Trigonometry A

Time bar (total: 9.9s)

analyze7.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (16.3%)

Memory
37.1MiB live, 1 275.0MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 835.0ms
ival-sin: 336.0ms (40.2% of total)
ival-cos: 212.0ms (25.4% of total)
ival-mult: 99.0ms (11.9% of total)
ival-<=: 62.0ms (7.4% of total)
ival-add: 53.0ms (6.3% of total)
ival-div: 48.0ms (5.7% of total)
ival-and: 11.0ms (1.3% of total)
exact: 11.0ms (1.3% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess73.0ms (0.7%)

Memory
5.5MiB live, 42.6MiB allocated
Algorithm
1×egg-herbie
Rules
524×times-frac
318×distribute-lft-neg-in
308×distribute-rgt-in
302×associate-*r*
292×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs v)

explain127.0ms (1.3%)

Memory
-10.8MiB live, 306.0MiB 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
57.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-cos: 12.0ms (32.5% of total)
ival-sin: 11.0ms (29.8% of total)
ival-mult: 6.0ms (16.2% of total)
ival-div: 4.0ms (10.8% of total)
ival-add: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.4%)

Memory
2.1MiB live, 81.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Samples
27.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 6.0ms (30.9% of total)
ival-div: 5.0ms (25.7% of total)
ival-cos: 5.0ms (25.7% of total)
ival-mult: 3.0ms (15.4% of total)
ival-add: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-19.2MiB live, 20.2MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

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

rewrite343.0ms (3.5%)

Memory
10.1MiB live, 531.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
14229
224129
3209729
0837027
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 347
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))) (/.f64 (/.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))))
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(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify425.0ms (4.3%)

Memory
6.7MiB live, 674.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
5 646×lower-*.f64
5 646×lower-*.f32
3 948×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval56.0ms (0.6%)

Memory
26.2MiB live, 144.9MiB allocated
Compiler

Compiled 13 512 to 1 267 computations (90.6% saved)

prune62.0ms (0.6%)

Memory
-22.2MiB live, 143.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New45411465
Fresh000
Picked101
Done000
Total45511466
Accuracy
99.9%
Counts
466 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶53.4%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
99.7%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶98.5%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
52.9%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶97.2%
(*.f64 e (sin.f64 v))
Compiler

Compiled 294 to 186 computations (36.7% saved)

simplify152.0ms (1.5%)

Memory
9.9MiB live, 128.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Rules
1 544×lower-fma.f32
1 538×lower-fma.f64
1 112×lower-*.f32
1 104×lower-*.f64
768×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018111
036111
167111
2105111
3229111
4431111
5504111
6687111
71024111
81368111
91815111
102509111
113045111
123108111
133120111
143124111
153124111
163216111
173234111
183234111
03234111
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)

localize81.0ms (0.8%)

Memory
-16.6MiB live, 179.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Samples
50.0ms256×0valid
Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 10.0ms (31.1% of total)
ival-div: 6.0ms (18.6% of total)
ival-sin: 6.0ms (18.6% of total)
ival-cos: 5.0ms (15.5% of total)
ival-add: 4.0ms (12.4% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
3.5MiB live, 41.7MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e v)>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))>
#<alt (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)>
#<alt (cos.f64 v)>
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (neg.f64 e)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* v (+ e (* -1 (pow e 2))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (+ e (* -1 (pow e 2)))>
#<alt (+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

72 calls:

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

rewrite394.0ms (4%)

Memory
-8.2MiB live, 631.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 516×lower-fma.f32
6 510×lower-fma.f64
5 026×lower-*.f32
5 018×lower-*.f64
3 636×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
03680
114280
276480
3735480
0806180
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 907
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (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) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (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 (/.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))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(+.f64 (neg.f64 e) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) e) e)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (*.f64 e (*.f64 e e)) (*.f64 e e)))
(fma.f64 e #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 e (/.f64 (neg.f64 e) e) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) (/.f64 e e) #s(literal 0 binary64))
(fma.f64 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 0 binary64))
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (*.f64 e (*.f64 e (neg.f64 e)))))
(/.f64 (*.f64 e (neg.f64 e)) e)
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 e e))
(/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (*.f64 e (*.f64 e (neg.f64 e)))) (*.f64 e (neg.f64 e)))
(*.f64 e #s(literal -1 binary64))
(*.f64 e (/.f64 (neg.f64 e) e))
(*.f64 #s(literal 1 binary64) (neg.f64 e))
(*.f64 (neg.f64 e) #s(literal 1 binary64))
(*.f64 (neg.f64 e) (/.f64 e e))
(*.f64 (*.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

simplify661.0ms (6.7%)

Memory
-208.2MiB live, 883.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 180×lower-fma.f64
14 180×lower-fma.f32
6 252×lower-*.f64
6 252×lower-*.f32
5 556×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03533251
111083128
232883060
082722863
Stop Event
1×iter limit
1×node limit
Counts
288 → 282
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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Outputs
(* e (sin v))
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(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)

eval154.0ms (1.6%)

Memory
36.8MiB live, 374.2MiB allocated
Compiler

Compiled 27 614 to 2 335 computations (91.5% saved)

prune163.0ms (1.6%)

Memory
-16.0MiB live, 385.2MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 289231 312
Fresh516
Picked235
Done000
Total1 296271 323
Accuracy
100.0%
Counts
1 323 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
67.0%
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
54.7%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
▶54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
54.6%
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
53.4%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.1%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
52.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
53.4%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
53.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
✓98.5%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.9%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
▶98.5%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
51.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
▶50.9%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
51.7%
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
51.0%
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
50.9%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
52.2%
(*.f64 e (-.f64 v (*.f64 e v)))
98.4%
(*.f64 e (*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v)))))
✓97.2%
(*.f64 e (sin.f64 v))
▶51.5%
(*.f64 e v)
Compiler

Compiled 901 to 480 computations (46.7% saved)

simplify412.0ms (4.2%)

Memory
-11.5MiB live, 723.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓cost-diff0
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
18 090×lower-fma.f32
18 078×lower-fma.f64
3 932×lower-*.f32
3 920×lower-*.f64
2 124×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026167
052167
1105159
2247159
3648158
41275158
51638158
62251158
73398158
84567158
97521158
08113153
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
e
v
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
(neg.f64 e)
e
#s(literal 1 binary64)
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
(*.f64 v e)
e
v
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(cos.f64 v)
(neg.f64 e)
e
#s(literal 1 binary64)

localize107.0ms (1.1%)

