
cost-diff0
(*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
cost-diff128
(-.f64 (*.f64 e e) #s(literal 1 binary64))
cost-diff1088
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
cost-diff0
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
cost-diff0
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
cost-diff0
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
cost-diff0
(-.f64 v (*.f64 e v))
cost-diff0
(*.f64 e (-.f64 v (*.f64 e v)))
cost-diff0
#s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
cost-diff960
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
Rules
8 112×lower-fma.f32
8 110×lower-fma.f64
4 564×lower-*.f32
4 544×lower-*.f64
1 760×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047339
073336
1130336
2243318
3567304
41076298
54178298
08232281
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
(sin.f64 v)
v
#s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(cos.f64 v)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
v
(/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
e
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
(-.f64 (*.f64 e e) #s(literal 1 binary64))
(*.f64 e e)
#s(literal 1 binary64)
(-.f64 e #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
e
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
Outputs
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(sin.f64 v)
v
#s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))
#s(approx (+ (* e (cos v)) 1) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(cos.f64 v)
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 v (fma.f64 e (neg.f64 e) e))))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))
#s(approx (* v (/ e (+ 1 e))) (*.f64 v (fma.f64 e (neg.f64 e) e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (fma.f64 e (neg.f64 e) e))
e
(-.f64 v (*.f64 e v))
(-.f64 v (*.f64 v e))
v
(*.f64 e v)
(*.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
#s(approx (* e (sin v)) (*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
v
(/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 (*.f64 e e) #s(literal 1 binary64))
(fma.f64 e e #s(literal -1 binary64))
(*.f64 e e)
#s(literal 1 binary64)
(-.f64 e #s(literal 1 binary64))
(+.f64 e #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
e
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v

localize151.0ms (1.8%)

Memory
-13.6MiB live, 276.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0859375
(*.f64 (sin.f64 v) e)
accuracy0.1875
(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
accuracy0.24501405372806614
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
accuracy0.8030450504803075
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
accuracy0.015625
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
accuracy0.015625
(/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
accuracy0.015625
(*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
accuracy28.91418114177903
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
accuracy0.25
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
accuracy1.1359255157492814
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
accuracy6.181573705450807
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
accuracy29.100634743873194
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
accuracy0
(*.f64 e v)
accuracy0.0078125
(*.f64 e (-.f64 v (*.f64 e v)))
accuracy0.5144310993156538
#s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))
accuracy28.91418114177903
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
accuracy0.00390625
(sin.f64 v)
accuracy0.01171875
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
accuracy0.0859375
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
accuracy0.19140625
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
Samples
88.0ms256×0valid
Compiler

Compiled 236 to 41 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 28.0ms (41.4% of total)
ival-div: 12.0ms (17.7% of total)
ival-add: 6.0ms (8.9% of total)
ival-sin: 6.0ms (8.9% of total)
ival-sub: 5.0ms (7.4% of total)
ival-cos: 5.0ms (7.4% of total)
const: 4.0ms (5.9% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
14.0MiB live, 52.4MiB allocated
Counts
24 → 504
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))>
#<alt (*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)>
#<alt (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))>
#<alt (sin.f64 v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))>
#<alt #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))>
#<alt (*.f64 e (-.f64 v (*.f64 e v)))>
#<alt (-.f64 v (*.f64 e v))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))>
#<alt #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))>
#<alt (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))>
#<alt (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)>
#<alt (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 e e) #s(literal 1 binary64))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))>
#<alt (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))>
#<alt (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))>
#<alt #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (*.f64 e v)>
#<alt (*.f64 (*.f64 v v) #s(literal -1/6 binary64))>
#<alt (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))>
#<alt (*.f64 (sin.f64 v) e)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))>
#<alt (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ v (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
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#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
Calls

126 calls:

TimeVariablePointExpression
1.0ms
v
@0
(* v (/ e (/ (- (* e e) 1) (- e 1))))
1.0ms
v
@inf
(* v (/ e (/ (- (* e e) 1) (- e 1))))
1.0ms
v
@0
(/ (+ (* e (cos v)) 1) (* (sin v) e))
1.0ms
e
@-inf
(/ (+ (* e (cos v)) 1) (* (sin v) e))
1.0ms
e
@0
(* v (+ (* e (* (* v v) -1/6)) e))

simplify290.0ms (3.5%)

