Trigonometry A

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.1%)

Memory
-24.3MiB live, 15.2MiB 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)

sample1.2s (17.2%)

Memory
35.9MiB live, 2 443.4MiB allocated
Samples
918.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 688.0ms
ival-sin: 237.0ms (34.4% of total)
ival-cos: 172.0ms (25% of total)
ival-mult: 113.0ms (16.4% of total)
ival-div: 51.0ms (7.4% of total)
ival-<=: 46.0ms (6.7% of total)
ival-add: 44.0ms (6.4% of total)
ival-and: 11.0ms (1.6% of total)
exact: 11.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain121.0ms (1.7%)

Memory
-24.9MiB live, 235.5MiB 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
51.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 11.0ms (30.8% of total)
ival-cos: 10.0ms (28% of total)
ival-mult: 8.0ms (22.4% of total)
ival-div: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess71.0ms (1%)

Memory
15.0MiB live, 54.3MiB 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory
7.5MiB live, 7.5MiB 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)

localize33.0ms (0.5%)

Memory
-13.4MiB live, 65.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 v)
accuracy0.015625
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.1171875
(*.f64 e (sin.f64 v))
accuracy0.12109375
(*.f64 e (cos.f64 v))
Samples
26.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-cos: 5.0ms (27.5% of total)
ival-sin: 5.0ms (27.5% of total)
ival-mult: 4.0ms (22% of total)
ival-div: 1.0ms (5.5% of total)
ival-add: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-8.0MiB live, 32.7MiB allocated
Counts
6 → 120
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>) () ())
#s(alt (cos.f64 v) (patch (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 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow v 2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (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 (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (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 (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (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
2.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
e
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
1.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify182.0ms (2.5%)

Memory
41.0MiB live, 272.4MiB allocated
Algorithm
egg-herbie
Rules
17 764×lower-fma.f64
17 764×lower-fma.f32
5 642×lower-*.f64
5 642×lower-*.f32
4 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
348991089
085421013
Stop Event
iter limit
node limit
Counts
120 → 118
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
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+ 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))
(cos v)
(cos v)
(cos v)
(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))
(cos v)
(cos v)
(cos v)
(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 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(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 v e) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) 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 (fma.f64 (*.f64 e (*.f64 (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)
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))))))
(*.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) v) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #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))
(+ 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)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(+ 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)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
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 (fma.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (sin.f64 v)) 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 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (neg.f64 e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) e (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)

rewrite195.0ms (2.7%)

Memory
2.7MiB live, 358.8MiB 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
0929
01529
14229
224129
3209729
0837027
Stop Event
iter limit
node limit
iter limit
Counts
6 → 347
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(*.f64 (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))))
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(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(/.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))))))
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(sin.f64 v)
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(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)))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(cos.f64 v)

eval59.0ms (0.8%)

Memory
-21.4MiB live, 140.3MiB allocated
Compiler

Compiled 13 630 to 1 256 computations (90.8% saved)

prune59.0ms (0.8%)

Memory
-9.6MiB live, 150.4MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New45213465
Fresh000
Picked101
Done000
Total45313466
Accuracy
99.9%
Counts
466 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(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))
21.6%
(/.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))))
99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
60.5%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
98.3%
(/.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)))
99.7%
(*.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))
52.3%
#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))
98.4%
#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)))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
97.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 418 to 254 computations (39.2% saved)

simplify232.0ms (3.2%)

Memory
-2.3MiB live, 159.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) e)
cost-diff0
(*.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))))
cost-diff7168
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
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)
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 e #s(literal 1 binary64))
cost-diff0
(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) e)
cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Rules
6 180×lower-*.f32
6 170×lower-*.f64
3 394×cube-prod
2 772×lower-pow.f32
2 770×lower-pow.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027173
043162
165162
282162
3131162
4197162
5331158
6391158
7437158
8583158
91349158
102060158
112213158
122426158
132705158
143082158
153514158
164054158
174714158
184991158
195172158
205309158
215425158
225541158
236231158
247290158
257744158
267831158
277918158
08005158
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(/.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)
(*.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)
(*.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))))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
#s(literal -1 binary64)
(/.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)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
v
e
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
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)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.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)
(*.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
e
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
#s(literal -1 binary64)
(/.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)

localize83.0ms (1.1%)

