Trigonometry A

Time bar (total: 9.1s)

analyze7.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.1s (12.4%)

Memory
50.5MiB live, 1 802.8MiB allocated
Samples
850.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-sin: 216.0ms (33.7% of total)
ival-cos: 168.0ms (26.2% of total)
ival-mult: 106.0ms (16.5% of total)
ival-div: 48.0ms (7.5% of total)
ival-<=: 43.0ms (6.7% of total)
ival-add: 38.0ms (5.9% of total)
ival-and: 11.0ms (1.7% of total)
exact: 10.0ms (1.6% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess77.0ms (0.8%)

Memory
-7.9MiB live, 51.7MiB 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)

explain139.0ms (1.5%)

Memory
-0.8MiB live, 236.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
75.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 29.0ms (49% of total)
ival-sin: 12.0ms (20.3% of total)
ival-cos: 11.0ms (18.6% of total)
ival-div: 3.0ms (5.1% of total)
ival-add: 3.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB 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)

localize60.0ms (0.7%)

Memory
8.0MiB live, 46.9MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 6.0ms (34.4% of total)
ival-cos: 5.0ms (28.6% of total)
ival-mult: 3.0ms (17.2% of total)
ival-div: 1.0ms (5.7% of total)
ival-true: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-25.9MiB live, 13.9MiB allocated
Counts
5 → 108
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))>
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))>
Calls

27 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)))

rewrite328.0ms (3.6%)

Memory
43.8MiB live, 631.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01527
14227
224127
3209727
0837025
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 344
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
Outputs
(+.f64 #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))))))
(-.f64 (/.f64 (/.f64 #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) (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)))) (*.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)))))
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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))))

simplify425.0ms (4.7%)

Memory
-2.6MiB live, 751.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
6 122×lower-*.f64
6 122×lower-*.f32
3 736×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821153
15541138
215821106
352551024
08371956
Stop Event
1×iter limit
1×node limit
Counts
108 → 106
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))
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)))))))
(+.f64 e (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 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 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v 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 (sin.f64 v) (fma.f64 (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e e) e))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e (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 (/.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 v (/.f64 e (+.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/720 binary64) (/.f64 e (+.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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #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 (*.f64 v 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 e (*.f64 v v)) (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)) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (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 (*.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)
(* 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 e (*.f64 v v)) (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 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v 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))

eval56.0ms (0.6%)

Memory
-2.1MiB live, 152.8MiB allocated
Compiler

Compiled 13 313 to 1 234 computations (90.7% saved)

prune68.0ms (0.7%)

Memory
-12.0MiB live, 167.2MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43812450
Fresh000
Picked101
Done000
Total43912451
Accuracy
99.9%
Counts
451 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
99.4%
(/.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))))
99.4%
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
▶99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
46.9%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶47.2%
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
▶98.2%
(*.f64 e (sin.f64 v))
Compiler

Compiled 346 to 218 computations (37% saved)

simplify156.0ms (1.7%)

Memory
-25.9MiB live, 172.2MiB 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 (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Rules
1 544×lower-fma.f32
1 540×lower-fma.f64
1 112×lower-*.f32
1 102×lower-*.f64
756×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018117
035117
164117
2100117
3219117
4436117
5507117
6692117
71026117
81368117
91808117
102499117
113035117
123098117
133110117
143114117
153114117
163206117
173224117
183224117
03224117
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.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 (sin.f64 v) (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 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
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)))
(/.f64 (*.f64 (sin.f64 v) e) (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)

localize82.0ms (0.9%)

Memory
17.1MiB live, 214.4MiB allocated
Localize:

Found 17 expressions of interest:

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

Compiled 127 to 22 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 10.0ms (29.1% of total)
ival-sin: 7.0ms (20.4% of total)
ival-div: 6.0ms (17.5% of total)
ival-cos: 6.0ms (17.5% of total)
ival-add: 5.0ms (14.6% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-9.0MiB live, 67.7MiB allocated
Counts
14 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)>
#<alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))>
#<alt (/.f64 e (+.f64 #s(literal 1 binary64) e))>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt (*.f64 e (sin.f64 v))>
#<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 (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 (+ 1 e))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (/ (sin v) (+ 1 (* e (cos v))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))>
#<alt (+ (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) (* e (cos v)))>
#<alt (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)>
#<alt (/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<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))))) e)>
#<alt (/ (sin v) (* e (cos v)))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))>
#<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 (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) (+ 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 (* -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>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<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 (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 (+ 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 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

