Trigonometry A

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (19.7%)

Memory
41.4MiB live, 1 274.6MiB allocated
Samples
896.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 702.0ms
ival-sin: 201.0ms (28.6% of total)
ival-cos: 160.0ms (22.8% of total)
ival-mult: 108.0ms (15.4% of total)
ival-add: 100.0ms (14.2% of total)
ival-div: 66.0ms (9.4% of total)
ival-<=: 42.0ms (6% of total)
ival-and: 12.0ms (1.7% of total)
exact: 11.0ms (1.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain187.0ms (2.9%)

Memory
22.1MiB live, 142.6MiB 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
127.0ms512×0valid
Compiler

Compiled 111 to 40 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-add: 74.0ms (66.2% of total)
ival-cos: 12.0ms (10.7% of total)
ival-sin: 12.0ms (10.7% of total)
ival-mult: 7.0ms (6.3% of total)
ival-div: 6.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess96.0ms (1.5%)

Memory
-16.0MiB live, 59.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02563
16457
215255
340355
4101055
5155955
6173555
7187455
8203755
9245355
10256555
11262655
12268655
13269155
0911
01511
12211
22511
32611
02610
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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 11 to 9 computations (18.2% saved)

simplify5.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize76.0ms (1.2%)

Memory
-3.6MiB live, 76.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.03515625
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy0.1171875
(*.f64 e (cos.f64 v))
accuracy0.140625
(*.f64 e (sin.f64 v))
Samples
64.0ms256×0valid
Compiler

Compiled 66 to 20 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-sin: 17.0ms (39.6% of total)
ival-cos: 14.0ms (32.6% of total)
ival-mult: 6.0ms (14% of total)
ival-div: 3.0ms (7% of total)
ival-add: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-0.3MiB live, 35.5MiB allocated
Counts
6 → 41
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
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(cos v)
Calls

6 calls:

TimeVariablePointExpression
9.0ms
v
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
4.0ms
e
@0
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
4.0ms
e
@-inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
3.0ms
e
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms
v
@inf
((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify172.0ms (2.7%)

Memory
27.6MiB live, 221.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195834
1584820
21675788
34986730
08150668
Stop Event
iter limit
node limit
Counts
41 → 39
Calls
Call 1
Inputs
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(sin v)
(cos v)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (fma.f64 (*.f64 (neg.f64 e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))))) e (sin.f64 v)) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (*.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 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 (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 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 (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.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 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) #s(literal -1/5040 binary64)) (neg.f64 (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (*.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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))))) (*.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 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.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 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (*.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64))) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) v)) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v)
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(*.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) e) (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e))
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin v)
(sin.f64 v)
(cos v)
(cos.f64 v)

rewrite226.0ms (3.5%)

Memory
-24.0MiB live, 260.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14229
224129
3214329
0849827
Stop Event
iter limit
node limit
iter limit
Counts
6 → 347
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (-.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64))))))
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(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))))
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(/.f64 (*.f64 (*.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)))))
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(/.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (pow.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))))
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))
(fma.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 (cos.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) (log.f64 (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (*.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))))))
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(sin.f64 v)
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(cos.f64 v)

eval48.0ms (0.7%)

Memory
18.5MiB live, 94.2MiB allocated
Compiler

Compiled 11 614 to 1 299 computations (88.8% saved)

prune13.0ms (0.2%)

Memory
-15.6MiB live, 31.3MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New37211383
Fresh000
Picked101
Done000
Total37311384
Accuracy
100.0%
Counts
384 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
24.8%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.2%
(/.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 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
98.3%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
96.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Compiler

Compiled 372 to 278 computations (25.3% saved)

simplify137.0ms (2.2%)

Memory
30.6MiB live, 101.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 v)
cost-diff0
(*.f64 (cos.f64 v) e)
cost-diff0
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
cost-diff704
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
cost-diff0
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
cost-diff0
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 e (+.f64 #s(literal 1 binary64) e))
cost-diff0
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
cost-diff0
(cos.f64 v)
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
031195
049189
181189
2139189
3245187
4433187
51046182
63276182
75304182
86548182
96971182
107079182
117192182
127250182
08052182
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
v
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin.f64 v)
v
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(cos.f64 v)
v
e
(*.f64 (sin.f64 v) e)
(sin.f64 v)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
e
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
v
(/.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))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin.f64 v)
v
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
e
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v))
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(cos.f64 v)
v
e
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)

localize106.0ms (1.7%)

Memory
-5.9MiB live, 112.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (cos.f64 v) e)
accuracy0.140625
(*.f64 (sin.f64 v) e)
accuracy0.25619125976844204
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
accuracy1.023619028491423
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
accuracy0.0
(sin.f64 v)
accuracy0.0
(cos.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy0.24609375
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy0.0
(sin.f64 v)
accuracy0.03515625
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy0.140625
(*.f64 e (sin.f64 v))
accuracy1.000462542197883
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy0.0
(+.f64 #s(literal 1 binary64) e)
accuracy0.02734375
(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy0.02734375
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
accuracy35.561416482144885
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
accuracy0.0
(sin.f64 v)
accuracy0.0
(cos.f64 v)
accuracy0.0234375
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy0.14453125
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Samples
85.0ms256×0valid
Compiler

