Trigonometry A

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.4s (18%)

Memory
-123.8MiB live, 2 869.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 660.0ms
ival-sin: 213.0ms (32.3% of total)
ival-cos: 165.0ms (25% of total)
ival-mult: 107.0ms (16.2% of total)
ival-<=: 51.0ms (7.7% of total)
ival-add: 49.0ms (7.4% of total)
ival-div: 48.0ms (7.3% of total)
ival-and: 12.0ms (1.8% of total)
exact: 12.0ms (1.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain127.0ms (1.6%)

Memory
0.5MiB live, 328.8MiB 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
59.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-cos: 13.0ms (29.7% of total)
ival-sin: 13.0ms (29.7% of total)
ival-mult: 11.0ms (25.1% of total)
ival-div: 3.0ms (6.9% of total)
ival-add: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess73.0ms (0.9%)

Memory
12.7MiB live, 51.5MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
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
2.2MiB live, 2.2MiB 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)

simplify6.0ms (0.1%)

Memory
-32.9MiB live, 10.0MiB allocated
Algorithm
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
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

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

localize38.0ms (0.5%)

Memory
21.0MiB live, 99.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sin.f64 v)
accuracy0.01953125
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.10546875
(*.f64 e (sin.f64 v))
accuracy0.140625
(*.f64 e (cos.f64 v))
Samples
31.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 10.0ms (45.7% of total)
ival-sin: 6.0ms (27.4% of total)
ival-mult: 3.0ms (13.7% of total)
ival-div: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
0.8MiB live, 39.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* -1/2 (* e (pow v 2)))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) (taylor 0 v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (patch (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (*.f64 e (cos.f64 v)) (patch (*.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
2.0ms
e
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
1.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))

simplify186.0ms (2.4%)

Memory
8.3MiB live, 322.7MiB allocated
Algorithm
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
352661024
08387956
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(+ 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)))))))
(/ (* 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 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)))))))
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))))
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))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos 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))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos 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))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 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))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ (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)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (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 (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
Outputs
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.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 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64)))))))) (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) e) e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) e) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e #s(literal 1 binary64))) 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 (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (cos.f64 v))) (sin.f64 v)) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (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 (cos.f64 v) e)) #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 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) 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)))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (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 (cos.f64 v) e)) #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 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)))
(+ (* -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 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)

rewrite188.0ms (2.4%)

Memory
-11.7MiB live, 387.0MiB 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
iter limit
node limit
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 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.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))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))) #s(literal -1 binary64)))
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(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))

eval89.0ms (1.1%)

Memory
-13.8MiB live, 210.7MiB allocated
Compiler

Compiled 13 419 to 1 233 computations (90.8% saved)

prune67.0ms (0.9%)

Memory
18.3MiB live, 219.0MiB 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
72.8%
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
20.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.9%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
99.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
48.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
48.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 378 to 232 computations (38.6% saved)

simplify111.0ms (1.4%)

Memory
-20.1MiB live, 99.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 v)
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
cost-diff384
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
cost-diff0
(neg.f64 e)
cost-diff0
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
cost-diff0
(cos.f64 v)
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
Rules
1 544×lower-fma.f32
1 540×lower-fma.f64
1 112×lower-*.f32
1 104×lower-*.f64
708×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026179
042178
170174
2116174
3214174
4483174
5760174
6999174
71268174
81470174
91881174
102622174
113125174
123164174
133191174
143211174
153215174
163215174
03215174
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
v
e
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
e
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
e
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)

localize77.0ms (1%)

Memory
22.0MiB live, 221.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 v)
accuracy0.0078125
(sin.f64 v)
accuracy0.12890625
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy0.16796875
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
accuracy0.0078125
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
accuracy0.0078125
(sin.f64 v)
accuracy0.10546875
(*.f64 (sin.f64 v) e)
accuracy0.39403773614446685
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
accuracy0.0078125
(sin.f64 v)
accuracy0.10546875
(*.f64 (sin.f64 v) e)
accuracy1.111608023191012
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
accuracy0
(+.f64 e #s(literal 1 binary64))
accuracy0.0078125
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy0.0234375
(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy32.86170510125828
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy0.0078125
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
accuracy0.0078125
(sin.f64 v)
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.10546875
(*.f64 (sin.f64 v) e)
Samples
61.0ms256×0valid
Compiler