69 calls:

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

rewrite382.0ms (4.2%)

Memory
31.6MiB live, 828.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 430×lower-fma.f32
6 426×lower-fma.f64
4 896×lower-*.f32
4 886×lower-*.f64
3 530×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01885
03585
111685
272685
3724385
0858085
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 981
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
(*.f64 e (sin.f64 v))
(*.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))
(neg.f64 e)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (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 (sin.f64 v) e) (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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (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 (sin.f64 v) e) (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 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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 (sin.f64 v) e) (+.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 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
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(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (fma.f64 (*.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))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)))
(*.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))) (sin.f64 v)))
(*.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) (*.f64 (sin.f64 v) (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) (sin.f64 v)) (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))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (pow.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) (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (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)) (sin.f64 v)) (/.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) (sin.f64 v)))
(*.f64 (pow.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 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (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 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #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) (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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 v v)))) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.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 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (-.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 (/.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)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.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)) (sin.f64 v)) (+.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 (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)))

simplify681.0ms (7.5%)

Memory
-233.4MiB live, 804.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 946×lower-fma.f64
12 946×lower-fma.f32
6 452×lower-*.f64
6 452×lower-*.f32
4 458×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04413701
113993550
242153436
086943233
Stop Event
1×iter limit
1×node limit
Counts
276 → 269
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 (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
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 (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 v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (sin v))
(* 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 (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ e (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(* -1 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 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) (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.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 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64) (*.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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) (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 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (fma.f64 e (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
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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 (/.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 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))
(/ (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 (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 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 v (*.f64 (*.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
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(/.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)
(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)

eval189.0ms (2.1%)

Memory
-18.9MiB live, 388.9MiB allocated
Compiler

Compiled 31 469 to 2 992 computations (90.5% saved)

prune208.0ms (2.3%)

Memory
-8.5MiB live, 428.2MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 422301 452
Fresh527
Picked145
Done000
Total1 428361 464
Accuracy
100.0%
Counts
1 464 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(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))
31.3%
(/.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) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
▶33.9%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
▶99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
70.6%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) e))
99.5%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
47.1%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
70.3%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
▶48.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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))
48.4%
(/.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))
47.2%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
37.4%
(*.f64 (fma.f64 e (*.f64 e e) (pow.f64 (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e))) (sin.f64 v)))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.3%
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
63.3%
(*.f64 (*.f64 (sin.f64 v) (*.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 e (neg.f64 e)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
38.2%
(*.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
98.4%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
46.6%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
46.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
19.2%
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
43.5%
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
✓47.2%
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
▶47.1%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
46.9%
(*.f64 v (-.f64 e (*.f64 e e)))
2.5%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
46.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
46.2%
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) v) v))
46.3%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓98.2%
(*.f64 e (sin.f64 v))
▶46.6%
(*.f64 e v)
Compiler

Compiled 1 426 to 698 computations (51.1% saved)

simplify251.0ms (2.8%)