Compiled 369 to 58 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-add: 21.0ms (30.4% of total)
ival-div: 20.0ms (29% of total)
ival-sin: 11.0ms (15.9% of total)
ival-mult: 9.0ms (13% of total)
ival-cos: 5.0ms (7.2% of total)
ival-sub: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.8%)

Memory
5.1MiB live, 42.2MiB allocated
Counts
20 → 106
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (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) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
Outputs
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
-1
(- (* -1 (* e (cos v))) 1)
(* e (cos v))
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(cos v)
(+ (cos v) (/ 1 e))
(* -1 (* e (cos v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(+ 1 (/ 1 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 (+ 1 e))
(- (* 1/2 (* e (pow v 2))) (+ 1 e))
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e))
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 e))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/ (sin v) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* -1 (+ 1 (* e (cos v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
e
@-inf
((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
6.0ms
v
@inf
((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
5.0ms
v
@0
((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
3.0ms
e
@0
((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
3.0ms
v
@-inf
((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))

simplify234.0ms (3.7%)

Memory
-8.5MiB live, 177.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04482322
114312245
241952190
087802071
Stop Event
iter limit
node limit
Counts
106 → 104
Calls
Call 1
Inputs
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
1
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(+ 1 e)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
-1
(- (* -1 (* e (cos v))) 1)
(* e (cos v))
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* e (+ (cos v) (/ 1 e)))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(cos v)
(+ (cos v) (/ 1 e))
(* -1 (* e (cos v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(+ 1 (/ 1 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 (+ 1 e))
(- (* 1/2 (* e (pow v 2))) (+ 1 e))
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e))
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 e))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/ (sin v) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* -1 (+ 1 (* e (cos v))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
Outputs
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) e)
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(* e (+ v (* e (- (* e v) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 e v) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 v) e v) e (neg.f64 v)) e v) e)
e
(* e (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(* e (+ 1 (* e (- e 1))))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
-1
#s(literal -1 binary64)
(- (* -1 (* e (cos v))) 1)
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))
(* e (cos v))
(*.f64 (cos.f64 v) e)
(/ -1 (* e (sin v)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v))
(/ (sin v) (* e (cos v)))
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) 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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) e))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(* -1 (+ 1 e))
(-.f64 #s(literal -1 binary64) e)
(- (* 1/2 (* e (pow v 2))) (+ 1 e))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) e) v) v (-.f64 #s(literal -1 binary64) e))
(- (* (pow v 2) (- (* -1/24 (* e (pow v 2))) (* -1/2 e))) (+ 1 e))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (*.f64 (*.f64 (*.f64 v v) e) #s(literal -1/24 binary64))) v) v (-.f64 #s(literal -1 binary64) e))
(- (* (pow v 2) (- (* (pow v 2) (- (* 1/720 (* e (pow v 2))) (* 1/24 e))) (* -1/2 e))) (+ 1 e))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) e (*.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 v v) e))) v) v (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal -1 binary64) e))
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) e)) v) v (*.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) e)
(* -1 (/ (+ 1 e) (* e v)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64))) #s(literal -1/24 binary64)) v) v (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64)))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/720 binary64) #s(literal -1/240 binary64)))) #s(literal 1/720 binary64)) v) v (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/36 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/12 binary64))) #s(literal -1/24 binary64))) (*.f64 v v) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(* -1 (+ 1 (* e (cos v))))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v))

rewrite161.0ms (2.5%)

Memory
4.9MiB live, 322.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031164
049163
1198157
21254157
08581157
Stop Event
iter limit
node limit
iter limit
Counts
20 → 911
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (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) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #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 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (pow.f64 (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)) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 e (cos.f64 v))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 e (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 (*.f64 (neg.f64 e) (sin.f64 v)) (*.f64 (*.f64 (*.f64 e (sin.f64 v)) e) (cos.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v)))
(/.f64 (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (pow.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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (neg.f64 e))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (*.f64 e (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 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 e (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 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 e (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 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (neg.f64 e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64))) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (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 2 binary64)) (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v)))))) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (*.f64 (*.f64 (*.f64 e (sin.f64 v)) e) (cos.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 e (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 #s(literal -1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(fma.f64 (neg.f64 (/.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) e) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 (cos.f64 v) e) (neg.f64 (/.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 e (sin.f64 v)) (/.f64 (cos.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.f64 e #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(fma.f64 (neg.f64 (cos.f64 v)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v)) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (/.f64 (cos.f64 v) (neg.f64 e)) (/.f64 e (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(fma.f64 (neg.f64 e) (/.f64 (cos.f64 v) (*.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (/.f64 #s(literal -1 binary64) e) (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(fma.f64 e (neg.f64 (/.f64 (cos.f64 v) (*.f64 e (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))))) (/.f64 (pow.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))))))
(-.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 e (sin.f64 v)) e) (cos.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e (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 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) (*.f64 (*.f64 e (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 (/.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 e (sin.f64 v))) (/.f64 (/.f64 (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 e (sin.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(-.f64 (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 e (sin.f64 v))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v))) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(-.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (cos.f64 v) (sin.f64 v)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(+.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) (neg.f64 (/.f64 (cos.f64 v) (sin.f64 v))))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))

