Trigonometry A

Time bar (total: 10.0s)

analyze10.0ms (0.1%)

Memory
-21.7MiB live, 16.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (13.1%)

Memory
69.9MiB live, 2 657.1MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 807.0ms
ival-sin: 301.0ms (37.3% of total)
ival-cos: 201.0ms (24.9% of total)
ival-mult: 127.0ms (15.7% of total)
ival-add: 62.0ms (7.7% of total)
ival-div: 48.0ms (5.9% of total)
ival-<=: 42.0ms (5.2% of total)
ival-and: 11.0ms (1.4% of total)
exact: 10.0ms (1.2% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess76.0ms (0.8%)

Memory
-2.2MiB live, 76.0MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs v)

explain130.0ms (1.3%)

Memory
-22.6MiB live, 346.2MiB 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
55.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 12.0ms (32.2% of total)
ival-sin: 12.0ms (32.2% of total)
ival-mult: 7.0ms (18.8% of total)
ival-div: 3.0ms (8.1% of total)
ival-add: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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
10.4MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Rules
16×lower-*.f32
12×lower-*.f64
8×*-commutative
6×lower-/.f32
4×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

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

localize53.0ms (0.5%)

Memory
-5.9MiB live, 74.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
28.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 6.0ms (30.7% of total)
ival-cos: 5.0ms (25.5% of total)
ival-div: 3.0ms (15.3% of total)
ival-mult: 3.0ms (15.3% of total)
ival-add: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

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

simplify398.0ms (4%)

Memory
7.0MiB live, 798.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
5 646×lower-*.f64
5 646×lower-*.f32
3 948×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
Stop Event
1×iter limit
1×node limit
Counts
120 → 118
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #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)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 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))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e (neg.f64 e)) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (*.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (*.f64 e (*.f64 e #s(literal -1/24 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e (*.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

rewrite334.0ms (3.3%)

Memory
-10.9MiB live, 677.9MiB allocated
Algorithm
1×batch-egg-rewrite
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
1×iter limit
1×node limit
1×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 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
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(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.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)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

eval58.0ms (0.6%)

Memory
-9.6MiB live, 146.1MiB allocated
Compiler

Compiled 13 630 to 1 267 computations (90.7% saved)

prune57.0ms (0.6%)

Memory
11.8MiB live, 139.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New45510465
Fresh000
Picked101
Done000
Total45610466
Accuracy
99.9%
Counts
466 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.5%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.7%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
46.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Compiler

Compiled 280 to 170 computations (39.3% saved)

simplify444.0ms (4.4%)

Memory
-1.7MiB live, 511.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(fma.f64 (cos.f64 v) 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)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Rules
12 712×lower-fma.f32
12 706×lower-fma.f64
2 800×lower-/.f32
2 792×lower-/.f64
2 664×lower-*.f32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
027177
045172
179172
2129172
3271172
4537172
5714172
6929172
71243172
81641172
92716166
104003166
114768166
125127166
135321166
145375166
155395166
166041166
176769166
187203166
197328166
207361166
217379166
227399166
237551166
247555166
257555166
08905166
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(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 v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(neg.f64 (*.f64 e (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)

localize98.0ms (1%)

Memory
4.5MiB live, 205.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Samples
54.0ms256×0valid
Compiler

Compiled 161 to 25 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 11.0ms (28.7% of total)
ival-div: 7.0ms (18.3% of total)
ival-sin: 7.0ms (18.3% of total)
ival-add: 6.0ms (15.7% of total)
ival-cos: 5.0ms (13.1% of total)
ival-neg: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
2.8MiB live, 43.5MiB allocated
Counts
16 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))>
#<alt (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e v)>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))>
#<alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))>
#<alt (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
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#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (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)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
e
@0
(/ (+ (* e (cos v)) 1) (* e (sin v)))
2.0ms
e
@inf
(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms
e
@0
(/ (* e (sin v)) (+ (* (cos v) e) 1))
1.0ms
v
@0
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
v
@inf
(* (sin v) (+ (* (cos v) (* e (neg e))) e))

simplify421.0ms (4.2%)