Memory
27.7MiB live, 386.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 e (neg.f64 e))
✓cost-diff0
(*.f64 e (*.f64 e (neg.f64 e)))
✓cost-diff0
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
✓cost-diff1664
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
✓cost-diff128
(-.f64 (*.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))))
✓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 v (*.f64 v (-.f64 (*.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))
✓cost-diff768
(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)))
✓cost-diff0
(+.f64 e #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓cost-diff0
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Rules
10 584×lower-fma.f32
10 568×lower-fma.f64
4 082×lower-+.f32
4 080×lower-+.f64
3 208×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039351
077351
1158325
2451273
31812269
08257251
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
e
v
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
v
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
#s(literal 1 binary64)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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)
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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)))
(*.f64 v v)
v
(fma.f64 v (*.f64 v (-.f64 (*.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 v (-.f64 (*.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)))))
(-.f64 (*.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))))
(*.f64 e #s(literal 1/24 binary64))
#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)))
#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)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 e (*.f64 e (neg.f64 e)))
e
(*.f64 e (neg.f64 e))
(neg.f64 e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(cos.f64 v)
#s(literal -1 binary64)
(*.f64 e e)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
(*.f64 v e)
e
v
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
v
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (*.f64 v e) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 v (*.f64 v (-.f64 (*.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))))
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64))) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 v (-.f64 (*.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)))))
(*.f64 v (fma.f64 e #s(literal 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64))))
(-.f64 (*.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 1/30 binary64) (fma.f64 e #s(literal -1/18 binary64) #s(literal 7/360 binary64)))
(*.f64 e #s(literal 1/24 binary64))
#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 23/360 binary64) #s(literal -7/360 binary64))
#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 -1/3 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)
(fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (*.f64 e e) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(*.f64 e (*.f64 e (neg.f64 e)))
(neg.f64 (*.f64 e (*.f64 e e)))
e
(*.f64 e (neg.f64 e))
(neg.f64 (*.f64 e e))
(neg.f64 e)
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(cos.f64 v)
#s(literal -1 binary64)
(*.f64 e e)

localize156.0ms (1.7%)

Memory
-10.4MiB live, 222.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
✓accuracy99.8%
(*.f64 e (*.f64 e (neg.f64 e)))
✓accuracy34.7%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
✓accuracy99.8%
(*.f64 v (-.f64 (*.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)))))
✓accuracy99.5%
(*.f64 e #s(literal 1/24 binary64))
✓accuracy98.5%
(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)))
✓accuracy96.7%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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)
✓accuracy100.0%
(+.f64 e #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
Samples
95.0ms256×0valid
Compiler

Compiled 406 to 49 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 28.0ms (37.9% of total)
const: 11.0ms (14.9% of total)
ival-div: 10.0ms (13.5% of total)
ival-add: 10.0ms (13.5% of total)
ival-sin: 7.0ms (9.5% of total)
ival-cos: 5.0ms (6.8% of total)
ival-sub: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series68.0ms (0.7%)