eval420.0ms (6.6%)

Memory
-164.1MiB live, 258.3MiB allocated
Compiler

Compiled 25 556 to 3 125 computations (87.8% saved)

prune40.0ms (0.6%)

Memory
-15.0MiB live, 104.1MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New93625961
Fresh426
Picked145
Done000
Total94131972
Accuracy
100.0%
Counts
972 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
43.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
98.0%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
69.3%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (*.f64 e (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))) (*.f64 e e)))
92.4%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (/.f64 (cos.f64 v) e) e))) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
94.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
43.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
96.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
38.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))))))))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
95.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
44.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
43.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
43.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
63.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
44.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
42.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Compiler

Compiled 1 445 to 926 computations (35.9% saved)

simplify168.0ms (2.6%)

Memory
2.4MiB live, 187.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 e)
cost-diff0
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
cost-diff0
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
cost-diff320
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff0
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
cost-diff0
(*.f64 e v)
cost-diff0
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
cost-diff6656
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046324
072315
1122315
2205315
3418311
41268311
53168308
66977308
08099301
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
v
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
v
(/.f64 (-.f64 #s(literal -1 binary64) e) e)
(-.f64 #s(literal -1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(sin.f64 v)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 v e)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 v e))
(*.f64 e v)
(*.f64 v e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))
v
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v))
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
v
(/.f64 (-.f64 #s(literal -1 binary64) e) e)
(-.f64 #s(literal -1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
e
(cos.f64 v)
v
#s(literal 1 binary64)
(*.f64 (sin.f64 v) e)
(sin.f64 v)

localize168.0ms (2.6%)

Memory
40.3MiB live, 272.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 v)
accuracy0.029628759768442016
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
accuracy0.140625
(*.f64 (sin.f64 v) e)
accuracy1.2195366751833374
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
accuracy0.39453125
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy1.023619028491423
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
accuracy11.645833025372731
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
accuracy35.699789914153634
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
accuracy0.0
(+.f64 #s(literal 1 binary64) e)
accuracy0.03125
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy0.234375
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy35.561416482144885
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
accuracy0.0
(*.f64 e v)
accuracy2.4948367524064503
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
accuracy35.561416482144885
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
accuracy0.0
(cos.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
accuracy0.24609375
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
accuracy0.4834175293053261
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
Samples
91.0ms256×0valid
Compiler

Compiled 571 to 90 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 18.0ms (26% of total)
ival-div: 15.0ms (21.7% of total)
ival-sin: 10.0ms (14.4% of total)
ival-add: 7.0ms (10.1% of total)
ival-cos: 6.0ms (8.7% of total)
ival-pow: 6.0ms (8.7% of total)
const: 4.0ms (5.8% of total)
ival-sub: 2.0ms (2.9% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (1%)

Memory
1.7MiB live, 91.0MiB allocated
Counts
22 → 103
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
(cos.f64 v)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (sin.f64 v) e)
Outputs
(/ 1 e)
(/ (+ 1 (* e (cos v))) 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))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(/ (+ 1 e) e)
1
(+ 1 e)
(/ (- (* -1/6 (pow v 2)) 1) (* e v))
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e)
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1/6 (pow v 2)) 1) e)
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e)
(+ 1 (* -1 (* e (cos v))))
(* -1 e)
(/ -1/6 e)
(/ (- (* 1/3 e) 1/6) e)
(cos v)
(+ (cos v) (/ 1 e))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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)))
(+ 1 (/ 1 e))
e
(* e (+ 1 (/ 1 e)))
(/ (- (* 1/3 (pow v 2)) 1) v)
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* 1/3 (pow v 2)) 1)
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
1/3
(- 1/3 (* 1/6 (/ 1 e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)
(* -1 (* e (- (cos v) (/ 1 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)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(* -1 (/ (+ 1 e) e))
(+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(+ 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)))
(* 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)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
e
@inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e))
9.0ms
v
@-inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e))
7.0ms
v
@0
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e))
6.0ms
e
@-inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e))
4.0ms
v
@inf
((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (cos v) (+ (* (/ (+ 1 e) e) -1/6) 1/2) (* (sin v) e))

simplify167.0ms (2.6%)