Memory
-3.5MiB live, 233.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
✓accuracy99.8%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
✓accuracy100.0%
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
✓accuracy99.8%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓accuracy80.9%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.8%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓accuracy91.1%
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
69.0ms256×0valid
Compiler

Compiled 189 to 34 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 17.0ms (32.4% of total)
ival-add: 8.0ms (15.3% of total)
ival-sin: 7.0ms (13.4% of total)
ival-cos: 7.0ms (13.4% of total)
ival-div: 6.0ms (11.5% of total)
const: 6.0ms (11.5% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
2.6MiB live, 40.5MiB allocated
Counts
19 → 372
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (sin.f64 v)>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 e v)>
#<alt (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))>
#<alt (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)>
#<alt (*.f64 (*.f64 v v) #s(literal -1/6 binary64))>
#<alt (*.f64 v v)>
#<alt (/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))>
#<alt (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)>
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))>
#<alt (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)>
#<alt (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))>
#<alt (neg.f64 e)>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (* -1/3 e)>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1/3 e)>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (+ 1 (* -1 e))>
#<alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))>
#<alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (+ 1 (* -1 (* e (cos v))))>
#<alt (* -1 (* e (cos v)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* e (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* e (cos v)))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt (* -1 (* e (- (cos v) (/ 1 e))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

93 calls:

TimeVariablePointExpression
6.0ms
v
@inf
(* (sin v) (* (+ (* (cos v) (neg e)) 1) e))
1.0ms
v
@0
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
e
@inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
v
@inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
e
@0
(* v (+ (* e (* (* v v) -1/6)) e))

rewrite319.0ms (3.2%)

Memory
21.2MiB live, 455.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 940×lower-fma.f32
4 928×lower-fma.f64
4 366×lower-/.f32
4 358×lower-/.f64
4 260×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026141
052140
1214132
21691130
08435126
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 748
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e v)
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(neg.f64 e)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 e))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
(exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) e))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e) #s(literal -1 binary64))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (neg.f64 e))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (neg.f64 (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (neg.f64 (neg.f64 e)))
(/.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) e)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 e))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)))
(/.f64 (neg.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 e))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))
(pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)))
(*.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) e)))
(*.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (*.f64 e #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 e e))) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 e e) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 e e)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (+.f64 e #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))
(*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 e e) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 e e)) (*.f64 e #s(literal 1/36 binary64))))))
(*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 e e) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))))))
(*.f64 (neg.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))))
(*.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
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(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))) (/.f64 (*.f64 e (*.f64 e e)) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) e)) (/.f64 (*.f64 e e) (+.f64 #s(literal 0 binary64) e)))
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e))) (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) e) (-.f64 #s(literal 0 binary64) (*.f64 e e))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (+.f64 #s(literal 0 binary64) e))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e))) (neg.f64 (+.f64 #s(literal 0 binary64) e)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (*.f64 e e)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(*.f64 e #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) e)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 e e (*.f64 #s(literal 0 binary64) e)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) e)))

simplify367.0ms (3.7%)

Memory
-7.4MiB live, 468.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 532×lower-fma.f64
8 532×lower-fma.f32
7 138×lower-*.f64
7 138×lower-*.f32
2 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05374537
117524323
259994308
082203983
Stop Event
1×iter limit
1×node limit
Counts
372 → 369
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
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(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
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(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
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(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(pow v 2)
(pow v 2)
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(pow v 2)
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(pow v 2)
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(pow v 2)
(pow v 2)
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(/ (* e v) (+ 1 (* 1/6 (pow v 2))))
(* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))
(* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))
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(+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))
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(/ (* e v) (+ 1 e))
(* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
(/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)
(/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)
(/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)
(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))
1/6
(+ 1/6 (* -1/3 e))
(+ 1/6 (* -1/3 e))
(+ 1/6 (* -1/3 e))
(* -1/3 e)
(* e (- (* 1/6 (/ 1 e)) 1/3))
(* e (- (* 1/6 (/ 1 e)) 1/3))
(* e (- (* 1/6 (/ 1 e)) 1/3))
(* -1/3 e)
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))
(* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(/ (+ 1 (* 1/6 (pow v 2))) v)
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v)
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(+ 1 e)
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(+ 1 (* 1/6 (pow v 2)))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 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 (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ 1 (* -1 e)))
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(+ 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 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
1/6
(+ 1/6 (* 1/6 e))
(+ 1/6 (* 1/6 e))
(+ 1/6 (* 1/6 e))
(* 1/6 e)
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* 1/6 e)
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
Outputs
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64) (fma.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 e (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64)) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64) (fma.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e (*.f64 (neg.f64 (sin.f64 v)) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
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eval165.0ms (1.7%)

Memory
49.1MiB live, 234.8MiB allocated
Compiler

Compiled 33 212 to 3 306 computations (90% saved)

prune156.0ms (1.6%)

Memory
-16.4MiB live, 311.2MiB allocated
Pruning

49 alts after pruning (44 fresh and 5 done)

PrunedKeptTotal
New1 131291 160
Fresh41519
Picked325
Done033
Total1 138491 187
Accuracy
100.0%
Counts
1 187 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶2.5%
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
51.0%
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
27.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
41.6%
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
67.0%
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
52.6%
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
97.0%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
▶6.0%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
54.7%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
54.0%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
54.0%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
54.6%
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
6.0%
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
53.4%
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
53.5%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
53.4%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.1%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
54.5%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
5.1%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
53.8%
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
2.5%
(-.f64 v (/.f64 v e))
50.9%
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
53.4%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
54.6%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
53.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
54.6%
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
▶54.6%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
70.5%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓98.5%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.9%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
✓98.5%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
51.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
50.9%
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
52.2%
(*.f64 v (-.f64 e (*.f64 e e)))
28.8%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
51.0%
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
50.9%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
▶52.2%
(*.f64 e (-.f64 v (*.f64 e v)))
✓97.2%
(*.f64 e (sin.f64 v))
✓51.5%
(*.f64 e v)
6.0%
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
Compiler

Compiled 1 703 to 932 computations (45.3% saved)

simplify289.0ms (2.9%)