Memory
-16.3MiB live, 63.0MiB allocated
Counts
22 → 396
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 v) e)>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 e v)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))>
#<alt (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))>
#<alt (/.f64 (+.f64 e #s(literal 1 binary64)) e)>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (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)))>
#<alt (/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))>
#<alt (-.f64 (*.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))))>
#<alt (/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))>
#<alt (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))>
#<alt (*.f64 e (*.f64 e (neg.f64 e)))>
#<alt (*.f64 e (neg.f64 e))>
#<alt (cos.f64 v)>
#<alt (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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)>
#<alt (*.f64 e #s(literal 1/24 binary64))>
#<alt (*.f64 v (-.f64 (*.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)))))>
#<alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (* 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 (* 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 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 (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>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 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 (* -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 (/ 1 e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt (/ (+ 1 e) e)>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt 1>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<alt (+ 1 (/ 1 e))>
#<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 -7/360>
#<alt (- (* 23/360 e) 7/360)>
#<alt (- (* 23/360 e) 7/360)>
#<alt (- (* 23/360 e) 7/360)>
#<alt (* 23/360 e)>
#<alt (* e (- 23/360 (* 7/360 (/ 1 e))))>
#<alt (* e (- 23/360 (* 7/360 (/ 1 e))))>
#<alt (* e (- 23/360 (* 7/360 (/ 1 e))))>
#<alt (* 23/360 e)>
#<alt (* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))>
#<alt (* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))>
#<alt (* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))>
#<alt (/ (* e v) (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3)) (/ (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 4))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2)) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3))))) (/ (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))>
#<alt (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2)))) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))>
#<alt (- (+ (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))))>
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#<alt (* (pow v 3) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (pow v 2))) (* -1 (/ (+ 1 e) (pow v 4)))))))>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) v)>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e)))))>
#<alt (* -1 (/ (* e (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v)) e)) (* v (+ 1/3 (* 1/45 (pow v 2))))) (/ 1 v))))>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* 1/24 e)>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* v (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))>
#<alt (* 7/360 v)>
#<alt (+ (* -1/45 (* e v)) (* 7/360 v))>
#<alt (+ (* -1/45 (* e v)) (* 7/360 v))>
#<alt (+ (* -1/45 (* e v)) (* 7/360 v))>
#<alt (* -1/45 (* e v))>
#<alt (* e (+ (* -1/45 v) (* 7/360 (/ v e))))>
#<alt (* e (+ (* -1/45 v) (* 7/360 (/ v e))))>
#<alt (* e (+ (* -1/45 v) (* 7/360 (/ v e))))>
#<alt (* -1/45 (* e v))>
#<alt (* -1 (* e (+ (* -7/360 (/ v e)) (* 1/45 v))))>
#<alt (* -1 (* e (+ (* -7/360 (/ v e)) (* 1/45 v))))>
#<alt (* -1 (* e (+ (* -7/360 (/ v e)) (* 1/45 v))))>
#<alt (/ v (- (* -1 e) 1))>
#<alt (* v (+ (* -1 (* (pow v 2) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (- (* -1 e) 1))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/5040 (/ 1 (- (* -1 e) 1))) (+ (* 1/720 (/ e (pow (- (* -1 e) 1) 2))) (+ (* 1/24 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* 1/2 (/ (* e (- (* 1/120 (/ 1 (- (* -1 e) 1))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (- (* -1 e) 1)))))))) (* 1/120 (/ 1 (- (* -1 e) 1)))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (/ (sin v) (- (* -1 (* e (cos v))) 1))>
#<alt (* -1 (sin v))>
#<alt (+ (* -1 (sin v)) (* e (* (cos v) (sin v))))>
#<alt (+ (* -1 (sin v)) (* e (- (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))>
#<alt (+ (* -1 (sin v)) (* e (- (* e (- (* e (* (pow (cos v) 3) (sin v))) (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))>
#<alt (* -1 (/ (sin v) (* e (cos v))))>
#<alt (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) (* -1 (/ (sin v) (* e (pow (cos v) 2))))) e)>
#<alt (/ (- (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) e)>
#<alt (* -1 (/ (sin v) (* e (cos v))))>
#<alt (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
v
@inf
(/ e (/ (+ (* (* v v) (+ (* v (* v (- (* e 1/24) (+ (* -1/6 (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ (* e 1/120) 1/120))))) (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v))
7.0ms
v
@0
(* (* e (* e (neg e))) (/ (sin v) (+ (* (cos v) (neg e)) -1)))
2.0ms
e
@-inf
(/ e (/ (+ (* (* v v) (+ (* v (* v (- (* e 1/24) (+ (* -1/6 (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ (* e 1/120) 1/120))))) (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v))
1.0ms
v
@0
(/ (* (* e (* e (neg e))) (/ (sin v) (+ (* (cos v) (neg e)) -1))) (* e e))
1.0ms
v
@0
(/ e (/ (+ (* (* v v) (+ (* v (* v (- (* e 1/24) (+ (* -1/6 (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ (* e 1/120) 1/120))))) (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v))

rewrite346.0ms (3.8%)

Memory
27.2MiB live, 538.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 562×lower-*.f32
5 542×lower-*.f64
3 870×lower-fma.f32
3 854×lower-fma.f64
3 826×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039240
077238
1331214
22828214
08580206
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 545
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e v)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 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)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(-.f64 (*.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))))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 e (*.f64 e (neg.f64 e)))
(*.f64 e (neg.f64 e))
(cos.f64 v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 #s(literal 1/24 binary64))
(*.f64 v (-.f64 (*.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)))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64)) (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))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)) #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) (/.f64 #s(literal 1 binary64) (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 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.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))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 (*.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 #s(literal 2 binary64) 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))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(fma.f64 e (*.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(fma.f64 (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (cos.f64 v)))))
(/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 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 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
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(/.f64 (*.f64 v (-.f64 (*.f64 (*.f64 e e) #s(literal 1/576 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal 1/13824 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))))) v) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 e e) #s(literal 1/576 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 e e) #s(literal 1/576 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64))))) v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))))
(*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))))
(*.f64 (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.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)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.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))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))

simplify383.0ms (4.2%)