Memory
12.6MiB live, 204.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04692090
115181997
247011867
085351754
Stop Event
iter limit
node limit
Counts
103 → 101
Calls
Call 1
Inputs
(/ 1 e)
(/ (+ 1 (* e (cos v))) 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))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(/ (+ 1 e) e)
1
(+ 1 e)
(/ (- (* -1/6 (pow v 2)) 1) (* e v))
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e)
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1/6 (pow v 2)) 1) e)
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e)
(+ 1 (* -1 (* e (cos v))))
(* -1 e)
(/ -1/6 e)
(/ (- (* 1/3 e) 1/6) e)
(cos v)
(+ (cos v) (/ 1 e))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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)))
(+ 1 (/ 1 e))
e
(* e (+ 1 (/ 1 e)))
(/ (- (* 1/3 (pow v 2)) 1) v)
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* 1/3 (pow v 2)) 1)
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
1/3
(- 1/3 (* 1/6 (/ 1 e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)
(* -1 (* e (- (cos v) (/ 1 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)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(* -1 (/ (+ 1 e) e))
(+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(+ 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)))
(* 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)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
Outputs
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)
(* e v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* e (+ v (* e (- (* e v) v))))
(*.f64 (fma.f64 (-.f64 (*.f64 v e) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(*.f64 (fma.f64 (*.f64 v (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64))) e v) e)
(/ (+ 1 e) e)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(/ (- (* -1/6 (pow v 2)) 1) (* e v))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e)
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) e (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v))) e)
(/ -1 (* e (sin v)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v))) e)
(/ (- (* -1/6 (pow v 2)) 1) e)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)
(/ (- (+ (* -1/6 (pow v 2)) (* e (- (* 1/3 (pow v 2)) 1))) 1) e)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) e (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64))) e)
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(* -1 e)
(neg.f64 e)
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ (- (* 1/3 e) 1/6) e)
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) 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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) 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 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(- (+ v (/ v (pow e 2))) (/ v e))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(-.f64 (-.f64 v (/.f64 v (pow.f64 e #s(literal 3 binary64)))) (/.f64 (-.f64 v (/.f64 v e)) e))
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(/ (- (* 1/3 (pow v 2)) 1) v)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) v)
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v))))
(-.f64 (fma.f64 v (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (/.f64 #s(literal -1 binary64) v)) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(* -1 (/ (cos v) (sin v)))
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (/.f64 (cos.f64 v) (sin.f64 v)))
(- (* 1/3 (pow v 2)) 1)
(fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))
(- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) (+ 1 (/ 1 e)))
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(*.f64 (*.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))
(* -1 (* e (cos v)))
(*.f64 (neg.f64 e) (cos.f64 v))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 1/6 (/ 1 e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 v) 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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) e)) e))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 v) (+.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
(- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) v) v #s(literal 1 binary64)) e))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (*.f64 v v) (fma.f64 (*.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))) (/.f64 v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* -1 (/ (+ 1 e) (* e v)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) #s(literal -1/6 binary64) (+.f64 #s(literal -1/240 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/840 binary64)))) #s(literal 1/720 binary64)) (*.f64 v v) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64))))) (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(* -1 (/ (+ 1 e) e))
(/.f64 (-.f64 #s(literal -1 binary64) e) e)
(+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(* e (* v (+ 1 (* -1 e))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(fma.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(fma.f64 (fma.f64 (*.f64 e (fma.f64 (*.f64 #s(literal 1/720 binary64) v) v #s(literal -1/24 binary64))) (*.f64 v v) (*.f64 #s(literal 1/2 binary64) e)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal 1 binary64)) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))) (*.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 e (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))) v) v (*.f64 #s(literal -1/6 binary64) e)) (*.f64 v e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(sin v)
(sin.f64 v)
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v)
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v))
(* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)
(* (pow v 2) (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v) v)
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) e) v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (neg.f64 v))

rewrite220.0ms (3.5%)

Memory
-36.6MiB live, 283.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046274
072265
1284265
21975265
08282256
Stop Event
iter limit
node limit
iter limit
Counts
22 → 582
Calls
Call 1
Inputs
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
(cos.f64 v)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (sin.f64 v) e)
Outputs
(*.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (neg.f64 (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) (*.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (*.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/12 binary64)))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) e) (/.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (pow.f64 e #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))

eval176.0ms (2.8%)

Memory
22.6MiB live, 307.6MiB allocated
Compiler

Compiled 31 798 to 3 833 computations (87.9% saved)

prune50.0ms (0.8%)

Memory
-17.1MiB live, 146.5MiB allocated
Pruning

38 alts after pruning (32 fresh and 6 done)

PrunedKeptTotal
New77417791
Fresh71522
Picked325
Done044
Total78438822
Accuracy
100.0%
Counts
822 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
43.5%
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
98.0%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
94.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
94.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
5.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
41.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
4.9%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
41.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
5.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
96.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
99.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
95.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
42.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
98.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
43.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
44.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
97.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
2.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
42.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
68.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
42.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
Compiler