Memory
3.2MiB live, 469.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓cost-diff128
(neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))
✓cost-diff576
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))
✓cost-diff0
(*.f64 v e)
✓cost-diff320
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(-.f64 v (*.f64 e v))
✓cost-diff0
(*.f64 e (-.f64 v (*.f64 e v)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
Rules
11 390×lower-fma.f32
11 378×lower-fma.f64
4 870×lower-*.f32
4 850×lower-*.f64
1 480×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030241
060241
1126239
2295233
3841233
42954232
55932232
08349227
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
v
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(*.f64 v e)
v
e
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/3 binary64))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
v
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))))
(*.f64 v e)
(*.f64 e v)
v
e
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/3 binary64)
#s(literal 1/6 binary64)
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64))))))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(/.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/9 binary64) #s(literal -2/3 binary64)) e))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/9 binary64) #s(literal -2/3 binary64)) e)
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
#s(literal -1/3 binary64)
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/3 binary64))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))

localize131.0ms (1.3%)

Memory
-9.6MiB live, 165.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy93.1%
(/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
✓accuracy91.1%
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)
✓accuracy80.9%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓accuracy77.6%
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
✓accuracy99.9%
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
✓accuracy99.5%
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))
✓accuracy95.2%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓accuracy80.9%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 v (*.f64 e v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy99.9%
(*.f64 e (-.f64 v (*.f64 e v)))
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
Samples
82.0ms256×0valid
Compiler