Memory
5.1MiB live, 525.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 040×lower-fma.f64
11 040×lower-fma.f32
7 268×lower-*.f64
7 268×lower-*.f32
4 244×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04156662
113176360
238496333
089355988
Stop Event
1×iter limit
1×node limit
Counts
504 → 492
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ (* 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))))
(/ (* 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))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -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)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -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)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ (* 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))))
(/ (* 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))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
v
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(* -1 (* e v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* -1 (* e v))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -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)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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))))
(* 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))))
(/ (* 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))))
(/ (* 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))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
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Outputs
1
#s(literal 1 binary64)
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(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
e
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(* e (+ 1 (* e (- e 1))))
(fma.f64 e (-.f64 (*.f64 e e) e) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(fma.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e)) e))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/6 binary64) (*.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/120 binary64) (*.f64 (*.f64 e (*.f64 v v)) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64)))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))

rewrite242.0ms (3%)

Memory
-23.9MiB live, 486.6MiB allocated
Rules
4 842×lower-/.f32
4 830×lower-/.f64
4 038×lower-fma.f32
4 036×lower-fma.f64
3 564×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047285
073261
1269259
21880256
08595247
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 780
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v))))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (*.f64 e v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
(-.f64 (*.f64 e e) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(*.f64 e v)
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) e)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))
(-.f64 #s(literal 0 binary64) (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(neg.f64 (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 e))))
(/.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(/.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 e)) (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 e)) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 e))) (neg.f64 (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 e))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (*.f64 #s(literal 0 binary64) (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e))))
(*.f64 #s(literal -1 binary64) (*.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) e)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64)) e)
(*.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(*.f64 (*.f64 (neg.f64 e) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e e))) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))) (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (*.f64 e (sin.f64 v)))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (sin.f64 v)))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (sin.f64 v)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(*.f64 (sin.f64 v) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))) e))
(*.f64 (sin.f64 v) (/.f64 e #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))) e)
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(*.f64 (neg.f64 (*.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))) (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))))))
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(-.f64 (/.f64 (*.f64 e e) (fma.f64 e e #s(literal -1 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(fma.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(fma.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (-.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))) (*.f64 e (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e (+.f64 e #s(literal 1 binary64)))) (*.f64 e (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) e))
(/.f64 (-.f64 (*.f64 e e) e) (fma.f64 e e #s(literal -1 binary64)))
(/.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (fma.f64 e e #s(literal -1 binary64))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e (+.f64 e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e))))
(/.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e e (+.f64 e #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 e e) e)) (neg.f64 (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 e (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e e #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (neg.f64 (fma.f64 e e (+.f64 e #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) (-.f64 (*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (-.f64 (*.f64 (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)) (*.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e)) (*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) e) (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64))))) (*.f64 (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64)))))) (-.f64 (*.f64 e (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))))))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(*.f64 e (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) e) (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 e e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) e)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e))
(*.f64 (*.f64 e (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64)))))
(*.f64 (*.f64 e (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e e (+.f64 e #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e (+.f64 e #s(literal 1 binary64)))))
(*.f64 (/.f64 e (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) (+.f64 (neg.f64 e) #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))

eval178.0ms (2.2%)

Memory
25.0MiB live, 419.2MiB allocated
Compiler

Compiled 28 224 to 2 888 computations (89.8% saved)

prune175.0ms (2.1%)

Memory
-26.9MiB live, 424.9MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New1 267211 288
Fresh131528
Picked325
Done055
Total1 283431 326
Accuracy
100.0%
Counts
1 326 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.9%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
75.6%
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
54.3%
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
71.5%
(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
55.4%
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
99.3%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
53.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
54.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
69.8%
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))))) e)
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓99.5%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
✓99.6%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
22.5%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
71.4%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
99.1%
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
54.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
50.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
54.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
54.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
✓98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
53.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
✓53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
30.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
9.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
43.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
43.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
43.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
48.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
✓54.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
22.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
48.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
32.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
✓53.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
53.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
Compiler

Compiled 2 250 to 702 computations (68.8% saved)

regimes64.0ms (0.8%)