Compiled 164 to 25 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 13.0ms (28.6% of total)
ival-mult: 11.0ms (24.2% of total)
ival-div: 9.0ms (19.8% of total)
ival-cos: 6.0ms (13.2% of total)
ival-add: 5.0ms (11% of total)
ival-neg: 2.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-28.9MiB live, 93.1MiB allocated
Counts
17 → 348
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())
#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())
#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* e (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e)) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt v (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ v e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (cos v))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
v
@0
((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)))
6.0ms
e
@0
((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)))
3.0ms
v
@-inf
((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)))
3.0ms
v
@inf
((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)))
3.0ms
e
@-inf
((* (/ 1 (+ (* (cos v) e) 1)) (* (sin v) e)) (/ 1 (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)))

simplify184.0ms (2.3%)

Memory
28.0MiB live, 342.0MiB allocated
Algorithm
egg-herbie
Rules
11 796×lower-fma.f64
11 796×lower-fma.f32
6 684×lower-*.f64
6 684×lower-*.f32
4 408×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04505396
114215228
243425131
088324851
Stop Event
iter limit
node limit
Counts
348 → 342
Calls
Call 1
Inputs
(/ (* 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))))
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1
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v
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(* -1 (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (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
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(/ (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 (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(/ (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)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(/ (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 (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
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(/ 1 (+ 1 e))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))
(+ (* 1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))
(fma.f64 (/.f64 (*.f64 (*.f64 v v) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 e e) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e))) (*.f64 #s(literal -1/24 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 2) (pow (+ 1 e) 3))) (* 1/24 (/ e (pow (+ 1 e) 2)))))) (* -1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/720 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 e e)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/720 binary64) e) e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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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(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(/ (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 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e))
(+ (* -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 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e))
(/ (* e (cos v)) (sin v))
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))

rewrite173.0ms (2.2%)

Memory
-20.1MiB live, 382.3MiB allocated
Rules
5 026×lower-fma.f32
5 022×lower-fma.f64
3 940×lower-*.f32
3 932×lower-*.f64
3 042×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026142
042136
1153136
2914134
09216134
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 061
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
Outputs
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (sin.f64 v) e) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (neg.f64 (sin.f64 v)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) #s(literal -1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (neg.f64 (sin.f64 v))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) (fma.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(-.f64 (/.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (neg.f64 (sin.f64 v))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))

eval219.0ms (2.8%)

Memory
-2.6MiB live, 625.0MiB allocated
Compiler

Compiled 39 726 to 2 967 computations (92.5% saved)

prune253.0ms (3.2%)

Memory
16.4MiB live, 787.5MiB allocated
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New1 682291 711
Fresh527
Picked145
Done000
Total1 688351 723
Accuracy
100.0%
Counts
1 723 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
65.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
98.9%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
74.2%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
97.9%
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
72.7%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
49.9%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
49.9%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
48.6%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
96.3%
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
47.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
20.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
42.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
48.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
98.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
Compiler

Compiled 1 049 to 576 computations (45.1% saved)

simplify157.0ms (2%)

Memory
5.5MiB live, 162.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
cost-diff384
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
cost-diff0
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
cost-diff0
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
cost-diff0
(*.f64 v e)
cost-diff0
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Rules
6 710×associate-*r/
5 426×lower-/.f32
5 416×lower-/.f64
4 696×lower-*.f32
4 684×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035224
054219
181219
2106215
3134211
4197211
5235211
6277211
7368211
8464211
9551211
10838211
112664211
123318211
133538211
143564211
153564211
163564211
173605211
183617211
193619211
203629211
213629211
223629211
233629211
243629211
08710207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 v e)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
#s(literal 1 binary64)
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
(*.f64 v e)
(*.f64 e v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
#s(approx (sin v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
#s(literal 1 binary64)
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) e)
e
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)

localize90.0ms (1.1%)

Memory
4.2MiB live, 246.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(sin.f64 v)
accuracy0.01953125
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy0.10546875
(*.f64 e (sin.f64 v))
accuracy0.5706460435420222
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy0.01953125
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
accuracy0.234375
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
accuracy1.1683490902185016
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
accuracy32.86170510125828
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
accuracy0.10546875
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
accuracy0.109375
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy1.111608023191012
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
accuracy33.207762054397655
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
accuracy0
(*.f64 v e)
accuracy1.1267040383388884
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy32.86170510125828
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy0.00390625
(cos.f64 v)
accuracy0.0078125
(sin.f64 v)
accuracy0.02734375
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.09765625
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Samples
72.0ms256×0valid
Compiler