Memory
17.9MiB live, 178.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 v)
accuracy0.0234375
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.11328125
(*.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))))
accuracy0.171875
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
accuracy0
(sin.f64 v)
accuracy0
(cos.f64 v)
accuracy0.0234375
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.11328125
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
accuracy0
(sin.f64 v)
accuracy0.015625
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy0.1171875
(*.f64 e (sin.f64 v))
accuracy0.9439255418266577
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy0
(+.f64 e #s(literal 1 binary64))
accuracy0.0234375
(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy0.0234375
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy30.368254488016753
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy0
(sin.f64 v)
accuracy0
(cos.f64 v)
accuracy0.015625
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.1171875
(*.f64 (sin.f64 v) e)
Samples
65.0ms256×0valid
Compiler

Compiled 167 to 24 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 11.0ms (29.4% of total)
ival-div: 7.0ms (18.7% of total)
ival-sin: 7.0ms (18.7% of total)
ival-cos: 6.0ms (16% of total)
ival-add: 3.0ms (8% of total)
ival-pow: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-24.6MiB live, 54.1MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<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 (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)))) (*.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 (/.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 (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<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) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<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) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<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) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (*.f64 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<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 (sin.f64 v) e) (patch (*.f64 (sin.f64 v) e) #<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>) () ())) ())
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#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 (/.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 (/ (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)) #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 (+ (* -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>) () ())) ())
#s(alt (* e (cos v)) (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>) () ())) ())
#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>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#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 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#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 (+ (* -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 (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 (+ (* -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 (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 (/ (sin v) (* e (cos v))) (taylor -inf e) (#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 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) (taylor -inf e) (#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 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) (taylor -inf e) (#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 (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e)) (taylor -inf e) (#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 e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (*.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)))) (patch (*.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)))) #<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 (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)))) (patch (*.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)))) #<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 (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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) e) (patch (/.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify193.0ms (2.7%)

Memory
16.9MiB live, 328.7MiB allocated
Algorithm
egg-herbie
Rules
11 586×lower-fma.f64
11 586×lower-fma.f32
5 804×lower-*.f64
5 804×lower-*.f32
4 442×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03194945
19894817
228274645
081524379
Stop Event
iter limit
node limit
Counts
336 → 318
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))))
(* 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))))
(+ 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) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e 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)))))))
(+ 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))))
(/ 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))))
(/ (* 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
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e
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(/ (sin v) (* e (cos v)))
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(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
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e
e
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(/ 1 e)
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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)))
v
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1
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e
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(* e (+ 1 (/ 1 e)))
(/ (sin v) (cos v))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(* e (sin v))
(* e (sin v))
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(* -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)))
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
e
e
e
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)))
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 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))))
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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))))
(*.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)
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(*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
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(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)
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(*.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)
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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#s(literal 1 binary64)
(- 1 (/ 1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) 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 (/.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))
(/ (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 (/.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))))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (+.f64 (/.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))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (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)
e
e
e
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 (/.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))))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)

rewrite176.0ms (2.4%)

Memory
24.7MiB live, 336.0MiB allocated
Rules
4 494×lower-*.f32
4 484×lower-*.f64
4 110×lower-fma.f32
4 108×lower-fma.f64
3 924×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027126
043119
1152115
2779115
37947115
08503115
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 198
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(/.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)))
(*.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)))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
(*.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 #s(literal 1 binary64) e)
(cos.f64 v)
Outputs
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (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)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (/.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 v 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 (cos.f64 v) e) #s(literal 3 binary64)) #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 (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) (pow.f64 e #s(literal 1/4 binary64))) (pow.f64 e #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 e))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sqrt.f64 e)) (*.f64 (sqrt.f64 e) (sin.f64 v)))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 e))
(*.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 v v)))) (*.f64 e e) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 v v)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 e))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (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))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (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 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (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 #s(literal 1 binary64) e)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (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 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (/.f64 (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 v v)))) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (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 v v)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (/.f64 (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 v v)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (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 v v)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.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) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) (/.f64 (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 (/.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.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) e)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (sin.f64 v)))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) e)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (neg.f64 e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (sqrt.f64 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))) (/.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 e) (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))) (/.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (/.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 (/.f64 (sqrt.f64 e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (sqrt.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (neg.f64 (sin.f64 v)))
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(fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 v) e) (/.f64 (*.f64 e (sin.f64 v)) (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 #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 v v)))) (*.f64 e e) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.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 v v)))) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.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 v v)))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (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 e (sin.f64 v)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 v) e) (/.f64 (*.f64 e (sin.f64 v)) (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 #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 v v)))) (*.f64 e e) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.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 v v)))) #s(literal 1 binary64)))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.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 v v)))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (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 (cos.f64 v) e)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (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 (*.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 v v)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.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 v v)))) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (*.f64 e e))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 e))
(pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 e) #s(literal -2 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 e #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 e))))
(/.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 e))
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) e)
(neg.f64 (/.f64 #s(literal -1 binary64) e))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e))
(exp.f64 (neg.f64 (log.f64 e)))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)

eval360.0ms (5%)