Compiled 269 to 37 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 21.0ms (32.7% of total)
ival-mult: 21.0ms (32.7% of total)
ival-div: 6.0ms (9.3% of total)
ival-sin: 6.0ms (9.3% of total)
const: 6.0ms (9.3% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
2.3MiB live, 39.2MiB allocated
Counts
22 → 444
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (*.f64 e (-.f64 v (*.f64 e v)))>
#<alt (-.f64 v (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))>
#<alt (*.f64 v v)>
#<alt (*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))>
#<alt (*.f64 v e)>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))>
#<alt (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))>
#<alt (fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))>
#<alt (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))>
#<alt (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)>
#<alt (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)>
#<alt (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt v>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (* -1 (* e v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* -1 (* e v))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt v>
#<alt (* v (+ 1 (* 1/3 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))>
#<alt (* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)>
#<alt (/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)>
#<alt (/ -3 v)>
#<alt (* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (+ 1 (* -1/3 (pow v 2)))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* -1/3 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 1/3))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (* -1/3 e)))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (* -1/3 e))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (* -1/3 e)) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (* -1/3 e))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (* -1/3 e))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2)))) (/ e (+ 1/6 (* -1/3 e)))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (* -1/3 e))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (* -1/3 e)) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (* -1/3 e)) 4)))) (/ e (+ 1/6 (* -1/3 e)))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (* -1/3 e)) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (* -1/3 e))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (* -1/3 e)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (* -1/3 e)))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (* -1/3 e)) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (* -1/3 e)))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (* -1/3 e)) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (* -1/3 e)) 4)))))) v))>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (/ 1 (+ 1 e))>
#<alt (+ (* -1 (* (pow v 2) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2)))))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (/ (* (pow v 2) (* (+ 1/6 (* -1/3 e)) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2)))))) (+ 1 e)) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2)))))) (/ 1 (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* (pow v 2) (* (pow (+ 1/6 (* -1/3 e)) 2) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2)))))) (pow (+ 1 e) 2))) (* -1 (/ (* (+ 1/6 (* -1/3 e)) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2))))) (+ 1 e))))) (+ (* -1/3 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (pow (+ 1 e) 2)))))) (/ 1 (+ 1 e)))>
#<alt (/ 1 (* (pow v 2) (+ 1/6 (* -1/3 e))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2))) (pow v 2))) (/ 1 (+ 1/6 (* -1/3 e)))) (pow v 2))>
#<alt (/ (- (+ (/ 1 (+ 1/6 (* -1/3 e))) (/ (* (+ 1 e) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 4) (+ 1/6 (* -1/3 e))))) (+ (/ 1 (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (/ e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))))) (pow v 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 e) 2) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 6) (pow (+ 1/6 (* -1/3 e)) 2)))) (/ 1 (+ 1/6 (* -1/3 e)))) (+ (* -1 (/ (* (+ 1 e) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 4) (+ 1/6 (* -1/3 e))))) (+ (/ 1 (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (/ e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2)))))) (pow v 2))>
#<alt (/ 1 (* (pow v 2) (+ 1/6 (* -1/3 e))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2))) (pow v 2))) (/ 1 (+ 1/6 (* -1/3 e)))) (pow v 2))>
#<alt (/ (- (+ (/ 1 (+ 1/6 (* -1/3 e))) (/ (* (+ 1 e) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 4) (+ 1/6 (* -1/3 e))))) (+ (/ 1 (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (/ e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))))) (pow v 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 e) 2) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 6) (pow (+ 1/6 (* -1/3 e)) 2)))) (/ 1 (+ 1/6 (* -1/3 e)))) (+ (* -1 (/ (* (+ 1 e) (+ (/ 1 (pow (+ 1/6 (* -1/3 e)) 2)) (/ e (pow (+ 1/6 (* -1/3 e)) 2)))) (* (pow v 4) (+ 1/6 (* -1/3 e))))) (+ (/ 1 (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2))) (/ e (* (pow v 2) (pow (+ 1/6 (* -1/3 e)) 2)))))) (pow v 2))>
#<alt (/ 1 (+ 1 (* 1/6 (pow v 2))))>
#<alt (+ (* -1 (* e (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2))))) (/ 1 (+ 1 (* 1/6 (pow v 2)))))>
#<alt (+ (* e (- (/ (* e (* (+ 1 (* -1/3 (pow v 2))) (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2))))) (+ 1 (* 1/6 (pow v 2)))) (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2))))) (/ 1 (+ 1 (* 1/6 (pow v 2)))))>
#<alt (+ (* e (- (* e (- (* -1 (/ (* e (* (pow (+ 1 (* -1/3 (pow v 2))) 2) (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (* -1 (/ (* (+ 1 (* -1/3 (pow v 2))) (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (+ 1 (* 1/6 (pow v 2))))))) (+ (* -1/3 (/ (pow v 2) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* 1/6 (pow v 2))) 2))))) (/ 1 (+ 1 (* 1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/3 (pow v 2)))))>
#<alt (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow v 2) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* -1/3 (pow v 2))) 2))) e)) (/ 1 (+ 1 (* -1/3 (pow v 2))))) e)>
#<alt (/ (- (+ (/ 1 (+ 1 (* -1/3 (pow v 2)))) (/ (* (+ 1 (* 1/6 (pow v 2))) (+ (* 1/6 (/ (pow v 2) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (* (pow e 2) (+ 1 (* -1/3 (pow v 2)))))) (+ (* 1/6 (/ (pow v 2) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ 1 (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))) e)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 (* 1/6 (pow v 2))) 2) (+ (* 1/6 (/ (pow v 2) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ 1 (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* (+ 1 (* 1/6 (pow v 2))) (+ (* 1/6 (/ (pow v 2) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ 1 (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (* (pow e 2) (+ 1 (* -1/3 (pow v 2)))))) (+ (* 1/6 (/ (pow v 2) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ 1 (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))) e)>