Memory
-2.7MiB live, 825.4MiB allocated
Algorithm
1×egg-herbie
Rules
14 218×lower-fma.f64
14 218×lower-fma.f32
6 624×lower-*.f64
6 624×lower-*.f32
5 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03495201
111125014
233864888
086634631
Stop Event
1×iter limit
1×node limit
Counts
348 → 342
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ e (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (* e (sin v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (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)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) 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)))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 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))))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -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 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -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 e (pow.f64 (cos.f64 v) #s(literal 3 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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
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(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

rewrite673.0ms (6.7%)

Memory
-324.2MiB live, 720.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 286×lower-fma.f32
7 280×lower-fma.f64
5 864×lower-*.f32
5 856×lower-*.f64
4 584×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027140
045135
1170135
2921135
08516135
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 282
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(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 v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (neg.f64 e))))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (neg.f64 e))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 e (sin.f64 v)))))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 e (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 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (/.f64 (*.f64 e (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 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 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))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (-.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e))))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))

eval223.0ms (2.2%)

Memory
16.0MiB live, 478.1MiB allocated
Compiler

Compiled 43 820 to 3 140 computations (92.8% saved)

prune194.0ms (1.9%)

Memory
-25.4MiB live, 501.0MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 766191 785
Fresh415
Picked145
Done000
Total1 771241 795
Accuracy
100.0%
Counts
1 795 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
47.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
47.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
45.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
60.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (*.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) e)) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
▶46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
✓46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
46.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e) (*.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
▶99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
46.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
▶46.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
65.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
46.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
▶45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
Compiler

Compiled 721 to 394 computations (45.4% saved)

simplify483.0ms (4.8%)

Memory
51.9MiB live, 878.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
✓cost-diff1088
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
✓cost-diff0
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓cost-diff0
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓cost-diff0
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
28 450×lower-fma.f32
28 444×lower-fma.f64
4 362×lower-*.f32
4 350×lower-*.f64
2 544×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042271
060262
1108262
2196253
3448246
4863246
52706246
67027246
08169243
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(*.f64 e v)
e
v
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
(fma.f64 e e #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
(sin.f64 v)
v
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v e)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v e))
(*.f64 e v)
(*.f64 v e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e v)
(*.f64 v e)
e
v
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(fma.f64 e e #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 e #s(literal -1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (fma.f64 e (neg.f64 e) e))))
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (fma.f64 e (neg.f64 e) e)))
(sin.f64 v)
v
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
#s(approx (+ (* (cos v) (* e (neg e))) e) (fma.f64 e (neg.f64 e) e))
(-.f64 e (*.f64 e e))
(fma.f64 e (neg.f64 e) e)
e
(*.f64 e e)

localize115.0ms (1.2%)

Memory
-18.8MiB live, 218.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
✓accuracy99.7%
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
✓accuracy99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓accuracy46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓accuracy99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
✓accuracy84.9%
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓accuracy46.3%
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.0%
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
✓accuracy46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.7%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
72.0ms256×0valid
Compiler

Compiled 194 to 35 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 16.0ms (30.8% of total)
ival-div: 9.0ms (17.3% of total)
ival-add: 8.0ms (15.4% of total)
ival-sin: 7.0ms (13.5% of total)
ival-cos: 5.0ms (9.6% of total)
const: 4.0ms (7.7% of total)
ival-sub: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
-15.3MiB live, 32.3MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (sin.f64 v)>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))>
#<alt #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))>
#<alt #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))>
#<alt (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))>
#<alt (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)>
#<alt (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))>
#<alt (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))>
#<alt (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))>
#<alt #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))>
#<alt (cos.f64 v)>
#<alt (*.f64 (*.f64 v v) #s(literal -1/6 binary64))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
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#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
Calls

102 calls:

TimeVariablePointExpression
24.0ms
v
@inf
(* (* v v) -1/6)
1.0ms
v
@0
(/ (* e v) (/ (+ (* e e) -1) (+ e -1)))
1.0ms
e
@0
(* v (+ (* e (* (* v v) -1/6)) e))
1.0ms
e
@inf
(* v (+ (* e (* (* v v) -1/6)) e))
1.0ms
v
@inf
(/ (* e v) (/ (+ (* e e) -1) (+ e -1)))

simplify436.0ms (4.4%)