Memory
9.8MiB live, 587.7MiB allocated
Compiler

Compiled 47 860 to 2 843 computations (94.1% saved)

prune222.0ms (3.1%)

Memory
7.5MiB live, 492.7MiB allocated
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New2 044312 075
Fresh448
Picked325
Done000
Total2 051372 088
Accuracy
100.0%
Counts
2 088 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(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))
97.8%
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
60.5%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
52.2%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
52.3%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
52.2%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
52.3%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
52.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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)))
98.1%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
96.6%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.3%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
98.3%
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
98.5%
(*.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)
97.5%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
51.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
52.3%
#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))
98.4%
#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)))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
52.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
52.0%
#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)))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
51.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Compiler

Compiled 1 080 to 610 computations (43.5% saved)

simplify101.0ms (1.4%)

Memory
2.1MiB live, 77.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
cost-diff576
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
cost-diff832
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff0
(*.f64 e #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)))
cost-diff0
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
cost-diff384
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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
(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)))
Rules
3 448×lower-fma.f32
3 442×lower-fma.f64
2 182×lower-*.f32
2 172×lower-*.f64
1 520×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041291
065283
1106283
2154280
3262274
4521274
5968274
62047274
73372274
84631274
95405274
106504274
117671274
08021270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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)
#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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
v
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e #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 (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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
v
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(sin.f64 v)
v
(/.f64 #s(literal -1 binary64) e)
Outputs
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 e (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)
#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 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
v
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
(*.f64 e #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)))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
e
#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))
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) 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)
(*.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
v
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) e))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
(/.f64 #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))) (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e
(sin.f64 v)
v
(/.f64 #s(literal -1 binary64) e)

localize105.0ms (1.4%)

Memory
19.4MiB live, 174.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
accuracy0.31087875976844204
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
accuracy0.9439255418266577
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy1.0432356274904055
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
accuracy0.1171875
(*.f64 e #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)))
accuracy0.24790436514227643
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
accuracy0.9439255418266577
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy30.52074869429714
#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))
accuracy0
(+.f64 #s(literal 1 binary64) e)
accuracy0.03125
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy0.1953125
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy30.368254488016753
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
accuracy0
(*.f64 v e)
accuracy1.51504936855993
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy30.368254488016753
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy0
(sin.f64 v)
accuracy0
(cos.f64 v)
accuracy0.08984375
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy0.25
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
Samples
80.0ms256×0valid
Compiler

Compiled 211 to 35 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 23.0ms (37.1% of total)
ival-div: 14.0ms (22.6% of total)
ival-add: 7.0ms (11.3% of total)
ival-cos: 6.0ms (9.7% of total)
const: 6.0ms (9.7% of total)
ival-sin: 5.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-7.1MiB live, 71.7MiB allocated
Counts
22 → 444
Calls
Call 1
Inputs
#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>) () ())
#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)))) #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 (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 e #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))) (patch (*.f64 e #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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) (patch (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (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 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (* 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 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 (* 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 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 (* 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 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 e) v) (taylor 0 v) (#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 (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#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 (* (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) (taylor 0 v) (#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 (* (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) (taylor 0 v) (#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) (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>) () ())) ())
#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 (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 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.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>) () ())) ())
#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
6.0ms
v
@inf
((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6))
5.0ms
v
@0
((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6))
3.0ms
v
@-inf
((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6))
2.0ms
e
@-inf
((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6))
2.0ms
e
@inf
((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e))) (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/ (+ 1 (* e (cos v))) (sin v)) (+ 1 (* e (cos v))) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6))

simplify208.0ms (2.9%)