#<alt (/ -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (/ (+ (* 1/6 (/ (pow v 2) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))) (+ (/ 1 (* e (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (- (* 1/3 (pow v 2)) 1)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 (* 1/6 (pow v 2))) (+ (* 1/6 (/ (pow v 2) (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (pow (- (* 1/3 (pow v 2)) 1) 2)))) (* e (- (* 1/3 (pow v 2)) 1)))) (+ (* 1/6 (/ (pow v 2) (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (pow (- (* 1/3 (pow v 2)) 1) 2)))) e)) (/ 1 (- (* 1/3 (pow v 2)) 1))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 (* 1/6 (pow v 2))) 2) (+ (* 1/6 (/ (pow v 2) (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (pow (- (* 1/3 (pow v 2)) 1) 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2))) (* -1 (/ (* (+ 1 (* 1/6 (pow v 2))) (+ (* 1/6 (/ (pow v 2) (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (pow (- (* 1/3 (pow v 2)) 1) 2)))) (- (* 1/3 (pow v 2)) 1)))) e)) (+ (* 1/6 (/ (pow v 2) (pow (- (* 1/3 (pow v 2)) 1) 2))) (/ 1 (pow (- (* 1/3 (pow v 2)) 1) 2)))) e)) (/ 1 (- (* 1/3 (pow v 2)) 1))) e))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (* -1/3 e)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (* -1/3 e)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (* -1/3 e)))))>
#<alt (* (pow v 2) (+ 1/6 (* -1/3 e)))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (* -1/3 e)))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* v (- 1 (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- 1/3 (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- 1/9 (* 4/9 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* v (- (+ 1 (* (pow v 2) (- (+ 1/3 (* (pow v 2) (- (+ 1/9 (* (pow v 2) (- 1/27 (* 11/54 (/ 1 e))))) (* 4/9 (/ 1 e))))) (* 5/6 (/ 1 e))))) (/ 1 e)))>
#<alt (* -1 (/ (+ 3 (* 3/2 (/ 1 e))) v))>
#<alt (/ (- (* -1 (/ (+ 9 (* 18 (/ 1 e))) (pow v 2))) (+ 3 (* 3/2 (/ 1 e)))) v)>
#<alt (/ (- (* -1 (/ (+ 27 (* 189/2 (/ 1 e))) (pow v 4))) (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 9 (/ 1 (pow v 2))) (/ 18 (* e (pow v 2))))))) v)>
#<alt (/ (- (* -1 (/ (+ 81 (* 405 (/ 1 e))) (pow v 6))) (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (/ 18 (* e (pow v 2))) (/ 27 (pow v 4)))))))) v)>
#<alt (* -1 (/ (+ 3 (* 3/2 (/ 1 e))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 9 (/ 1 (pow v 2))) (/ 18 (* e (pow v 2)))))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (/ 18 (* e (pow v 2))) (/ 27 (pow v 4))))))) v))>
#<alt (* -1 (/ (+ 3 (+ (* 3/2 (/ 1 e)) (+ (* 189/2 (/ 1 (* e (pow v 4)))) (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (+ (/ 18 (* e (pow v 2))) (+ (/ 27 (pow v 4)) (/ 405 (* e (pow v 6)))))))))) v))>
#<alt (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (/ (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ (* e v) (+ 1 (* -1/3 (pow v 2))))) e)>
#<alt (/ (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ (* e v) (+ 1 (* -1/3 (pow v 2))))) e)>
#<alt (/ (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (+ 1 (* -1/3 (pow v 2))) 2))) (/ (* e v) (+ 1 (* -1/3 (pow v 2))))) e)>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt e>
#<alt (+ e (* -2/3 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -2/3 e) (* 1/9 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -2/3 e) (* 1/9 (* e (pow v 2))))))>
#<alt (* 1/9 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (* 1/9 e)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* 1/9 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (* 1/9 e)))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* (pow v 4) (+ (* -2/3 (/ e (pow v 2))) (+ (* 1/9 e) (/ e (pow v 4)))))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))>
#<alt (* -1 (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1))))>
#<alt (* -1 (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1))))>
#<alt (* -1 (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1))))>
#<alt (* -1 (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1))))>
#<alt -1>
#<alt (- (* -1/6 (pow v 2)) 1)>
#<alt (- (* -1/6 (pow v 2)) 1)>
#<alt (- (* -1/6 (pow v 2)) 1)>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 2) (+ 1/6 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (* 1/6 (pow v 2))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/6 (pow v 2))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (+ 1/6 (/ 1 (pow v 2))))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* v (+ 1/6 (* -1/3 e)))>
#<alt (* 1/6 v)>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (+ (* -1/3 (* e v)) (* 1/6 v))>
#<alt (* -1/3 (* e v))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* e (+ (* -1/3 v) (* 1/6 (/ v e))))>
#<alt (* -1/3 (* e v))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))>
#<alt e>
#<alt (+ e (* (pow v 2) (+ 1/6 (* -1/3 e))))>
#<alt (+ e (* (pow v 2) (+ 1/6 (* -1/3 e))))>
#<alt (+ e (* (pow v 2) (+ 1/6 (* -1/3 e))))>
#<alt (* (pow v 2) (+ 1/6 (* -1/3 e)))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/6 (* -1/3 e)))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/3 e) (/ e (pow v 2)))))>
#<alt (* 1/6 (pow v 2))>
#<alt (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))>
#<alt (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt e>
#<alt (+ e (* -1/3 (* e (pow v 2))))>
#<alt (+ e (* -1/3 (* e (pow v 2))))>
#<alt (+ e (* -1/3 (* e (pow v 2))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))>
#<alt (/ v e)>
#<alt (* v (+ (* 2/3 (/ (pow v 2) e)) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* 1/3 (/ (pow v 2) e)) (* 2/3 (/ 1 e)))) (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/27 (/ (pow v 2) e)) (* 1/3 (/ 1 e)))) (* 2/3 (/ 1 e)))) (/ 1 e)))>
#<alt (/ 9 (* e (pow v 3)))>
#<alt (/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))>
#<alt (/ (+ (* 9 (/ 1 e)) (+ (/ 54 (* e (pow v 2))) (/ 243 (* e (pow v 4))))) (pow v 3))>
#<alt (/ (+ (* 9 (/ 1 e)) (+ (* 243 (/ 1 (* e (pow v 4)))) (+ (* 972 (/ 1 (* e (pow v 6)))) (/ 54 (* e (pow v 2)))))) (pow v 3))>
#<alt (/ 9 (* e (pow v 3)))>
#<alt (/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 54 (/ 1 e)) (* 243 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 9 (/ 1 e))) (pow v 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 243 (/ 1 e)) (* 972 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 9 (/ 1 e)) (/ 54 (* e (pow v 2))))) (pow v 3)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))>
#<alt (* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt (* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt (* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
#<alt (* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))>
Calls