Compiled 165 to 28 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 25.0ms (44.4% of total)
ival-div: 10.0ms (17.7% of total)
ival-sin: 7.0ms (12.4% of total)
ival-add: 5.0ms (8.9% of total)
ival-cos: 5.0ms (8.9% of total)
const: 4.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
2.9MiB live, 81.7MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) (patch #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())
#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())
#s(alt #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) (patch #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) (patch (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
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#s(alt (* e v) (taylor -inf e) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)) #<representation binary64>) () ())) ())
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#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) (patch (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e) #<representation binary64>) () ())) ())
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#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 v) (taylor -inf e) (#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) (patch (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 e #s(literal 1 binary64)) e) (patch (/.f64 (+.f64 e #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(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))) (taylor -inf e) (#s(alt (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (*.f64 e (sin.f64 v)) (patch (*.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
v
@0
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1))
3.0ms
e
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1))
3.0ms
v
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1))
3.0ms
v
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1))
2.0ms
e
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (* (+ (* -1/6 (* v v)) 1) v) (/ 1 (/ (/ (+ e 1) e) v)) (/ (/ (+ e 1) e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ e 1) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (cos v) (+ (* -1/6 (* v v)) 1))

simplify175.0ms (2.2%)

Memory
-8.1MiB live, 347.4MiB allocated
Algorithm
egg-herbie
Rules
10 700×lower-fma.f64
10 700×lower-fma.f32
5 660×lower-*.f64
5 660×lower-*.f32
4 238×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03115508
19465344
227665149
082044860
Stop Event
iter limit
node limit
Counts
408 → 401
Calls
Call 1
Inputs
(/ (* 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))))
(/ 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))))
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))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
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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)))
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(/ (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 (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
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(/ v (+ 1 e))
(/.f64 v (+.f64 #s(literal 1 binary64) e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 (fma.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/24 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/720 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal 1 binary64) e)))) v) v (*.f64 e (fma.f64 (/.f64 (fma.f64 (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e))) v)
v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))) (*.f64 v v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
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(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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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(-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e)) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))
(+ (* -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 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (*.f64 e e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.f64 (sin.f64 v) (cos.f64 v))))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))

rewrite189.0ms (2.4%)

Memory
-17.1MiB live, 420.3MiB allocated
Rules
5 620×lower-*.f32
5 608×lower-*.f64
5 122×lower-fma.f32
5 118×lower-fma.f64
4 984×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035198
054189
1178189
2979185
08621181
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 079
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 v e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e)
#s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(cos.f64 v)
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.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 (/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (*.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1/1296 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v)) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 v v))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) v)) v #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 (*.f64 #s(literal -1/6 binary64) v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 #s(literal -1/6 binary64) v) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))

eval205.0ms (2.6%)

Memory
33.8MiB live, 545.3MiB allocated
Compiler

Compiled 32 265 to 3 392 computations (89.5% saved)

prune404.0ms (5.1%)

Memory
-19.2MiB live, 912.7MiB allocated
Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New1 481161 497
Fresh62026
Picked145
Done044
Total1 488441 532
Accuracy
100.0%
Counts
1 532 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
65.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
98.9%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
48.6%
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
74.2%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
97.9%
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
72.7%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
49.9%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
49.9%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
48.6%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
96.3%
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
99.2%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
46.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
46.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
20.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
42.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
48.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
98.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
47.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
42.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
46.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
46.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
47.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
46.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
25.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
25.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
Compiler

Compiled 1 419 to 747 computations (47.4% saved)

simplify149.0ms (1.9%)