Memory
27.5MiB live, 853.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 904×lower-fma.f64
14 904×lower-fma.f32
6 450×lower-*.f64
6 450×lower-*.f32
4 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03595647
111555430
233995338
081545052
Stop Event
1×iter limit
1×node limit
Counts
408 → 399
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 (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
v
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ e (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 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))))))
(*.f64 e (fma.f64 e (-.f64 (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))) (*.f64 (sin.f64 v) (cos.f64 v))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(- (+ (* -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 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -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 e (pow.f64 (cos.f64 v) #s(literal 3 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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) v) v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (*.f64 e e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (neg.f64 (*.f64 e e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(+ e (* -1 (pow e 2)))
(-.f64 e (*.f64 e e))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(fma.f64 (*.f64 e e) (fma.f64 #s(literal 1/2 binary64) (*.f64 v v) #s(literal -1 binary64)) e)
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(fma.f64 e (neg.f64 e) (fma.f64 (*.f64 e (*.f64 e (*.f64 v v))) (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) e))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 e #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (*.f64 (*.f64 e e) (fma.f64 #s(literal 1/720 binary64) (*.f64 v v) #s(literal -1/24 binary64))))) e))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))

rewrite311.0ms (3.1%)

Memory
-5.9MiB live, 659.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 656×lower-fma.f32
5 650×lower-fma.f64
4 838×lower-/.f32
4 830×lower-/.f64
4 066×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042235
060226
1232216
21570213
08540213
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 540
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(cos.f64 v)
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 e))
(*.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 e (/.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) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
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(*.f64 (*.f64 (*.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (-.f64 (*.f64 e e) e))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (*.f64 v (+.f64 e #s(literal -1 binary64))))
(*.f64 (*.f64 v (+.f64 e #s(literal -1 binary64))) (/.f64 e (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (*.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 v (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 v (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 e (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (*.f64 v e) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e (*.f64 e e)) (+.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal -1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) v) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (+.f64 e #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (neg.f64 e) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (neg.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (/.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 v (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 v (/.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 e (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (neg.f64 e) (fma.f64 e e #s(literal -1 binary64))) (/.f64 v (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
(*.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (/.f64 v (fma.f64 e e #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 e (+.f64 e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (/.f64 e (+.f64 e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (/.f64 e (+.f64 e #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 v (+.f64 e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (/.f64 v (+.f64 e #s(literal -1 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (/.f64 v (+.f64 e #s(literal -1 binary64))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 e (*.f64 e (*.f64 e e)) (+.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 e (*.f64 e (*.f64 e e)) (+.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e (*.f64 e (*.f64 e e))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (fma.f64 e (*.f64 e (*.f64 e e)) (+.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 e #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 v e) (fma.f64 (*.f64 e e) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (*.f64 v e) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (+.f64 e #s(literal 1 binary64))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e e #s(literal -1 binary64))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 v (/.f64 e (fma.f64 e e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (fma.f64 e (*.f64 e e) #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (*.f64 v e) (+.f64 e #s(literal -1 binary64))) (/.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)) #s(literal -1/2 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
(*.f64 #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))) (sin.f64 v))
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal -1/6 binary64)) v)

eval121.0ms (1.2%)

Memory
23.8MiB live, 288.7MiB allocated
Compiler

Compiled 20 487 to 1 761 computations (91.4% saved)

prune120.0ms (1.2%)

Memory
-4.1MiB live, 320.2MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New97417991
Fresh51015
Picked235
Done044
Total981341 015
Accuracy
100.0%
Counts
1 015 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
98.7%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
▶99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶47.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
47.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
60.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (*.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) e)) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
✓46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
✓46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
46.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
99.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e) (*.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
✓99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
46.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
45.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
▶46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
✓46.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
65.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
▶45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
10.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
10.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
▶45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
24.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
Compiler

Compiled 1 077 to 557 computations (48.3% saved)

simplify616.0ms (6.2%)