Memory
11.9MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Rules
12 764×lower-fma.f64
12 764×lower-fma.f32
5 740×lower-*.f64
5 740×lower-*.f32
5 730×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03385992
110315874
229845736
081745362
Stop Event
iter limit
node limit
Counts
444 → 435
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))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 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)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* 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) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e 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))))
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) (- (* 1/120 (pow v 2)) 1/6))))
(/ (* 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))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 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)
(+ 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)))))))
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)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(/ (* 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))))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(cos v)
(cos v)
(cos v)
(cos v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(/ (* 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))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(sin v)
(sin v)
(sin v)
(sin v)
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(/ (* 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))))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(cos v)
(cos v)
(cos v)
(cos v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* 1/120 (pow v 5))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
(/ (* 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))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
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(sin v)
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(* 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))))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
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(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
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(* 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))))))
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(/ 1 e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
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(* e (sin v))
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(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
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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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v
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(* e v)
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v
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(/ (sin v) (cos v))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
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(/ (* 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))))))
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(/ (sin v) (cos v))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(* e v)
(* e v)
(* e v)
(* e v)
v
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(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (sin v) (cos v))
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(+ (* -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
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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 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin 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))))))
(* e (cos v))
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(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(* -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 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 (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 -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.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 e) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) 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)
(/ (+ 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 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 -1/120 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)
(/ (+ 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)
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(+ 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))
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(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))
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(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
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(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.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)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.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) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) (/.f64 v (*.f64 (*.f64 e e) e)))
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) (/.f64 v (*.f64 (*.f64 e e) 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)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.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)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.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) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) 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)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.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)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.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) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) 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)
(/ (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)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)) (/.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)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.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) (*.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))))
(* -1 (/ (cos v) (sin v)))
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* 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))
(* 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 (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 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* 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 (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))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) 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))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) 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 (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) (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))
(* -1 (/ (cos v) (sin v)))
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (* 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 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* 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))
(* 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))

rewrite160.0ms (2.2%)

Memory
-7.6MiB live, 223.3MiB allocated
Rules
4 528×lower-fma.f32
4 522×lower-fma.f64
4 118×lower-*.f32
4 108×lower-*.f64
4 106×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041249
065241
1253238
21534236
08315236
Stop Event
iter limit
node limit
iter limit
Counts
22 → 760
Calls
Call 1
Inputs
(/.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))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#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)
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e #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)))
#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))
(*.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)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(sin.f64 v)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 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 (cos.f64 v) e #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 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (+.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))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (+.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)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) 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 (cos.f64 v) e #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 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #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 (cos.f64 v) e))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.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 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (neg.f64 (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))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(*.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 #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 (cos.f64 v) 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) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #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 (cos.f64 v) e))))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #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 (*.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 (*.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 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 (cos.f64 v) e #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 (cos.f64 v) e)))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #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 (cos.f64 v) e))))))
(*.f64 (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.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 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #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 #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 (neg.f64 e) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
(*.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #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 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.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 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 (cos.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)))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))))
(neg.f64 (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
(fma.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))) (*.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))) #s(literal -1 binary64)))
(fma.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)))) #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)))) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.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 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 v) e) (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))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(fma.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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))) (*.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.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 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.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 (+.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 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (cos.f64 v) e) (/.f64 (*.f64 (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))) (*.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 #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)))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v))) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64))) (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 v v) #s(literal -1/720 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 v (*.f64 #s(literal 1/120 binary64) v) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 v v)) (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 v v) #s(literal 1/120 binary64)))

eval154.0ms (2.1%)

Memory
6.3MiB live, 313.3MiB allocated
Compiler

Compiled 26 544 to 2 717 computations (89.8% saved)

prune215.0ms (3%)

Memory
4.0MiB live, 442.6MiB allocated
Pruning

48 alts after pruning (44 fresh and 4 done)

PrunedKeptTotal
New1 262221 284
Fresh82230
Picked325
Done022
Total1 273481 321
Accuracy
100.0%
Counts
1 321 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
60.5%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
52.2%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
51.7%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
51.5%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
52.2%
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
52.3%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
52.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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)))
97.3%
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
53.7%
(/.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(literal 1/6 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 -1/120 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)))
53.8%
(/.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)))
52.4%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
96.7%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
96.7%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
50.7%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.f64 #s(literal -1 binary64) e)))
95.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
52.4%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
51.0%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
52.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
52.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
51.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.3%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
98.3%
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
98.5%
(*.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)
97.5%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
51.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
52.3%
#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))
98.4%
#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)))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
52.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
52.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
51.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Compiler

Compiled 1 599 to 889 computations (44.4% saved)

simplify121.0ms (1.7%)