111 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(+ (* (neg (+ (* v (* v 1/6)) 1)) (/ v (* (+ (* (* v v) -1/3) 1) (+ (* e (* (* v v) -1/3)) e)))) (/ v (+ (* (* v v) -1/3) 1)))
1.0ms
e
@0
(+ (* (neg (+ (* v (* v 1/6)) 1)) (/ v (* (+ (* (* v v) -1/3) 1) (+ (* e (* (* v v) -1/3)) e)))) (/ v (+ (* (* v v) -1/3) 1)))
1.0ms
e
@-inf
(+ (* (neg (+ (* v (* v 1/6)) 1)) (/ v (* (+ (* (* v v) -1/3) 1) (+ (* e (* (* v v) -1/3)) e)))) (/ v (+ (* (* v v) -1/3) 1)))
1.0ms
e
@inf
(/ 1 (+ 1 (+ (* v (* v (+ (* e -1/3) 1/6))) e)))
1.0ms
v
@inf
(* (* v e) (/ 1 (+ 1 (+ (* v (* v (+ (* e -1/3) 1/6))) e))))

rewrite451.0ms (4.6%)

Memory
22.7MiB live, 500.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 306×lower-*.f32
5 286×lower-*.f64
4 702×lower-/.f32
4 694×lower-/.f64
3 484×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
060192
1256192
22095192
08865190
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 003
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(+.f64 e #s(literal 1 binary64))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (*.f64 e v))
(*.f64 e v)
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(*.f64 v e)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))
(neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)
(/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64)))))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) e)
(-.f64 (/.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
(fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (fma.f64 e (*.f64 e e) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64)))))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e)))
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (neg.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 e e) e))))
(/.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (+.f64 e #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(/.f64 (-.f64 (*.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64))) (*.f64 (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (neg.f64 (-.f64 #s(literal 1 binary64) e)))
(pow.f64 (/.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (-.f64 #s(literal 1 binary64) e))))
(*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
(+.f64 (*.f64 e v) (*.f64 e (*.f64 e (neg.f64 v))))
(+.f64 (*.f64 e v) (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 e v (*.f64 e (*.f64 e (neg.f64 v))))
(fma.f64 e v (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 e (*.f64 v #s(literal 1 binary64)) (*.f64 e (*.f64 e (neg.f64 v))))
(fma.f64 e (*.f64 v #s(literal 1 binary64)) (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 v e (*.f64 e (*.f64 e (neg.f64 v))))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 #s(literal 1 binary64) (*.f64 e v) (*.f64 e (*.f64 e (neg.f64 v))))
(fma.f64 #s(literal 1 binary64) (*.f64 e v) (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 (*.f64 e v) #s(literal 1 binary64) (*.f64 e (*.f64 e (neg.f64 v))))
(fma.f64 (*.f64 e v) #s(literal 1 binary64) (*.f64 (*.f64 e (neg.f64 v)) e))
(/.f64 (*.f64 e (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v)))) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))
(/.f64 (*.f64 e (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v)))) (fma.f64 e v v))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))) e) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))
(/.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))
(/.f64 (neg.f64 (*.f64 e (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))))) (neg.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 e (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))))) (neg.f64 (fma.f64 e v v)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))) e)) (neg.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)) (neg.f64 (fma.f64 e v v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 (-.f64 v (*.f64 e v)) e)
(+.f64 v (*.f64 e (neg.f64 v)))
(+.f64 (*.f64 e (neg.f64 v)) v)
(-.f64 v (*.f64 e v))
(-.f64 (/.f64 (*.f64 v (*.f64 v v)) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) (/.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(-.f64 (/.f64 (*.f64 v v) (fma.f64 e v v)) (/.f64 (*.f64 e (*.f64 e (*.f64 v v))) (fma.f64 e v v)))
(fma.f64 e (neg.f64 v) v)
(fma.f64 v (neg.f64 e) v)
(fma.f64 #s(literal -1 binary64) (*.f64 e v) v)
(fma.f64 (neg.f64 v) e v)
(fma.f64 (neg.f64 e) v v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e v v) (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))))))
(/.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))
(/.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))) (fma.f64 v v (-.f64 (*.f64 e (*.f64 e (*.f64 v v))) (*.f64 v (*.f64 e (neg.f64 v))))))
(/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v))
(/.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (-.f64 v (*.f64 e (neg.f64 v))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v)))) (neg.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v)))) (neg.f64 (fma.f64 v v (-.f64 (*.f64 e (*.f64 e (*.f64 v v))) (*.f64 v (*.f64 e (neg.f64 v)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v)))) (neg.f64 (fma.f64 e v v)))
(/.f64 (neg.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v)))) (neg.f64 (-.f64 v (*.f64 e (neg.f64 v)))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v v)) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))) (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))))) (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 v v) (fma.f64 e v v)) (*.f64 (fma.f64 e v v) (*.f64 e (*.f64 e (*.f64 v v))))) (*.f64 (fma.f64 e v v) (fma.f64 e v v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))))) (neg.f64 (neg.f64 (fma.f64 e v v))))
(pow.f64 (/.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 e v v) (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v)))) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v)) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e v) (fma.f64 e v v) (*.f64 v v))))
(*.f64 (*.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))
(*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v)
(*.f64 e v)
(*.f64 e (*.f64 v #s(literal 1 binary64)))
(*.f64 v e)
(*.f64 #s(literal 1 binary64) (*.f64 e v))
(*.f64 (*.f64 e v) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v)) #s(literal -1 binary64)))
(neg.f64 (/.f64 v (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v) #s(literal 1 binary64))))
(/.f64 (neg.f64 v) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 v #s(literal 1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 v #s(literal 1 binary64))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) v) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(*.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) v)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 (/.f64 v (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))
(*.f64 (/.f64 v (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 e e))) (neg.f64 (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e)))
(/.f64 (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) e) (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) #s(literal -1 binary64)) e) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e)) (*.f64 (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e) (*.f64 e e))) (*.f64 (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) (*.f64 e (*.f64 e e))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 e (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 e e)))) (neg.f64 (neg.f64 (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e))))
(/.f64 (neg.f64 (-.f64 (*.f64 e e) (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))) (neg.f64 (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 e (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) #s(literal 1 binary64)) e)) (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 1/9 binary64) #s(literal -1 binary64)) e)) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 e (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))) (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) (*.f64 e (*.f64 e e)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e) (-.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 e e))) #s(literal -1 binary64))
(*.f64 e (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) e)
(*.f64 (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 e (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 v (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 v) (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 v #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(/.f64 (neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(/.f64 (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 v #s(literal 1 binary64))) (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 v))) (neg.f64 (neg.f64 (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(*.f64 #s(literal 1 binary64) (/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)))
(*.f64 (neg.f64 v) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) (neg.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) v)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/27 binary64)) (*.f64 e (*.f64 e e)))) (fma.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 e (-.f64 e (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))))))
(*.f64 (/.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 e e) #s(literal 1/9 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (*.f64 e e))) (-.f64 (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) e))