Memory
11.6MiB live, 482.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 012×lower-fma.f64
9 012×lower-fma.f32
7 652×lower-*.f64
7 652×lower-*.f32
4 124×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07797085
125926670
081766256
Stop Event
1×iter limit
1×node limit
Counts
396 → 390
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)))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (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))
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 (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 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
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ 1 e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
(/ (+ 1 e) e)
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
1
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
(+ 1 (/ 1 e))
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)))
-7/360
(- (* 23/360 e) 7/360)
(- (* 23/360 e) 7/360)
(- (* 23/360 e) 7/360)
(* 23/360 e)
(* e (- 23/360 (* 7/360 (/ 1 e))))
(* e (- 23/360 (* 7/360 (/ 1 e))))
(* e (- 23/360 (* 7/360 (/ 1 e))))
(* 23/360 e)
(* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))
(* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))
(* -1 (* e (- (* 7/360 (/ 1 e)) 23/360)))
(/ (* e v) (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))
(* e (+ (* -1 (/ (* e (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))
(* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3)) (/ (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))
(* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 4))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2)) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3))))) (/ (* v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)))) (/ v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))))))
(/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))
(+ (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2)))) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))
(- (+ (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))))
(- (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3)) (* (pow e 3) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 4)))) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))))) (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)) (* (pow e 2) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2)))))
(* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1)))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)))))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2)) (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 3)))) e)))
(+ (* -1 (/ v (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 2)) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) 3)) (* e (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 4))))) e)) (/ (* v (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2)))))) (pow (- (* (pow v 2) (+ 1/3 (* 1/45 (pow v 2)))) 1) 2))) e)))
(/ (* 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) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* e (* (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e)))))) (pow (+ 1 e) 3))) (* -1 (/ (* (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) (+ (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (pow (+ 1 e) 2)))) (+ 1 e)))))) (+ (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))) (/ (* e (- (* 1/24 e) (+ 1/120 (+ (* -1/6 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* 1/120 e))))) (pow (+ 1 e) 2))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))
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(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/5040 (/ 1 (- (* -1 e) 1))) (+ (* 1/720 (/ e (pow (- (* -1 e) 1) 2))) (+ (* 1/24 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* 1/2 (/ (* e (- (* 1/120 (/ 1 (- (* -1 e) 1))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (- (* -1 e) 1)))))))) (* 1/120 (/ 1 (- (* -1 e) 1)))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(* -1 (sin v))
(+ (* -1 (sin v)) (* e (* (cos v) (sin v))))
(+ (* -1 (sin v)) (* e (- (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))
(+ (* -1 (sin v)) (* e (- (* e (- (* e (* (pow (cos v) 3) (sin v))) (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))
(* -1 (/ (sin v) (* e (cos v))))
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) (* -1 (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (- (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) e)
(* -1 (/ (sin v) (* e (cos v))))
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))
Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (fma.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 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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) (+.f64 (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 e #s(literal -1/2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/120 binary64)) (fma.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 #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 e #s(literal 1/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 e e)) (*.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) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 e (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 e e)) (*.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 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.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) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (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 (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (neg.f64 (*.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 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(/ (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)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 e (*.f64 v v)))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (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))
(* 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))
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 (*.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 (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))))
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+.f64 e (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/720 binary64)) (*.f64 e #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)))
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(+ 1 (* e (cos v)))
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(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 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)
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(*.f64 e v)
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(*.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
(* e (+ 1 (* -1 e)))
(fma.f64 e (neg.f64 e) e)
(* e (+ 1 (* e (- e 1))))
(fma.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(fma.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))
1
#s(literal 1 binary64)
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(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e))
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(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(/ (* e v) (+ 1 e))
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(/ (* e v) (+ 1 e))
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(fma.f64 v (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 (neg.f64 v) v)) (/.f64 v (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (- (* -1 e) 1))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))
(fma.f64 (*.f64 v (*.f64 v v)) (fma.f64 (*.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (fma.f64 (*.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (/.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 1/5040 (/ 1 (- (* -1 e) 1))) (+ (* 1/720 (/ e (pow (- (* -1 e) 1) 2))) (+ (* 1/24 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* 1/2 (/ (* e (- (* 1/120 (/ 1 (- (* -1 e) 1))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (- (* -1 e) 1)))))))) (* 1/120 (/ 1 (- (* -1 e) 1)))) (+ (* -1/2 (/ (* e (+ (* 1/2 (/ e (pow (- (* -1 e) 1) 2))) (* 1/6 (/ 1 (- (* -1 e) 1))))) (- (* -1 e) 1))) (* -1/24 (/ e (pow (- (* -1 e) 1) 2)))))) (+ (* 1/6 (/ 1 (- (* -1 e) 1))) (* 1/2 (/ e (pow (- (* -1 e) 1) 2)))))) (/ 1 (- (* -1 e) 1))))
(fma.f64 (*.f64 v (*.f64 v v)) (fma.f64 (*.f64 v v) (fma.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (fma.f64 (*.f64 #s(literal 1/2 binary64) e) (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (fma.f64 (*.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (/.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (fma.f64 (*.f64 e #s(literal 1/24 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (/.f64 (*.f64 #s(literal 1/720 binary64) e) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e))))))) (*.f64 (neg.f64 v) v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (fma.f64 (*.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (+.f64 #s(literal -1 binary64) (neg.f64 e))) (/.f64 (*.f64 #s(literal -1/24 binary64) e) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 e)))))) (/.f64 v (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/ (sin v) (- (* -1 (* e (cos v))) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(* -1 (sin v))
(neg.f64 (sin.f64 v))
(+ (* -1 (sin v)) (* e (* (cos v) (sin v))))
(*.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(+ (* -1 (sin v)) (* e (- (* -1 (* e (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))
(-.f64 (*.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (neg.f64 (cos.f64 v))))) (sin.f64 v))
(+ (* -1 (sin v)) (* e (- (* e (- (* e (* (pow (cos v) 3) (sin v))) (* (pow (cos v) 2) (sin v)))) (* -1 (* (cos v) (sin v))))))
(fma.f64 e (fma.f64 e (*.f64 (sin.f64 v) (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 (sin.f64 v) (cos.f64 v))) (neg.f64 (sin.f64 v)))
(* -1 (/ (sin v) (* e (cos v))))
(/.f64 (sin.f64 v) (neg.f64 (*.f64 e (cos.f64 v))))
(/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(/ (- (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) (* -1 (/ (sin v) (* e (pow (cos v) 2))))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (neg.f64 (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) e)
(/ (- (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))) e)
(/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (sin.f64 v) (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) e)
(* -1 (/ (sin v) (* e (cos v))))
(/.f64 (sin.f64 v) (neg.f64 (*.f64 e (cos.f64 v))))
(* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (cos.f64 v))) e)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e)) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.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)) (neg.f64 e))