Compiled 1 986 to 1 381 computations (30.5% saved)

simplify116.0ms (1.8%)

Memory
3.6MiB live, 196.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 v))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
cost-diff0
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
cost-diff0
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
cost-diff0
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
cost-diff0
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
cost-diff0
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
cost-diff0
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
cost-diff128
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
cost-diff0
(fma.f64 (neg.f64 v) e v)
cost-diff0
(*.f64 (fma.f64 (neg.f64 v) e v) e)
cost-diff0
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
cost-diff0
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
cost-diff0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071474
0103474
1183472
2355472
3918464
42852464
56236458
08164447
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/4 binary64))
e
#s(literal -1/4 binary64)
(pow.f64 e #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(fma.f64 (neg.f64 v) e v)
(neg.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 v e)
v
e
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
#s(literal -1/6 binary64)
(*.f64 e #s(literal 2/3 binary64))
#s(literal 2/3 binary64)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
#s(literal 1/3 binary64)
v
(/.f64 #s(literal -1 binary64) v)
(/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
e
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(sin.f64 v)
v
e
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
(fma.f64 (pow.f64 e #s(literal -3/4 binary64)) (pow.f64 e #s(literal -1/4 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/4 binary64))
e
#s(literal -1/4 binary64)
(pow.f64 e #s(literal -3/4 binary64))
#s(literal -3/4 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(fma.f64 (neg.f64 v) e v)
(neg.f64 v)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e))
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (neg.f64 e)) v v) e)
(*.f64 v e)
v
e
(fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 e #s(literal 2/3 binary64))
(*.f64 #s(literal 2/3 binary64) e)
#s(literal 2/3 binary64)
(*.f64 v v)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
#s(literal 1/3 binary64)
v
(/.f64 #s(literal -1 binary64) v)
(/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) v)
#s(literal 1 binary64)
e
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(sin.f64 v)
v
e

localize201.0ms (3.2%)

Memory
20.4MiB live, 498.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(/.f64 #s(literal -1 binary64) (sin.f64 v))
accuracy0.2421875
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
accuracy1.023619028491423
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
accuracy2.4684072807414887
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
accuracy0.234375
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
accuracy0.23828125
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
accuracy1.023619028491423
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
accuracy35.699789914153634
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
accuracy0.296875
(*.f64 e #s(literal 2/3 binary64))
accuracy1.0315618330264673
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
accuracy1.2195366751833374
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
accuracy36.133737209618936
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
accuracy0.0
(neg.f64 v)
accuracy0.03515625
(*.f64 (fma.f64 (neg.f64 v) e v) e)
accuracy1.2745274480985227
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
accuracy35.561416482144885
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
accuracy0.0
(cos.f64 v)
accuracy0.0
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
accuracy0.24609375
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
accuracy0.3515625
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
Samples
157.0ms255×0valid
1.0ms3valid
Compiler

Compiled 771 to 141 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 30.0ms (22.5% of total)
const: 24.0ms (18% of total)
ival-div: 23.0ms (17.2% of total)
ival-add: 19.0ms (14.2% of total)
ival-cos: 12.0ms (9% of total)
ival-pow: 11.0ms (8.2% of total)
ival-sin: 7.0ms (5.2% of total)
ival-sub: 5.0ms (3.7% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.6%)

Memory
-6.8MiB live, 73.2MiB allocated
Counts
25 → 125
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
(sin.f64 v)
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(fma.f64 (neg.f64 v) e v)
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(cos.f64 v)
(neg.f64 v)
(*.f64 e #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (* e v)))
-1/6
(- (* 2/3 e) 1/6)
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1/6 (pow v 2)) 1) (* e v))
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e)
(* -1 (/ (+ (* 1/6 v) (/ 1 v)) e))
(/ (- (* e (- (* 1/3 v) (/ 1 v))) (+ (* 1/6 v) (/ 1 v))) e)
(* 2/3 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(cos v)
(+ (cos v) (/ 1 e))
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ (- (* 1/3 (pow v 2)) 1) v)
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v))))
(- (* 1/3 v) (/ 1 v))
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (sqrt -1)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3)))) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 3)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3)))) e)) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (cos v) (* -1 (/ (sqrt -1) e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (/ 1 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)))
(* e (* v (+ 1 (* -1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(* -1 (/ (+ 1 (/ 1 e)) v))
(/ (- (* (pow v 2) (- 1/3 (* 1/6 (/ 1 e)))) (+ 1 (/ 1 e))) v)
(/ -1 (* e v))
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ -1 v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) 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)))
(* -1 v)
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* v (- 1/3 (* 1/6 (/ 1 e))))
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e))))
(/ -1 (sin v))
(* 1/6 v)
(* v (+ 1/6 (/ 1 (pow v 2))))
(* 1/3 v)
(* v (- 1/3 (/ 1 (pow v 2))))
(* -1 (* e (* v (- e 1))))
(* -1 (* v (- e 1)))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3)))
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3)))
(* -1 (* v (- (/ 1 (pow v 2)) 1/3)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
v
@inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)))
7.0ms
v
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)))
5.0ms
e
@-inf
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)))
5.0ms
v
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)))
5.0ms
e
@0
((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (+ -1/6 (* e 2/3)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ -1 (sin v)) e) (/ -1 (sin v)) (cos v) (neg v) (* e 2/3) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)))

simplify166.0ms (2.6%)