Memory
24.8MiB live, 1 130.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
✓cost-diff128
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
✓cost-diff192
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
✓cost-diff576
(-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
✓cost-diff0
(*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
✓cost-diff0
#s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
✓cost-diff320
(fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))
✓cost-diff0
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
✓cost-diff0
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
✓cost-diff0
#s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
✓cost-diff0
(-.f64 e (*.f64 e e))
✓cost-diff0
(*.f64 v (-.f64 e (*.f64 e e)))
✓cost-diff0
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))
✓cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
Rules
36 012×lower-fma.f32
36 000×lower-fma.f64
4 144×lower-*.f32
4 124×lower-*.f64
3 296×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057498
094475
1166475
2306467
3754467
42123467
57188467
08090442
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #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 v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))
(*.f64 v (-.f64 e (*.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
v
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
(*.f64 v v)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))
(fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))
(*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
v
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
e
(*.f64 v e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(literal 1 binary64)
#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
v
(-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
#s(literal 1/24 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))
#s(literal 1/12 binary64)
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
#s(literal -7/360 binary64)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
(fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
Outputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #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 v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e (-.f64 v (*.f64 e v))))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 v (*.f64 e v)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))
#s(approx (* e (sin v)) (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
v
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
(*.f64 v v)
(*.f64 #s(literal -1/6 binary64) e)
(*.f64 e #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))
#s(approx (* e (sin v)) (*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
(fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
v
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
e
(*.f64 v e)
(*.f64 e v)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/24 binary64)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(literal 1 binary64)
#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/24 binary64)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/24 binary64)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/24 binary64)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
v
(-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
(fma.f64 v (*.f64 v #s(literal -1/24 binary64)) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 v (*.f64 v #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64))
(fma.f64 v (*.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 7/360 binary64) e) #s(literal -1/24 binary64))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
(fma.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 7/360 binary64) e) #s(literal -1/24 binary64))
#s(literal 1/24 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))
(fma.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -7/360 binary64) e) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 (fma.f64 e #s(literal -7/360 binary64) #s(literal -7/360 binary64)) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
#s(literal -7/360 binary64)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
(fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)

localize187.0ms (1.9%)

Memory
-1.1MiB live, 387.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
✓accuracy96.7%
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓accuracy46.7%
#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓accuracy99.5%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
✓accuracy91.8%
(fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))
✓accuracy46.3%
#s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) e)
✓accuracy99.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
✓accuracy84.8%
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
✓accuracy46.3%
#s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))
✓accuracy100.0%
(*.f64 e e)
✓accuracy100.0%
(*.f64 v (-.f64 e (*.f64 e e)))
✓accuracy99.6%
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))
✓accuracy46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
Samples
109.0ms256×0valid
Compiler

Compiled 367 to 54 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 28.0ms (33.1% of total)
ival-div: 15.0ms (17.7% of total)
ival-add: 15.0ms (17.7% of total)
const: 11.0ms (13% of total)
ival-sin: 6.0ms (7.1% of total)
ival-cos: 6.0ms (7.1% of total)
ival-sub: 3.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
21.0MiB live, 60.4MiB allocated
Counts
27 → 528
Calls
Call 1
Inputs
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))>
#<alt #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))>
#<alt (*.f64 v (-.f64 e (*.f64 e e)))>
#<alt (-.f64 e (*.f64 e e))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))>
#<alt #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))>
#<alt (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))>
#<alt (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)>
#<alt (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))>
#<alt #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))>
#<alt (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))))>
#<alt (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))>
#<alt (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))>
#<alt (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))>
#<alt (sin.f64 v)>
#<alt (*.f64 e e)>
#<alt (*.f64 #s(literal -1/6 binary64) e)>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))>
#<alt (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)>
#<alt (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<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)>
#<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)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
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#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (/ 1 e)) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)>
#<alt (* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e))))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) (* e v))>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (/ -1/6 e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
Calls

132 calls:

TimeVariablePointExpression
6.0ms
e
@0
(+ (* (* v (* v (* v -1/6))) e) (* v e))
1.0ms
v
@inf
(- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))
1.0ms
e
@inf
(- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))
1.0ms
e
@-inf
(- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))
1.0ms
v
@0
(- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))

simplify390.0ms (3.9%)