eval160.0ms (1.7%)

Memory
20.7MiB live, 288.5MiB allocated
Compiler

Compiled 41 942 to 4 112 computations (90.2% saved)

prune158.0ms (1.7%)

Memory
-37.3MiB live, 292.4MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1 012191 031
Fresh42327
Picked325
Done044
Total1 019481 067
Accuracy
100.0%
Counts
1 067 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(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))
▶13.8%
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
33.9%
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e)) (neg.f64 e)) (*.f64 e e))
32.8%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
32.3%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (neg.f64 (sin.f64 v))) (*.f64 e e))
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.8%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
▶99.6%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
32.3%
(/.f64 (*.f64 e (*.f64 e (*.f64 e (sin.f64 v)))) (*.f64 e e))
70.6%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) e))
99.5%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
5.8%
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
5.8%
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
47.1%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
70.3%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
48.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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))
48.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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))
48.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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))
48.4%
(/.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))
5.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
48.4%
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
47.2%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
2.5%
(-.f64 v (/.f64 v e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶99.3%
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
63.3%
(*.f64 (*.f64 (sin.f64 v) (*.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 e (neg.f64 e)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))
32.7%
(*.f64 (*.f64 (neg.f64 e) (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 e (neg.f64 e))))
51.3%
(*.f64 (*.f64 e (neg.f64 e)) (*.f64 e (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
38.2%
(*.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
98.4%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
46.6%
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
46.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
19.2%
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
43.5%
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
✓47.2%
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
46.5%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
2.5%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
▶46.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
46.2%
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) v) v))
46.3%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
▶46.9%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.2%
(*.f64 e (sin.f64 v))
✓46.6%
(*.f64 e v)
Compiler

Compiled 1 753 to 933 computations (46.8% saved)

simplify156.0ms (1.7%)