Memory
-11.2MiB live, 202.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05342329
117172216
254502117
081321983
Stop Event
iter limit
node limit
Counts
125 → 124
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))))))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (* e v)))
-1/6
(- (* 2/3 e) 1/6)
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 2/3 (pow v 2)) 1))) (* v (+ 1 (* -1/6 (pow v 2))))))
(/ -1 (* e (sin v)))
(/ (- (* -1 (/ (* e (cos v)) (sin v))) (/ 1 (sin v))) e)
(/ (- (* -1/6 (pow v 2)) 1) (* e v))
(/ (- (+ (* -1/6 v) (* e (- (* 1/3 v) (/ 1 v)))) (/ 1 v)) e)
(* -1 (/ (+ (* 1/6 v) (/ 1 v)) e))
(/ (- (* e (- (* 1/3 v) (/ 1 v))) (+ (* 1/6 v) (/ 1 v))) e)
(* 2/3 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(cos v)
(+ (cos v) (/ 1 e))
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (* v (- (* 2/3 (pow v 2)) 1)))
(* (pow e 2) (+ (* v (- (* 2/3 (pow v 2)) 1)) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ (- (* 1/3 (pow v 2)) 1) v)
(- (+ (* -1/6 (/ v e)) (* 1/3 v)) (+ (/ 1 v) (/ 1 (* e v))))
(- (* 1/3 v) (/ 1 v))
(- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (sqrt -1)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 3)))) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 3)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 3)))) e)) (/ (* (sin v) (sqrt -1)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (cos v) (* -1 (/ (sqrt -1) e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* (pow e 2) (* v (+ 1 (* -2/3 (pow v 2))))))
(* (pow e 2) (+ (* -1 (* v (+ 1 (* -2/3 (pow v 2))))) (/ (* v (+ 1 (* -1/6 (pow v 2)))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 1 (/ 1 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)))
(* e (* v (+ 1 (* -1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e))))
(* -1 (/ (+ 1 e) (* e v)))
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(* -1 (/ (+ 1 (/ 1 e)) v))
(/ (- (* (pow v 2) (- 1/3 (* 1/6 (/ 1 e)))) (+ 1 (/ 1 e))) v)
(/ -1 (* e v))
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ -1 v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) 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)))
(* -1 v)
(/ 1 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(sin v)
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(* v (- 1/3 (* 1/6 (/ 1 e))))
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e))))
(/ -1 (sin v))
(* 1/6 v)
(* v (+ 1/6 (/ 1 (pow v 2))))
(* 1/3 v)
(* v (- 1/3 (/ 1 (pow v 2))))
(* -1 (* e (* v (- e 1))))
(* -1 (* v (- e 1)))
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3)))
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3)))
(* -1 (* v (- (/ 1 (pow v 2)) 1/3)))
Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (fma.f64 (neg.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64))) e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)) e (sin.f64 v)) e)
(/ 1 e)
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(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) v)
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(* e (* v (+ 1 (* -1 e))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(*.f64 (*.f64 e (fma.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(*.f64 (fma.f64 (*.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (*.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(* e (* v (- 1 e)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (- 1 e))))
(*.f64 (*.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))
(* -1 (/ (+ 1 e) (* e v)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) v)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1 (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))))))) (* -1/6 (/ (+ 1 e) e)))))) v)
(/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(/ (+ (* -1 (/ (+ 1 e) e)) (* (pow v 2) (+ 1/2 (+ (* -1/6 (/ (+ 1 e) e)) (* (pow v 2) (+ (* -1 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))))))) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) #s(literal -1/6 binary64) (+.f64 #s(literal -1/240 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/840 binary64)))) #s(literal 1/720 binary64)) (*.f64 v v) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64))))) (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(* -1 (/ (+ 1 (/ 1 e)) v))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) v)
(/ (- (* (pow v 2) (- 1/3 (* 1/6 (/ 1 e)))) (+ 1 (/ 1 e))) v)
(/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) (*.f64 v v) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ -1 (* e v))
(/.f64 #s(literal -1 binary64) (*.f64 v e))
(/ (- (* -1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e) v)
(/ (- (* (pow v 2) (- (* -7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 v (/.f64 v e)) (/.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) (/.f64 #s(literal -1 binary64) e)) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 v (/.f64 v e)) (/.f64 #s(literal -7/360 binary64) e)) (*.f64 v v) (/.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) (/.f64 #s(literal -1 binary64) e)) v)
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(/ (- (* -1/6 (pow v 2)) 1) v)
(/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)
(/ (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) v)
(/.f64 (fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal -1 binary64)) v)
(/ (- (* (pow v 2) (- (* (pow v 2) (- (* -31/15120 (pow v 2)) 7/360)) 1/6)) 1) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 v v) #s(literal -7/360 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal -1 binary64)) v)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(* -1 v)
(neg.f64 v)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) v) v #s(literal 1 binary64)) v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
(sin v)
(sin.f64 v)
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (* (pow v 3) (- (* 2/3 e) 1/6)))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(* (pow v 3) (+ (* e (- (* 2/3 e) 1/6)) (/ (* e (- 1 e)) (pow v 2))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))))
(* -1 (/ (+ 1 (* e (cos v))) (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)) e) (sin.f64 v))
(* v (+ 1/2 (* -1/6 (/ (+ 1 e) e))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v)
(* v (+ 1/2 (+ (* -1 (/ (+ 1 e) (* e (pow v 2)))) (* -1/6 (/ (+ 1 e) e)))))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) v)
(* v (- 1/3 (* 1/6 (/ 1 e))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)
(* v (- (+ 1/3 (* -1 (/ (+ 1 (/ 1 e)) (pow v 2)))) (* 1/6 (/ 1 e))))
(*.f64 (-.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) v)) (/.f64 #s(literal 1/6 binary64) e)) v)
(/ -1 (sin v))
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(* 1/6 v)
(*.f64 #s(literal 1/6 binary64) v)
(* v (+ 1/6 (/ 1 (pow v 2))))
(fma.f64 #s(literal 1/6 binary64) v (/.f64 v (*.f64 v v)))
(* 1/3 v)
(*.f64 #s(literal 1/3 binary64) v)
(* v (- 1/3 (/ 1 (pow v 2))))
(*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) v)) v)
(* -1 (* e (* v (- e 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* -1 (* v (- e 1)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* -1 (* (pow v 3) (+ (* -1 (* e (- (* 2/3 e) 1/6))) (* -1 (/ (* e (- 1 e)) (pow v 2))))))
(*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) e) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))))
(* -1 (* v (+ (* -1 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2))))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) e) (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) v (/.f64 v (*.f64 v v))))
(* -1 (* v (- (* 1/6 (/ 1 e)) 1/3)))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 1/3 binary64)) (neg.f64 v))
(* -1 (* v (- (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))) 1/3)))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) e) (/.f64 (/.f64 #s(literal 1 binary64) v) v)) (-.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal 1/3 binary64))) (neg.f64 v))
(* -1 (* v (- (/ 1 (pow v 2)) 1/3)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) v) #s(literal 1/3 binary64)) (neg.f64 v))