Memory
20.1MiB live, 175.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff0
(*.f64 e #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)))
cost-diff0
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff0
(-.f64 v (*.f64 v e))
cost-diff0
(*.f64 (-.f64 v (*.f64 v e)) e)
cost-diff0
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) 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)) (sin.f64 v))
cost-diff0
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
cost-diff0
(*.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)
Rules
8 482×lower-fma.f32
8 474×lower-fma.f64
3 604×lower-*.f32
3 586×lower-*.f64
2 114×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048368
077368
1130364
2213362
3502358
41297358
52384358
62675358
73290358
86472358
08074345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ v (/ (+ 1 e) e)) (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
e
v
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e #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 (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))
(*.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)
(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))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 v v)
v
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
Outputs
(*.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 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))) e)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (neg.f64 e) v v) e)))
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (neg.f64 e) v v) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(*.f64 (fma.f64 (neg.f64 e) v v) e)
(-.f64 v (*.f64 v e))
(fma.f64 (neg.f64 e) v v)
v
(*.f64 v e)
(*.f64 e v)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
e
v
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))))
(*.f64 e #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)))
(*.f64 #s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)) e)
e
#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))
#s(approx (sin v) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) 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)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(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))
(fma.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 v v)
v
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (*.f64 (sin.f64 v) e) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))))
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64))))
(sin.f64 v)
v
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ (* (cos v) e) 1) (-.f64 e #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e

localize152.0ms (2.1%)

Memory
-14.0MiB live, 241.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 v)
accuracy0.0234375
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))
accuracy0.11328125
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
accuracy0.9439255418266577
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
accuracy0.1171875
(*.f64 e #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)))
accuracy0.479388387509322
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
accuracy0.9439255418266577
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy30.56922360800597
#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))
accuracy0.0234375
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
accuracy0.03125
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy30.368254488016753
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
accuracy0
(*.f64 v e)
accuracy0.00390625
(*.f64 (-.f64 v (*.f64 v e)) e)
accuracy0.8920208290747227
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))
accuracy30.368254488016753
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
accuracy0
(cos.f64 v)
accuracy0.03125
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy0.11328125
(*.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)
accuracy0.8801544903228593
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
Samples
125.0ms256×0valid
Compiler

Compiled 250 to 39 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 65.0ms (61.8% of total)
const: 10.0ms (9.5% of total)
ival-add: 9.0ms (8.6% of total)
ival-div: 7.0ms (6.7% of total)
ival-sin: 6.0ms (5.7% of total)
ival-cos: 5.0ms (4.8% of total)
ival-sub: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
-1.1MiB live, 76.8MiB allocated
Counts
24 → 492
Calls
Call 1
Inputs
#s(alt (*.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) (patch (*.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) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
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#s(alt #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)) (patch #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)) #<representation binary64>) () ())
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#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt (*.f64 v e) (patch (*.f64 v e) #<representation binary64>) () ())
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Outputs
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#s(alt (* v (+ 1 (* -1 e))) (taylor 0 v) (#s(alt (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) (taylor 0 v) (#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 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) (taylor 0 v) (#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 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) (taylor 0 v) (#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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))) #<representation binary64>) () ())) ())
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#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (*.f64 (-.f64 v (*.f64 v e)) e) (patch (*.f64 (-.f64 v (*.f64 v e)) e) #<representation binary64>) () ())) ())
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#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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
6.0ms
v
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
3.0ms
v
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
3.0ms
e
@inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
3.0ms
v
@0
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
2.0ms
e
@-inf
((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))

simplify211.0ms (2.9%)

Memory
-10.4MiB live, 305.9MiB allocated
Algorithm
egg-herbie
Rules
14 862×lower-fma.f64
14 862×lower-fma.f32
5 688×lower-*.f64
5 688×lower-*.f32
5 464×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04336766
113756561
240706345
086056025
Stop Event
iter limit
node limit
Counts
492 → 483
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))
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(* 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))))
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(/ (* e v) (+ 1 e))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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v
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1
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1/120
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(* e (sin v))
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(/ (sin v) (cos v))
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(+ (* -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)))
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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))))
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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))) (* (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 (cos v))
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(* 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))
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.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 (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 (/.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 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (+.f64 (/.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))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(* -1 (* e (* (cos v) (sin v))))
(*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (neg.f64 e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) e)
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 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 (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 (/.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 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v)
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e))
(* -1 (* (pow e 2) v))
(*.f64 (*.f64 (neg.f64 e) v) e)
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e)
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e)
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 (*.f64 (-.f64 (/.f64 v e) v) e) e)
(* -1 (* e v))
(*.f64 (neg.f64 e) v)
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(*.f64 (-.f64 (/.f64 v e) v) e)
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(*.f64 (-.f64 (/.f64 v e) v) e)
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(*.f64 (-.f64 (/.f64 v e) v) e)
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))
(/ (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 (/.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 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v)
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 v e) v) e) v) e))
1
#s(literal 1 binary64)
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) 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 (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 (/.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 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) 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)
(/ (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 (/.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 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))))) e))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (+.f64 (/.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))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e)))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (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))
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.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))