simplify620.0ms (6.3%)

Memory
0.0MiB live, 399.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 516×lower-fma.f64
7 516×lower-fma.f32
6 540×lower-*.f64
6 540×lower-*.f32
3 326×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07146444
123256271
279286269
083025786
Stop Event
1×iter limit
1×node limit
Counts
444 → 436
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* e (* v (+ 1 (* -1 e))))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (* -1 e)))
v
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(+ v (* -1 (* e v)))
(* -1 (* e v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* e (- (/ v e) v))
(* -1 (* e v))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
v
(* v (+ 1 (* 1/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))
(* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))
(/ -3 v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)
(/ -3 v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))
1
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (* -1/3 (pow v 2)))
(+ 1 (* -1/3 (pow v 2)))
(* -1/3 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
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(+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2)))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (* 1/6 (/ (pow v 2) e)))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))
(* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))
(* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* e (+ 1 (* -1/3 (pow v 2))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
e
(+ e (* -1/3 (* e (pow v 2))))
(+ e (* -1/3 (* e (pow v 2))))
(+ e (* -1/3 (* e (pow v 2))))
(* -1/3 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(* -1/3 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(/ v e)
(* v (+ (* 2/3 (/ (pow v 2) e)) (/ 1 e)))
(* v (+ (* (pow v 2) (+ (* 1/3 (/ (pow v 2) e)) (* 2/3 (/ 1 e)))) (/ 1 e)))
(* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/27 (/ (pow v 2) e)) (* 1/3 (/ 1 e)))) (* 2/3 (/ 1 e)))) (/ 1 e)))
(/ 9 (* e (pow v 3)))
(/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))
(/ (+ (* 9 (/ 1 e)) (+ (/ 54 (* e (pow v 2))) (/ 243 (* e (pow v 4))))) (pow v 3))
(/ (+ (* 9 (/ 1 e)) (+ (* 243 (/ 1 (* e (pow v 4)))) (+ (* 972 (/ 1 (* e (pow v 6)))) (/ 54 (* e (pow v 2)))))) (pow v 3))
(/ 9 (* e (pow v 3)))
(/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))
(* -1 (/ (- (* -1 (/ (+ (* 54 (/ 1 e)) (* 243 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 9 (/ 1 e))) (pow v 3)))
(* -1 (/ (- (* -1 (/ (+ (* 243 (/ 1 e)) (* 972 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 9 (/ 1 e)) (/ 54 (* e (pow v 2))))) (pow v 3)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (+.f64 e #s(literal -1 binary64))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v))) (sin.f64 v)))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(-.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e e)))) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (/ (sin v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) e)) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))) #s(literal 1/120 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v (/.f64 v (+.f64 e #s(literal 1 binary64)))) #s(literal -1/5040 binary64)) (*.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (+ v (* -1 (* e v))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (+ v (* -1 (* e v))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* -1 (* (pow e 2) v))
(*.f64 e (*.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* -1 (* (pow e 2) v))
(*.f64 e (*.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(*.f64 e (*.f64 e (-.f64 (/.f64 v e) v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (- 1 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (+ 1 (* -1 e))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (+ 1 (* -1 e))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (+ 1 (* -1 e))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* e (* v (+ 1 (* -1 e))))
(*.f64 e (-.f64 v (*.f64 e v)))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (- 1 e))
(-.f64 v (*.f64 e v))
(* v (+ 1 (* -1 e)))
(-.f64 v (*.f64 e v))
(* v (+ 1 (* -1 e)))
(-.f64 v (*.f64 e v))
(* v (+ 1 (* -1 e)))
(-.f64 v (*.f64 e v))
(* v (+ 1 (* -1 e)))
(-.f64 v (*.f64 e v))
v
(+ v (* -1 (* e v)))
(-.f64 v (*.f64 e v))
(+ v (* -1 (* e v)))
(-.f64 v (*.f64 e v))
(+ v (* -1 (* e v)))
(-.f64 v (*.f64 e v))
(* -1 (* e v))
(*.f64 e (neg.f64 v))
(* e (- (/ v e) v))
(*.f64 e (-.f64 (/.f64 v e) v))
(* e (- (/ v e) v))
(*.f64 e (-.f64 (/.f64 v e) v))
(* e (- (/ v e) v))
(*.f64 e (-.f64 (/.f64 v e) v))
(* -1 (* e v))
(*.f64 e (neg.f64 v))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(neg.f64 (*.f64 e (+.f64 v (/.f64 (neg.f64 v) e))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(neg.f64 (*.f64 e (+.f64 v (/.f64 (neg.f64 v) e))))
(* -1 (* e (- (* -1 (/ v e)) (* -1 v))))
(neg.f64 (*.f64 e (+.f64 v (/.f64 (neg.f64 v) e))))
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
v
(* v (+ 1 (* 1/3 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) v)
(* v (+ 1 (* (pow v 2) (+ 1/3 (* 1/9 (pow v 2))))))
(fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) v) v)
(* v (+ 1 (* (pow v 2) (+ 1/3 (* (pow v 2) (+ 1/9 (* 1/27 (pow v 2))))))))
(fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/27 binary64) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) (*.f64 v (*.f64 v v)) v)
(/ -3 v)
(/.f64 #s(literal -3 binary64) v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 v v))) v))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow v 2)))) (pow v 2))) 3) v)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 27 binary64) (*.f64 v v))) (*.f64 (neg.f64 v) v))) v)
(/ (- (* -1 (/ (+ 27 (* 81 (/ 1 (pow v 2)))) (pow v 4))) (+ 3 (* 9 (/ 1 (pow v 2))))) v)
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 81 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 v v))))) v)
(/ -3 v)
(/.f64 #s(literal -3 binary64) v)
(* -1 (/ (+ 3 (* 9 (/ 1 (pow v 2)))) v))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 v v))) v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (/ 27 (pow v 4)))) v))
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 v v)) (/.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 v))
(* -1 (/ (+ 3 (+ (* 9 (/ 1 (pow v 2))) (+ (* 81 (/ 1 (pow v 6))) (/ 27 (pow v 4))))) v))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 v v)) (/.f64 #s(literal 81 binary64) (pow.f64 v #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 27 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 3 binary64))) (neg.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* -1/3 (pow v 2))
(*.f64 v (*.f64 v #s(literal -1/3 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 1/3))
(fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (* -1/3 e)))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))
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(neg.f64 (*.f64 e (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(* -1 (* e (- (+ (* -1/6 (/ (pow v 2) e)) (* 1/3 (pow v 2))) 1)))
(neg.f64 (*.f64 e (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(neg.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(neg.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(neg.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(neg.f64 (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64))))
e
(+ e (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(+ e (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(+ e (* -1/3 (* e (pow v 2))))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(* (pow v 2) (+ (* -1/3 e) (/ e (pow v 2))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) (/.f64 e (*.f64 v v))))
(/ v e)
(/.f64 v e)
(* v (+ (* 2/3 (/ (pow v 2) e)) (/ 1 e)))
(fma.f64 v (*.f64 (/.f64 (*.f64 v v) e) #s(literal 2/3 binary64)) (/.f64 v e))
(* v (+ (* (pow v 2) (+ (* 1/3 (/ (pow v 2) e)) (* 2/3 (/ 1 e)))) (/ 1 e)))
(fma.f64 (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/3 binary64) e) (/.f64 #s(literal 2/3 binary64) e)) (*.f64 v (*.f64 v v)) (/.f64 v e))
(* v (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 4/27 (/ (pow v 2) e)) (* 1/3 (/ 1 e)))) (* 2/3 (/ 1 e)))) (/ 1 e)))
(fma.f64 (fma.f64 v (*.f64 v (fma.f64 (/.f64 (*.f64 v v) e) #s(literal 4/27 binary64) (/.f64 #s(literal 1/3 binary64) e))) (/.f64 #s(literal 2/3 binary64) e)) (*.f64 v (*.f64 v v)) (/.f64 v e))
(/ 9 (* e (pow v 3)))
(/.f64 #s(literal 9 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) e) (/.f64 #s(literal 54 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 v v)))
(/ (+ (* 9 (/ 1 e)) (+ (/ 54 (* e (pow v 2))) (/ 243 (* e (pow v 4))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) e) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 e (*.f64 v v))) (/.f64 #s(literal 243 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64)))))) (*.f64 v (*.f64 v v)))
(/ (+ (* 9 (/ 1 e)) (+ (* 243 (/ 1 (* e (pow v 4)))) (+ (* 972 (/ 1 (* e (pow v 6)))) (/ 54 (* e (pow v 2)))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) e) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 e (*.f64 v v))) (+.f64 (/.f64 #s(literal 243 binary64) (*.f64 e (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 972 binary64) (*.f64 e (pow.f64 v #s(literal 6 binary64))))))) (*.f64 v (*.f64 v v)))
(/ 9 (* e (pow v 3)))
(/.f64 #s(literal 9 binary64) (*.f64 e (*.f64 v (*.f64 v v))))
(/ (+ (* 9 (/ 1 e)) (* 54 (/ 1 (* e (pow v 2))))) (pow v 3))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) e) (/.f64 #s(literal 54 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 v v)))
(* -1 (/ (- (* -1 (/ (+ (* 54 (/ 1 e)) (* 243 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 9 (/ 1 e))) (pow v 3)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 54 binary64) e) (/.f64 #s(literal 243 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v v))) (/.f64 #s(literal -9 binary64) e)) (*.f64 v (*.f64 v v))))
(* -1 (/ (- (* -1 (/ (+ (* 243 (/ 1 e)) (* 972 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 9 (/ 1 e)) (/ 54 (* e (pow v 2))))) (pow v 3)))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 243 binary64) e) (/.f64 #s(literal 972 binary64) (*.f64 e (*.f64 v v)))) (neg.f64 (pow.f64 v #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 9 binary64) e) (/.f64 #s(literal 54 binary64) (*.f64 e (*.f64 v v))))) (*.f64 v (*.f64 v v))))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(/ v (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))
(/.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/3 binary64))) e)))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(/.f64 (neg.f64 v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(/.f64 (neg.f64 v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(/.f64 (neg.f64 v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))
(* -1 (/ v (* e (* (+ 1 (* -1/3 (pow v 2))) (- (* 1/3 (pow v 2)) 1)))))
(/.f64 (neg.f64 v) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 e (fma.f64 (*.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)))))

eval292.0ms (3%)