Memory
30.6MiB live, 633.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 614×lower-fma.f64
9 614×lower-fma.f32
6 006×lower-*.f64
6 006×lower-*.f32
4 366×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04697216
114366910
242486736
083916342
Stop Event
1×iter limit
1×node limit
Counts
528 → 523
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 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)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (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))))))
(/ (+ 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 (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
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(/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)
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(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (* -1/45 (pow v 2)) 1/3)
(- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)
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(- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)
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(/ (+ 7/360 (* -1/45 e)) e)
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(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
-1/45
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(/ -7/360 e)
(/ (- (* -7/360 e) 7/360) e)
(/ (- (* -7/360 e) 7/360) e)
(/ (- (* -7/360 e) 7/360) e)
-7/360
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
-7/360
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* 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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(/ (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)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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 (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
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(sin v)
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(pow e 2)
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(* -1/6 v)
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(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
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(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (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)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
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(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
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(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
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(/ -1/6 e)
(/ (- (* -1/6 e) 1/6) e)
(/ (- (* -1/6 e) 1/6) e)
(/ (- (* -1/6 e) 1/6) e)
-1/6
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
-1/6
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 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))))))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (*.f64 (sin.f64 v) (cos.f64 v))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -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 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) (*.f64 v (+.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) (*.f64 v (+.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 e v))) (*.f64 v (+.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)))))
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v)
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ (- (* -1/6 e) 1/6) e)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(/ (- (* -1/6 e) 1/6) e)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(/ (- (* -1/6 e) 1/6) e)
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) e))

rewrite573.0ms (5.7%)

Memory
9.5MiB live, 614.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 968×lower-*.f32
5 948×lower-*.f64
3 472×lower-/.f32
3 458×lower-/.f64
2 644×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057388
094369
1398369
23096361
08524355
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 549
Calls
Call 1
Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e))))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e)
(fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e)))
(*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))))
(-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(sin.f64 v)
(*.f64 e e)
(*.f64 #s(literal -1/6 binary64) e)
(*.f64 v #s(literal -1/6 binary64))
#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (*.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sin.f64 v))))
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
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(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64)) (*.f64 e (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64)) (*.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) e)
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))) e))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))) (neg.f64 e)))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64)) e))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (neg.f64 e)))
(/.f64 (neg.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (neg.f64 e)))
(/.f64 (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 e))
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) e)) (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 e (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
(*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) e))
(*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(*.f64 (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (/.f64 e (fma.f64 #s(literal -1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(*.f64 (pow.f64 (/.f64 e (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))

eval187.0ms (1.9%)

Memory
-35.5MiB live, 335.8MiB allocated
Compiler

Compiled 43 177 to 2 852 computations (93.4% saved)

prune172.0ms (1.7%)

Memory
9.9MiB live, 288.4MiB allocated
Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New1 056161 072
Fresh121022
Picked325
Done077
Total1 071351 106
Accuracy
100.0%
Counts
1 106 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
98.7%
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
98.6%
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
48.1%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
46.6%
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
47.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
6.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
45.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
4.5%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
60.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (*.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) e)) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
✓46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
✓46.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
✓99.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e) (*.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
✓99.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓98.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
46.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
36.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
45.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
18.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
✓46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
46.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
41.5%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
26.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
✓46.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
26.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
65.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
✓45.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
45.7%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
24.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
24.2%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
Compiler

Compiled 1 461 to 500 computations (65.8% saved)

regimes58.0ms (0.6%)

Memory
-12.1MiB live, 105.3MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(/.f64 (*.f64 e (sin.f64 v)) (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 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 (*.f64 (neg.f64 e) (fma.f64 e (*.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) e)) (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 (*.f64 e e)) e) (*.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
18.0ms
v
16.0ms
e
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)

regimes90.0ms (0.9%)

Memory
-5.0MiB live, 86.4MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

58.0ms
e
16.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.5%1e
99.5%1v
99.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes62.0ms (0.6%)