rewrite197.0ms (3.1%)

Memory
-5.4MiB live, 188.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071411
0103402
1453400
23605400
08511387
Stop Event
iter limit
node limit
iter limit
Counts
25 → 392
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
(sin.f64 v)
(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(fma.f64 (neg.f64 v) e v)
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
#s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)
(/.f64 #s(literal -1 binary64) (sin.f64 v))
(cos.f64 v)
(neg.f64 v)
(*.f64 e #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (-.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))) (pow.f64 e #s(literal -2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (neg.f64 (sin.f64 v)) (pow.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) (pow.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(pow.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)) (sin.f64 v))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) v) v)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))) (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal -1 binary64) v)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))) (+.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/6 binary64) v) v))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) v) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) v) v))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) v) v))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))))
(fma.f64 (pow.f64 v #s(literal -1/2 binary64)) (pow.f64 v #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) v))
(fma.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) v))
(fma.f64 #s(literal 1/6 binary64) v (pow.f64 v #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/6 binary64) v))
(fma.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) v))
(fma.f64 v #s(literal 1/6 binary64) (pow.f64 v #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal -1 binary64) v))) (/.f64 (pow.f64 v #s(literal -2 binary64)) (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal -1 binary64) v))))
(+.f64 (*.f64 #s(literal 1/6 binary64) v) (pow.f64 v #s(literal -1 binary64)))
(+.f64 (pow.f64 v #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) v))
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 v v)))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))))))
(/.f64 (-.f64 (pow.f64 v #s(literal -2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 v v))) (-.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))) (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))) (+.f64 (pow.f64 v #s(literal -2 binary64)) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (pow.f64 v #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 v v) (-.f64 (pow.f64 v #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) v) (neg.f64 v)))) (fma.f64 #s(literal 1/27 binary64) (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal -3 binary64)))))
(fma.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) v))
(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
(fma.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) v))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v))
(fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64)))) (/.f64 (pow.f64 v #s(literal -2 binary64)) (fma.f64 #s(literal 1/3 binary64) v (pow.f64 v #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) v) (/.f64 #s(literal -1 binary64) v))
(+.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 1/3 binary64) v))

eval70.0ms (1.1%)