rewrite157.0ms (2.2%)

Memory
7.7MiB live, 289.4MiB allocated
Rules
4 366×lower-/.f32
4 358×lower-/.f64
3 646×lower-fma.f32
3 638×lower-fma.f64
3 536×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048308
077304
1287302
21768302
08579289
Stop Event
iter limit
node limit
iter limit
Counts
24 → 580
Calls
Call 1
Inputs
(*.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)
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e))
(*.f64 (-.f64 v (*.f64 v e)) e)
(-.f64 v (*.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e #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)))
#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))
(*.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)
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(*.f64 v e)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 e #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
#s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.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 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.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)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.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) (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) (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 #s(literal -1 binary64) (fma.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 #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) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(neg.f64 (neg.f64 (sin.f64 v)))
(sin.f64 v)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(*.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (*.f64 e v))
(*.f64 e v)
(*.f64 v e)
(/.f64 (neg.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(*.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
#s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v)) (neg.f64 (*.f64 (*.f64 v v) #s(literal -1/604800 binary64))))) (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64))
(fma.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
(fma.f64 v (*.f64 #s(literal -1/5040 binary64) v) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(+.f64 (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))

eval134.0ms (1.8%)

Memory
35.1MiB live, 307.9MiB allocated
Compiler

Compiled 24 149 to 2 346 computations (90.3% saved)

prune138.0ms (1.9%)

Memory
-22.5MiB live, 340.3MiB allocated
Pruning

48 alts after pruning (41 fresh and 7 done)

PrunedKeptTotal
New1 069111 080
Fresh93039
Picked235
Done044
Total1 080481 128
Accuracy
100.0%
Counts
1 128 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
97.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
98.3%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
51.4%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
51.5%
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
52.3%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
52.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 v e)) #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)))
97.3%
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
53.8%
(/.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)))
52.4%
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
96.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
96.7%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
50.7%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.f64 #s(literal -1 binary64) e)))
95.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
52.4%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
51.0%
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
52.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
51.1%
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
98.3%
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
98.3%
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
71.8%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v)))))) e)
98.5%
(*.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)
58.2%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
97.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
97.5%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
51.7%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
51.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
52.3%
#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))
98.4%
#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)))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
52.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
52.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
52.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
40.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
51.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
52.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)))
51.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
46.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
51.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
27.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (neg.f64 e) v)) e)))
51.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Compiler

Compiled 1 961 to 683 computations (65.2% saved)

regimes67.0ms (0.9%)

Memory
19.9MiB live, 138.6MiB allocated
Counts
78 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e 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 #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 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.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 (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 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (pow.f64 e #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #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 (/.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 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (sin.f64 v) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (*.f64 (sin.f64 v) (sin.f64 v)) (*.f64 (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v)))))) e)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
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)

regimes60.0ms (0.8%)

Memory
2.9MiB live, 120.8MiB allocated
Counts
68 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e 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 #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:

20.0ms
v
19.0ms
e
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)

regimes58.0ms (0.8%)

Memory
-38.0MiB live, 122.1MiB allocated
Counts
67 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e 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 #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
(*.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)
Calls

3 calls:

18.0ms
v
18.0ms
e
17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.5%1e
98.5%1v
98.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.8%)

Memory
36.5MiB live, 118.6MiB allocated
Counts
66 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e 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)))
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:

18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
18.0ms
e
17.0ms
v
Results
AccuracySegmentsBranch
98.4%1e
98.4%1v
98.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes56.0ms (0.8%)

Memory
-0.6MiB live, 119.2MiB allocated
Counts
65 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #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 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (/.f64 (fma.f64 (*.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
Calls

3 calls:

18.0ms
e
17.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.3%1e
98.3%1v
98.3%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)

regimes55.0ms (0.8%)

Memory
-0.4MiB live, 116.9MiB allocated
Counts
63 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) #s(approx (+ 1 e) #s(literal 1 binary64))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 e) (sin.f64 v)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
Calls

3 calls:

18.0ms
e
17.0ms
v
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.3%1e
98.3%1v
98.3%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)

regimes45.0ms (0.6%)

Memory
-27.0MiB live, 93.7MiB allocated
Counts
50 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) #s(approx (+ (* (cos v) e) 1) (+.f64 #s(literal 1 binary64) e))) e)
Outputs
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
Calls

3 calls:

14.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
Results
AccuracySegmentsBranch
98.3%1e
98.3%1v
98.3%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)

regimes45.0ms (0.6%)

Memory
31.4MiB live, 109.6MiB 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
Outputs
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
Calls

3 calls:

16.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
13.0ms
e
Results
AccuracySegmentsBranch
97.7%1e
97.7%1v
97.7%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)

regimes47.0ms (0.6%)

Memory
-11.0MiB live, 105.0MiB 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

15.0ms
e
15.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.5%1e
97.5%1v
97.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes55.0ms (0.8%)

Memory
-27.4MiB live, 101.0MiB 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (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 #s(literal -1 binary64) e)))
#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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #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))) (/.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 #s(literal 1/6 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 -1/120 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 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (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))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (*.f64 v v) #s(literal 1/2 binary64)) (*.f64 v v) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
Outputs
(/.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)))
Calls

3 calls:

23.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
53.8%1e
53.8%1v
53.8%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)

regimes36.0ms (0.5%)

Memory
-1.0MiB live, 81.1MiB allocated
Counts
35 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ (+ 1 (* e (cos v))) (sin v)) (/ -1 e)) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) #s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 #s(literal -1 binary64) v) (*.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e #s(approx (sin v) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* v v)) -1/6) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) e) (fma.f64 e v v))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ (+ 1 (* e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (*.f64 (*.f64 (fma.f64 e v v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))) e)))
(/.f64 (*.f64 e #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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
Calls

3 calls:

12.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
10.0ms
v
Results
AccuracySegmentsBranch
52.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.5%1e
52.5%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes16.0ms (0.2%)

Memory
-1.1MiB live, 38.2MiB allocated
Counts
14 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 #s(approx (- v (* v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
Calls

3 calls:

6.0ms
e
5.0ms
v
5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
52.5%1e
52.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.5%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.2%)

Memory
31.8MiB live, 31.8MiB 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 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)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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
v
4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
52.0%1e
52.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory
-13.8MiB live, 25.8MiB 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.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 (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
Calls

3 calls:

3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
51.9%1e
51.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.9%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
-19.6MiB live, 19.9MiB allocated
Counts
4 → 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 (/ v (/ (+ 1 e) e)) (*.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 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (-.f64 v (*.f64 v e)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
Calls

3 calls:

3.0ms
e
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
Results
AccuracySegmentsBranch
51.9%1e
51.9%1v
51.9%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)

regimes5.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Accuracy

Total -16.3b remaining (-52.8%)

Threshold costs -16.3b (-52.8%)

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 (/ v (/ (+ 1 e) e)) (*.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
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
51.7%1e
51.7%1v
51.7%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)

simplify9.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative_binary64
20×+-commutative_binary64
18×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087334
1122334
2139334
3149334
4151334
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) 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 #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)
#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 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #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 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (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 #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)
#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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) e))))
(/.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 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (-.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 (* (/ e (+ e 1)) v) (*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (-.f64 v (*.f64 e v)) e)))
#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)))

soundness1.3s (17.5%)

Memory
17.4MiB live, 1 278.1MiB allocated
Rules
17 764×lower-fma.f64
17 764×lower-fma.f32
14 862×lower-fma.f64
14 862×lower-fma.f32
12 764×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03194945
19894817
228274645
081524379
0929
01529
14229
224129
3209729
0837027
04336766
113756561
240706345
086056025
03385992
110315874
229845736
081745362
027126
043119
1152115
2779115
37947115
08503115
01951209
15841194
216521162
348991089
085421013
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 540 to 249 computations (53.9% saved)

preprocess132.0ms (1.8%)

Memory
-30.7MiB live, 282.7MiB allocated
Remove

(negabs v)

Compiler

Compiled 630 to 290 computations (54% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...