Memory
2.0MiB live, 79.7MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
Calls

3 calls:

33.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.2%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes42.0ms (0.4%)

Memory
17.1MiB live, 97.2MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
Calls

3 calls:

14.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
98.9%1e
98.9%1v
98.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes43.0ms (0.4%)

Memory
-18.1MiB live, 96.6MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) #s(approx (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e)) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 e e) (fma.f64 e e e) (*.f64 e e)) (-.f64 e (*.f64 e e))) (fma.f64 e e (-.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (*.f64 e (neg.f64 e)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) #s(literal 1/36 binary64)) (neg.f64 (*.f64 (*.f64 v e) (*.f64 v e)))) (fma.f64 v (*.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)) (*.f64 v (neg.f64 e))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
Outputs
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
Calls

3 calls:

15.0ms
v
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
e
Results
AccuracySegmentsBranch
48.1%1e
48.1%1v
48.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes33.0ms (0.3%)

Memory
2.8MiB live, 85.8MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (*.f64 (*.f64 (fma.f64 e e e) (-.f64 e (*.f64 e e))) v) (fma.f64 e e e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (*.f64 (neg.f64 v) (*.f64 (*.f64 v v) (+.f64 #s(literal 1/45 binary64) (/.f64 #s(literal -7/360 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) #s(approx (/ (+ (* (* v v) (- (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) -1/2) (/ (+ (* e -1/6) -1/6) e))) (+ 1 (/ 1 e))) v) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
Calls

3 calls:

11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
10.0ms
e
10.0ms
v
Results
AccuracySegmentsBranch
46.7%1e
46.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
46.7%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes27.0ms (0.3%)

Memory
27.4MiB live, 66.8MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (+ (* (* v (* v (* v -1/6))) e) (* v e)) (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v (*.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* e (* (* v v) -1/6)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v #s(approx (+ (* (* v v) (* -1/6 e)) e) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) #s(literal -1/6 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (sin v) (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 e (*.f64 v v)) (*.f64 v #s(literal -1/6 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64)))) e (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (*.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

9.0ms
v
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
e
Results
AccuracySegmentsBranch
46.7%1e
46.7%1v
46.7%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)

regimes13.0ms (0.1%)

Memory
-8.5MiB live, 30.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
Calls

3 calls:

5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
4.0ms
v
4.0ms
e
Results
AccuracySegmentsBranch
46.5%1e
46.5%1v
46.5%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)

regimes12.0ms (0.1%)

Memory
-13.4MiB live, 28.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
Calls

3 calls:

5.0ms
e
3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
46.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
46.4%1e
46.4%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (*.f64 e (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (/ (+ (* e e) -1) (+ e -1))) (-.f64 v (/.f64 v e))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
46.4%1e
46.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
46.4%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory
-22.0MiB live, 17.8MiB allocated
Accuracy

Total -13.8b remaining (-40%)

Threshold costs -13.8b (-40%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (*.f64 e (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v #s(approx (- e (* e e)) (neg.f64 (*.f64 e e))))))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
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
46.0%1e
46.0%1v
46.0%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)

simplify26.0ms (0.3%)

Memory
-12.2MiB live, 67.3MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative-binary64-*.f64
16×+-commutative-binary64-+.f64
10×sub-neg-binary64-neg.f64-+.f64--.f64
6×neg-sub0-binary64--.f64-neg.f64
6×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067250
188249
298249
3103249
4105249
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) 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 (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (*.f64 e (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

soundness1.2s (11.9%)

Memory
19.0MiB live, 1 099.6MiB allocated
Rules
14 218×lower-fma.f64
14 218×lower-fma.f32
14 120×lower-fma.f64
14 120×lower-fma.f32
9 614×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027140
045135
1170135
2921135
08516135
04697216
114366910
242486736
083916342
03495201
111125014
233864888
086634631
01951209
15841194
216521162
349071089
080391013
0929
01529
14229
224129
3209729
0837027
057388
094369
1398369
23096361
08524355
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 291 to 142 computations (51.2% saved)

preprocess91.0ms (0.9%)

Memory
-21.2MiB live, 218.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 344 to 152 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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