Memory
26.0MiB live, 141.2MiB allocated
Compiler

Compiled 22 863 to 2 542 computations (88.9% saved)

prune46.0ms (0.7%)

Memory
-3.0MiB live, 73.1MiB allocated
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New49816514
Fresh121527
Picked415
Done066
Total51438552
Accuracy
100.0%
Counts
552 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.9%
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
98.2%
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
98.0%
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
94.5%
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
44.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
94.4%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))))
41.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
4.9%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
40.8%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
5.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
5.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
41.7%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
5.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
96.0%
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
97.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
99.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -5/8 binary64)) (cos.f64 v))))
99.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
99.6%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
95.8%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
42.0%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
44.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
97.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
97.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
43.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
22.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
42.1%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
22.3%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
42.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
42.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
68.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
42.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
42.4%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
20.9%
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
Compiler

Compiled 3 244 to 1 200 computations (63% saved)

regimes72.0ms (1.1%)

Memory
-16.7MiB live, 105.9MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) 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)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (*.f64 e (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))) (*.f64 e e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -3/8 binary64)) (pow.f64 e #s(literal -5/8 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (/.f64 (cos.f64 v) e) e))) (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64))) e) (*.f64 e (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))) (/.f64 (pow.f64 e #s(literal -2 binary64)) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64))))))))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
Calls

3 calls:

25.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
22.0ms
v
21.0ms
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 13 to 13 computations (0% saved)

regimes77.0ms (1.2%)

Memory
-13.1MiB live, 119.6MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) 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)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e)))
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (*.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

45.0ms
v
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
e
Results
AccuracySegmentsBranch
98.2%1e
98.2%1v
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.6%)

Memory
-4.5MiB live, 71.3MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) 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)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
Calls

3 calls:

12.0ms
v
12.0ms
e
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.1%1e
97.1%1v
97.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes39.0ms (0.6%)

Memory
29.9MiB live, 70.8MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) 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)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 #s(approx (/ (sin v) (+ (* (cos v) e) 1)) (sin.f64 v)) e)
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
Calls

3 calls:

14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
v
11.0ms
e
Results
AccuracySegmentsBranch
96.0%1e
96.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.3%2v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes36.0ms (0.6%)

Memory
-4.6MiB live, 71.5MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) 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)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 #s(approx (+ -1/6 (* e 2/3)) #s(literal -1/6 binary64)) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (* v e) (+ (* (+ -1/6 (* e 2/3)) (* v v)) (- 1 e))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 2/3 binary64) #s(literal -1 binary64)) v) e) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (/ -1 (sin v)) e) (/.f64 #s(literal -1 binary64) (*.f64 v e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (*.f64 (*.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (*.f64 (fma.f64 (*.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (*.f64 (*.f64 v e) (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)) v (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (*.f64 v e)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v) e))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ -1 (sin v)) (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) v)) e)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64)) v) v)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (+ 1 e) e) -1/6) 1/2) (/.f64 #s(literal -1/6 binary64) e)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ 1 e) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) v) v (fma.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
Calls

3 calls:

12.0ms
v
12.0ms
e
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
44.4%1e
44.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
44.4%1v
Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.2%)

Memory
-14.3MiB live, 23.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
Calls

3 calls:

5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
3.0ms
v
Results
AccuracySegmentsBranch
43.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
43.3%1v
43.3%1e
Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Accuracy

Total -13.6b remaining (-36.7%)

Threshold costs -13.6b (-36.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (+ (* (neg v) e) v) e) (*.f64 (*.f64 (neg.f64 e) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 #s(approx (+ (* (neg v) e) v) (*.f64 (neg.f64 e) v)) e)))
Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.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
42.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
42.1%1v
42.1%1e
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch4.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
8.16337446207046e-12
9.726066117588573e-12
Samples
2.0ms32×0valid
Compiler

Compiled 84 to 70 computations (16.7% saved)

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

simplify97.0ms (1.5%)

Memory
-5.5MiB live, 75.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044161
166160
289160
3111160
4127160
5180160
6897160
72589160
85627160
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.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 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.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 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(if (<=.f64 v #s(literal 1470053796651389/154742504910672534362390528 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

soundness809.0ms (12.7%)

Memory
1.3MiB live, 486.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195834
1584820
21675788
34986730
08150668
0929
01529
14229
224129
3214329
0849827
04692090
115181997
247011867
085351754
04482322
114312245
241952190
087802071
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 244 to 109 computations (55.3% saved)

preprocess74.0ms (1.2%)

Memory
-10.6MiB live, 64.6MiB allocated
Remove

(negabs v)

Compiler

Compiled 364 to 124 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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