Memory
11.8MiB live, 248.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
cost-diff384
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))
cost-diff384
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))))
cost-diff768
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
cost-diff704
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))
cost-diff0
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)
cost-diff0
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v))
cost-diff0
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
cost-diff0
(-.f64 v (*.f64 v e))
cost-diff0
(*.f64 (-.f64 v (*.f64 v e)) e)
cost-diff0
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
cost-diff0
(sin.f64 v)
cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
15 422×lower-fma.f32
15 404×lower-fma.f64
4 618×lower-+.f32
4 616×lower-+.f64
3 256×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055464
091459
1162433
2323404
31199373
46045355
56944355
08035338
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
v
(*.f64 v e)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)
(*.f64 v v)
v
(*.f64 #s(literal -1/6 binary64) v)
#s(literal -1/6 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
v
(/.f64 #s(literal -1 binary64) e)
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
e
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))))
#s(literal 1/24 binary64)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
(*.f64 v v)
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 e v)) e)))
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 e v)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(*.f64 (-.f64 v (*.f64 e v)) e)
(-.f64 v (*.f64 v e))
(-.f64 v (*.f64 e v))
v
(*.f64 v e)
(*.f64 e v)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)) e))
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)) e)
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v))
#s(approx (sin v) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)
(fma.f64 (*.f64 #s(literal -1/6 binary64) v) (*.f64 v v) v)
(*.f64 v v)
v
(*.f64 #s(literal -1/6 binary64) v)
#s(literal -1/6 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))
(/.f64 (-.f64 e #s(literal -1 binary64)) (*.f64 e v))
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
v
(/.f64 #s(literal -1 binary64) e)
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v)))
e
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64))) v)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(fma.f64 (fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 e #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))))
(fma.f64 #s(literal -1/3 binary64) e (fma.f64 (*.f64 (fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64)) v) v #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))))
(fma.f64 e #s(literal -1/45 binary64) #s(literal 7/360 binary64))
#s(literal 1/24 binary64)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))
(fma.f64 e #s(literal -23/360 binary64) #s(literal 7/360 binary64))
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
(*.f64 v v)
v
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)

localize148.0ms (1.9%)

Memory
-9.6MiB live, 386.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
accuracy0.9765625
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))
accuracy2.5683214823560427
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
accuracy33.0863000251367
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))
accuracy0.0234375
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
accuracy0.31087875976844204
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))
accuracy1.1683490902185016
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))
accuracy32.86170510125828
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
accuracy0.10546875
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)
accuracy0.30859375
(*.f64 #s(literal -1/6 binary64) v)
accuracy1.111608023191012
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
accuracy33.207762054397655
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v))
accuracy0.00390625
(-.f64 v (*.f64 v e))
accuracy0.0078125
(*.f64 (-.f64 v (*.f64 v e)) e)
accuracy0.40952205324836677
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))
accuracy32.86170510125828
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
accuracy0.00390625
(cos.f64 v)
accuracy0.0078125
(sin.f64 v)
accuracy0.02734375
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
accuracy0.27572250976844204
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
114.0ms256×0valid
Compiler

Compiled 365 to 57 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 27.0ms (29.6% of total)
ival-div: 18.0ms (19.7% of total)
const: 16.0ms (17.5% of total)
ival-add: 15.0ms (16.4% of total)
ival-sin: 7.0ms (7.7% of total)
ival-cos: 5.0ms (5.5% of total)
ival-sub: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.7%)

Memory
-14.5MiB live, 145.0MiB allocated
Counts
24 → 480
Calls
Call 1
Inputs
#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())
#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())
#s(alt (-.f64 v (*.f64 v e)) (patch (-.f64 v (*.f64 v e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) (patch (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e) #<representation binary64>) () ())
#s(alt #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) (patch #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) (patch (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) e) v) (patch (/.f64 (-.f64 #s(literal -1 binary64) e) v) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (patch (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) v) (patch (*.f64 #s(literal -1/6 binary64) v) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf e) (#s(alt (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) (patch (/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) (patch #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v)))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
10.0ms
v
@-inf
((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v))
7.0ms
v
@inf
((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v))
4.0ms
e
@-inf
((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v))
4.0ms
v
@0
((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v))
4.0ms
e
@0
((/ (sin v) (/ (+ (* e (cos v)) 1) e)) (sin v) (/ (+ (* e (cos v)) 1) e) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (/ (+ e 1) e) v)) (* (- v (* v e)) e) (- v (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (sin v) (+ (* (* v v) (* -1/6 v)) v) (/ 1 (* (/ (- -1 e) v) (/ -1 e))) (* (/ (- -1 e) v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- -1 e) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120)) (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (cos v) (* -1/6 v) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v))

simplify189.0ms (2.4%)