Memory
9.6MiB live, 127.5MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) #s(approx (+ (* e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (*.f64 (*.f64 v v) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(*.f64 (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v)))) e)
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))))))) e)
Outputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
Calls

3 calls:

21.0ms
v
20.0ms
e
19.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.9%1e
99.9%1v
99.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (0.7%)

Memory
2.9MiB live, 121.7MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) #s(approx (+ (* e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (*.f64 (*.f64 v v) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
Calls

3 calls:

20.0ms
e
19.0ms
v
18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.7%)

Memory
3.5MiB live, 119.9MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) #s(approx (+ (* e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (*.f64 (*.f64 v v) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

18.0ms
e
18.0ms
v
17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.6%)

Memory
14.6MiB live, 95.1MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) #s(approx (+ (* e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (*.f64 (*.f64 v v) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
16.0ms
e
15.0ms
v
Results
AccuracySegmentsBranch
99.5%1e
99.5%1v
99.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.6%)

Memory
-30.9MiB live, 90.6MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
Calls

3 calls:

14.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
13.0ms
e
Results
AccuracySegmentsBranch
99.5%1e
99.5%1v
99.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes42.0ms (0.5%)

Memory
15.3MiB live, 93.5MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Calls

3 calls:

14.0ms
v
13.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.1%1e
98.1%1v
98.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes42.0ms (0.5%)

Memory
4.2MiB live, 84.6MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (*.f64 v v))) (-.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 (*.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (*.f64 e (*.f64 v (*.f64 e v))) (*.f64 (*.f64 (neg.f64 (*.f64 e v)) e) (*.f64 (neg.f64 (*.f64 e v)) e))) (-.f64 (*.f64 e v) (*.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 #s(approx (/ (sin v) (+ (* e (cos v)) 1)) (fma.f64 v (*.f64 (*.f64 v (neg.f64 v)) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
(/.f64 (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 v (fma.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)) (*.f64 e #s(literal -1/6 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
Outputs
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
Calls

3 calls:

14.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
55.4%1e
55.4%1v
55.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes34.0ms (0.4%)

Memory
-1.0MiB live, 76.6MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) (*.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

11.0ms
v
11.0ms
e
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.8%1v
54.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.8%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes25.0ms (0.3%)

Memory
17.8MiB live, 56.4MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) #s(approx (+ (* v (* v (* v -1/6))) v) (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e) (*.f64 (*.f64 e v) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (/.f64 #s(approx (- (* e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

9.0ms
e
8.0ms
v
7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.8%1v
54.8%1e
54.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes16.0ms (0.2%)

Memory
-11.3MiB live, 29.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
54.8%1v
54.8%1e
54.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory
-10.9MiB live, 28.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
Calls

3 calls:

4.0ms
e
3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.5%1v
54.5%1e
54.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e #s(approx (- v (* e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (/ (- (* e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
54.2%1v
54.2%1e
54.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
-24.8MiB live, 14.4MiB allocated
Accuracy

Total -14.5b remaining (-48.6%)

Threshold costs -14.5b (-48.6%)

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

3 calls:

2.0ms
e
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
Results
AccuracySegmentsBranch
53.4%1v
53.4%1e
53.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify10.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Algorithm
1×egg-herbie
Rules
44×*-commutative_binary64
28×+-commutative_binary64
22×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083284
1124284
2148284
3159284
4165284
5166284
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
Outputs
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e (neg.f64 e)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(*.f64 e (*.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 e (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (fma.f64 e (-.f64 (*.f64 v e) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e (-.f64 v (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 v e)))

soundness961.0ms (11.7%)

Memory
-4.7MiB live, 950.0MiB allocated
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
11 744×lower-fma.f64
11 744×lower-fma.f32
8 984×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06428064
120027827
265087805
080387262
0927
01527
14227
224127
3209727
0837025
05607058
117946815
257356764
082536390
045235
079249
1300204
22237204
08170201
01821153
15541138
215821106
352551024
08371956
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 434 to 208 computations (52.1% saved)

preprocess133.0ms (1.6%)

Memory
16.3MiB live, 252.0MiB allocated
Remove

(negabs v)

Compiler

Compiled 1 034 to 566 computations (45.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...