Memory
4.7MiB live, 428.3MiB allocated
Compiler

Compiled 70 577 to 4 582 computations (93.5% saved)

prune263.0ms (2.7%)

Memory
-13.6MiB live, 427.4MiB allocated
Pruning

54 alts after pruning (46 fresh and 8 done)

PrunedKeptTotal
New1 600171 617
Fresh102939
Picked235
Done055
Total1 612541 666
Accuracy
100.0%
Counts
1 666 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
2.4%
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
51.0%
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
52.2%
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
27.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
67.0%
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
✓99.7%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
52.6%
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
54.6%
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
97.0%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓6.0%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
3.2%
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
54.7%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
54.5%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
6.0%
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
53.5%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
53.4%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
97.1%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
54.5%
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
5.1%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
53.8%
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
53.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
3.4%
(/.f64 #s(literal -3 binary64) v)
53.5%
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
53.4%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
54.6%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
53.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
52.6%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
53.5%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
53.5%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
54.1%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
52.6%
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
70.5%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓98.5%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.9%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
✓98.5%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
51.0%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
50.9%
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
52.7%
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
52.2%
(*.f64 v (-.f64 e (*.f64 e e)))
28.8%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
51.0%
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
50.9%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓52.2%
(*.f64 e (-.f64 v (*.f64 e v)))
30.4%
(*.f64 e (*.f64 e (neg.f64 v)))
✓97.2%
(*.f64 e (sin.f64 v))
✓51.5%
(*.f64 e v)
6.2%
(sin.f64 v)
2.5%
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
Compiler

Compiled 2 169 to 818 computations (62.3% saved)

regimes72.0ms (0.7%)

Memory
-2.3MiB live, 130.0MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(*.f64 e (*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v)))))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 e (*.f64 e (*.f64 e e))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (*.f64 e e) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

26.0ms
v
22.0ms
e
20.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (0.6%)

Memory
13.4MiB live, 132.1MiB allocated
Counts
68 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

20.0ms
e
19.0ms
v
19.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.7%1e
99.7%1v
99.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes59.0ms (0.6%)

Memory
8.5MiB live, 125.5MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

19.0ms
v
19.0ms
e
18.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.1%1e
99.1%1v
99.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes54.0ms (0.5%)

Memory
-6.2MiB live, 113.5MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

17.0ms
v
17.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
17.0ms
e
Results
AccuracySegmentsBranch
97.9%1e
97.9%1v
97.9%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes53.0ms (0.5%)

Memory
-7.7MiB live, 113.1MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
(*.f64 e (sin.f64 v))
Outputs
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(*.f64 e (sin.f64 v))
Calls

3 calls:

17.0ms
v
17.0ms
e
16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.8%2e
97.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.1%2v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (0.6%)

Memory
-26.1MiB live, 114.2MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 e v) (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) e)))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/3 binary64))) e))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/3 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 v v) v))
(/.f64 e (*.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 v (*.f64 v #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 (*.f64 v v) (/.f64 #s(literal 1/6 binary64) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 e (*.f64 v v)) (*.f64 e (*.f64 v v))) (neg.f64 (*.f64 e e))) v) (fma.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)) (neg.f64 e)))
(*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
(fma.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))) (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))) (/.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)) (/.f64 v (fma.f64 v (*.f64 v #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e)) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e) #s(literal 1 binary64))) v))
(sin.f64 v)
Outputs
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
Calls

3 calls:

25.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
16.0ms
e
16.0ms
v
Results
AccuracySegmentsBranch
54.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.6%1e
54.6%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.3%)

Memory
18.3MiB live, 57.7MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 (fma.f64 (*.f64 e #s(literal -1/6 binary64)) (*.f64 v v) e) v)
(/.f64 v (*.f64 v (*.f64 v #s(literal -1/3 binary64))))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(neg.f64 (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(fma.f64 v e (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3/2 binary64) e)) v))
(*.f64 v (/.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 v e) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal 1/6 binary64))))))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
Calls

3 calls:

9.0ms
v
8.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
53.4%1e
53.4%1v
53.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory
-23.0MiB live, 15.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
Outputs
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
52.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.2%1e
52.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
Outputs
(*.f64 v (-.f64 e (*.f64 e e)))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
52.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.2%1e
52.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

2.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
52.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
52.2%1e
52.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory
-26.8MiB live, 12.7MiB allocated
Accuracy

Total -31.5b remaining (-101.4%)

Threshold costs -31.5b (-101.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(/.f64 #s(literal -3 binary64) v)
(*.f64 e (*.f64 e (neg.f64 v)))
Outputs
(*.f64 e v)
Calls

3 calls:

2.0ms
e
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
Results
AccuracySegmentsBranch
51.5%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.5%1e
51.5%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch9.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
8.0ms
7.003865059539006e-34
9.615314005917962e-30
Samples
5.0ms80×0valid
Compiler

Compiled 251 to 114 computations (54.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (35.4% of total)
ival-sin: 1.0ms (35.4% of total)
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)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
26×+-commutative_binary64
22×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045129
181129
2104129
3121129
4128129
5129129
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(if (<=.f64 v #s(literal 8563486156235759/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(if (<=.f64 v #s(literal 8563486156235759/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (/.f64 (*.f64 e v) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))) v)
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(fma.f64 v e (*.f64 (*.f64 e (neg.f64 v)) e))
(fma.f64 v e (neg.f64 (*.f64 e (*.f64 e v))))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)

soundness1.3s (13.2%)

Memory
5.8MiB live, 997.0MiB allocated
Rules
14 180×lower-fma.f64
14 180×lower-fma.f32
14 120×lower-fma.f64
14 120×lower-fma.f32
8 532×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
060192
1256192
22095192
08865190
01951209
15841194
216521162
349071089
080391013
01880
03680
114280
276480
3735480
0806180
0929
01529
14229
224129
3209729
0837027
03533251
111083128
232883060
082722863
026141
052140
1214132
21691130
08435126
05374537
117524323
259994308
082203983
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 413 to 213 computations (48.4% saved)

preprocess70.0ms (0.7%)

Memory
4.5MiB live, 120.7MiB allocated
Remove

(negabs v)

Compiler

Compiled 432 to 200 computations (53.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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