Memory
5.7MiB live, 365.1MiB allocated
Algorithm
egg-herbie
Rules
8 858×lower-fma.f64
8 858×lower-fma.f32
5 494×lower-*.f64
5 494×lower-*.f32
3 344×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04506392
113556167
241016008
080975658
Stop Event
iter limit
node limit
Counts
480 → 472
Calls
Call 1
Inputs
(/ (* 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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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))))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+ 1 e)
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(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 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))))
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(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
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(* v (- 1 e))
(* v (- 1 e))
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(* 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)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(/ (* e v) (+ 1 e))
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(/ (* e v) (+ 1 e))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
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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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(* 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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1
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(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)))))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (* (pow v 2) (- (+ (* -1/120 e) (+ (* 1/24 e) (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) 1/120)))))))) v)
(/ (* e (sin v)) (+ 1 (* e (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))
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(sin v)
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(* -1/6 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(/ (* e v) (+ 1 e))
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(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 e) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))) 1/120))
(* (pow v 3) (- (+ (* -1/2 (/ e (pow v 2))) (+ (* -1/120 e) (+ (* 1/24 e) (+ (* 1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (+ (* 1/6 (/ e (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (+ (/ 1 (pow v 4)) (/ e (pow v 4))))))))) 1/120))
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(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
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1
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v
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(/ -1 v)
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7/360
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7/360
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1/6
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(/ 1 (sin v))
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(/ (sin v) (cos v))
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(cos v)
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(/ (sin v) (cos v))
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v
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(/ (sin v) (cos v))
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(* e (sin v))
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v
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(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
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(/ (sin v) (cos v))
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(/ (* e (cos v)) (sin v))
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(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v)
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(/ (sin v) (cos v))
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v
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(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(/ (* e (cos v)) (sin v))
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(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))
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(* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)
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(/ (+ 1 e) e)
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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))) (* (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))))
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v
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(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 v v) #s(literal 1/6 binary64)) v (/.f64 #s(literal 1 binary64) v)) e)) (neg.f64 e))

rewrite268.0ms (3.4%)

Memory
27.8MiB live, 460.9MiB allocated
Rules
5 566×lower-*.f32
5 554×lower-*.f64
3 934×lower-fma.f32
3 916×lower-fma.f64
3 348×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055358
091353
1416317
23365317
08460304
Stop Event
iter limit
node limit
iter limit
Counts
24 → 557
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
(*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e)
#s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (-.f64 #s(literal -1 binary64) e) v)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))
(fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64))))
(fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(cos.f64 v)
(*.f64 #s(literal -1/6 binary64) v)
#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
Outputs
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (neg.f64 e))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e))))
(*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(sin.f64 v)
(*.f64 (pow.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(*.f64 (pow.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(pow.f64 (/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (/.f64 #s(literal 1 binary64) e)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64)) e)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (neg.f64 (neg.f64 e)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) e))
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) e))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (*.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (neg.f64 e))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (neg.f64 e)))
(exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (neg.f64 v)))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e)) v))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v))))) v))
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))) (*.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) e) (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) #s(literal 3 binary64))) (*.f64 v (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (-.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) (neg.f64 v))
(/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))) v))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) (neg.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 v (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) v) v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)))

eval205.0ms (2.6%)

Memory
-8.3MiB live, 454.3MiB allocated
Compiler

Compiled 33 105 to 3 014 computations (90.9% saved)

prune243.0ms (3.1%)

Memory
0.4MiB live, 693.6MiB allocated
Pruning

42 alts after pruning (32 fresh and 10 done)

PrunedKeptTotal
New1 058121 070
Fresh112031
Picked325
Done088
Total1 072421 114
Accuracy
100.0%
Counts
1 114 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
65.9%
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
98.9%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
48.6%
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
74.2%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
97.9%
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
72.7%
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
49.8%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
49.8%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
49.9%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
48.6%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
6.0%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
6.0%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
4.3%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
99.2%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
47.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
46.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
46.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
46.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
42.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
48.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
48.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
98.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
98.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
47.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
25.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
48.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
27.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
47.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
47.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
Compiler

Compiled 1 733 to 632 computations (63.5% saved)

regimes67.0ms (0.8%)

Memory
-2.5MiB live, 196.4MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Calls

3 calls:

21.0ms
e
21.0ms
v
21.0ms
(/.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)

regimes54.0ms (0.7%)

Memory
9.1MiB live, 168.9MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Calls

3 calls:

17.0ms
e
17.0ms
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)

regimes54.0ms (0.7%)

Memory
6.3MiB live, 165.6MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
Calls

3 calls:

17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
17.0ms
v
16.0ms
e
Results
AccuracySegmentsBranch
99.2%1e
99.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes52.0ms (0.7%)

Memory
-6.0MiB live, 154.8MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

17.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
16.0ms
e
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
98.9%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)

regimes51.0ms (0.6%)

Memory
-5.5MiB live, 154.6MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

16.0ms
e
16.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
98.9%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)

regimes48.0ms (0.6%)

Memory
23.7MiB live, 143.3MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Calls

3 calls:

15.0ms
e
15.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.6%1v
98.6%1e
98.6%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)

regimes97.0ms (1.2%)

Memory
-29.9MiB live, 127.3MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

33.0ms
v
16.0ms
e
14.0ms
(/.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)

regimes49.0ms (0.6%)

Memory
25.0MiB live, 140.2MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) v) (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) e))
Outputs
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
Calls

3 calls:

17.0ms
e
14.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
49.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.9%1e
49.9%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes45.0ms (0.6%)

Memory
-5.4MiB live, 120.6MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 e e) (neg.f64 e)) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 v v) #s(literal -1/3 binary64)) v) v #s(literal 1 binary64)) e) v))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 v v) #s(literal 1/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (*.f64 #s(literal -1/45 binary64) e)) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64))) (*.f64 v v)) (-.f64 (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)) v))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) #s(literal 1 binary64)) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) #s(literal -1/6 binary64)))))) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (*.f64 #s(literal -1/3 binary64) e)) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
Outputs
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
Calls

3 calls:

15.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
v
Results
AccuracySegmentsBranch
49.9%1v
49.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.9%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (0.4%)

Memory
3.7MiB live, 84.6MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) #s(approx (* (+ (* -1/6 (* v v)) 1) v) (*.f64 (*.f64 (*.f64 v v) v) #s(literal -1/6 binary64)))) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 #s(approx (+ (* -1/6 (* v v)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 v v))) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ e 1) e) v) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (*.f64 (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) (*.f64 e (-.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* (+ (* 1/24 e) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) 1/6) (+ (* -1/120 e) -1/120))) (* v v)) (+ (* -1/2 e) (+ (* 1/6 e) 1/6))) (* v v)) (+ 1 e)) v) (*.f64 (*.f64 (*.f64 v v) v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 #s(literal -1/18 binary64) e #s(literal 7/360 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) (/.f64 #s(literal -1 binary64) e))))
Outputs
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

10.0ms
v
10.0ms
e
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.6%1v
48.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.6%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory
-0.6MiB live, 39.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
Calls

3 calls:

5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
48.6%1v
48.6%1e
48.6%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)

regimes13.0ms (0.2%)

Memory
-2.6MiB live, 37.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.0ms
e
4.0ms
v
Results
AccuracySegmentsBranch
48.3%1v
48.3%1e
48.3%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
-7.6MiB live, 32.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
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
48.3%1v
48.3%1e
48.3%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)

regimes11.0ms (0.1%)

Memory
-10.6MiB live, 30.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (-.f64 v (/.f64 v e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
Calls

3 calls:

4.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
48.3%1v
48.3%1e
48.3%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)

regimes6.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
48.3%1v
48.3%1e
48.3%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)

regimes6.0ms (0.1%)

Memory
-21.7MiB live, 17.9MiB allocated
Accuracy

Total -14.1b remaining (-42.3%)

Threshold costs -14.1b (-42.3%)

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

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
47.8%1v
47.8%1e
47.8%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)

simplify10.0ms (0.1%)

Memory
27.9MiB live, 28.0MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
20×+-commutative_binary64
14×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095371
1129371
2143371
3154371
4158371
5159371
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) (*.f64 (sin.f64 v) e))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (fma.f64 v e (*.f64 (*.f64 (neg.f64 e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ e 1) e) v)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))

soundness1.3s (17.1%)

Memory
11.1MiB live, 1 364.0MiB allocated
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
11 796×lower-fma.f64
11 796×lower-fma.f32
10 700×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01527
14227
224127
3209727
0837025
04505396
114215228
243425131
088324851
04506392
113556167
241016008
080975658
026142
042136
1153136
2914134
09216134
03115508
19465344
227665149
082044860
01821153
15541138
215821106
352661024
08387956
055358
091353
1416317
23365317
08460304
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 513 to 230 computations (55.2% saved)

preprocess149.0ms (1.9%)

Memory
-0.4MiB live, 280.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 558 to 236 computations (57.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...