Memory
47.8MiB live, 275.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 v)
✓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)) (sin.f64 v))
✓cost-diff0
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
✓cost-diff0
(/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
✓cost-diff128
(+.f64 #s(literal -1 binary64) (neg.f64 e))
✓cost-diff128
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))
✓cost-diff1664
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
✓cost-diff0
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(-.f64 v (*.f64 e v))
✓cost-diff0
(*.f64 e (-.f64 v (*.f64 e v)))
✓cost-diff0
(*.f64 (sin.f64 v) e)
✓cost-diff0
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
✓cost-diff128
(+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
✓cost-diff960
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
Rules
3 824×lower-fma.f32
3 818×lower-fma.f64
3 244×lower-*.f32
3 220×lower-*.f64
1 512×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033208
063198
1131186
2352175
31707172
46190172
08159171
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(neg.f64 e)
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
e
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 v v)
v
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(*.f64 e (*.f64 (*.f64 e e) v))
e
(*.f64 (*.f64 e e) v)
(*.f64 e e)
v
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(+.f64 #s(literal -1 binary64) (neg.f64 e))
#s(literal -1 binary64)
(neg.f64 e)
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
e
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
e
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(neg.f64 (cos.f64 v))
(cos.f64 v)
(/.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(neg.f64 e)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
e
(-.f64 v (*.f64 e v))
(-.f64 v (*.f64 v e))
v
(*.f64 e v)
(*.f64 v e)
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))
e
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 v (*.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) v)
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 v v)
v
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(*.f64 v (*.f64 e (*.f64 e (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 e (*.f64 (*.f64 e e) v))
(*.f64 v (*.f64 e (*.f64 e e)))
e
(*.f64 (*.f64 e e) v)
(*.f64 v (*.f64 e e))
(*.f64 e e)
v
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 e))
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
(neg.f64 e)
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(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)
v
(neg.f64 e)
e
#s(literal 1 binary64)
(sin.f64 v)

localize122.0ms (1.3%)

Memory
-16.1MiB live, 236.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.8%
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
✓accuracy100.0%
(/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
✓accuracy99.8%
(*.f64 e (*.f64 (*.f64 e e) v))
✓accuracy86.8%
(*.f64 (*.f64 e e) v)
✓accuracy41.1%
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
✓accuracy99.9%
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy99.2%
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓accuracy95.7%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓accuracy100.0%
(-.f64 v (*.f64 e v))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(*.f64 e (-.f64 v (*.f64 e v)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
✓accuracy99.8%
(*.f64 (sin.f64 v) e)
✓accuracy99.7%
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
Samples
74.0ms256×0valid
Compiler

Compiled 218 to 38 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 20.0ms (36.4% of total)
ival-div: 6.0ms (10.9% of total)
ival-add: 6.0ms (10.9% of total)
ival-sin: 6.0ms (10.9% of total)
const: 6.0ms (10.9% of total)
ival-cos: 5.0ms (9.1% of total)
ival-neg: 3.0ms (5.5% of total)
ival-sub: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory
-22.8MiB live, 54.4MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))>
#<alt (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))>
#<alt (/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))>
#<alt (*.f64 (sin.f64 v) e)>
#<alt (*.f64 e (-.f64 v (*.f64 e v)))>
#<alt (-.f64 v (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt (*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))>
#<alt (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)>
#<alt (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
#<alt (*.f64 v v)>
#<alt (/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))>
#<alt (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))>
#<alt (+.f64 #s(literal -1 binary64) (neg.f64 e))>
#<alt (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))>
#<alt (*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)>
#<alt (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt (sin.f64 v)>
#<alt (*.f64 v (*.f64 v v))>
#<alt (*.f64 (*.f64 e e) v)>
#<alt (*.f64 e (*.f64 (*.f64 e e) v))>
Outputs
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))>
#<alt (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 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 (+ 1 (/ 1 e)))>
#<alt (- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))>
#<alt (- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))>
#<alt (- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (/ -1 e)>
#<alt (/ (- (* -1 (* e (cos v))) 1) e)>
#<alt (/ (- (* -1 (* e (cos v))) 1) e)>
#<alt (/ (- (* -1 (* e (cos v))) 1) e)>
#<alt (* -1 (cos v))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (cos v))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (* -1 (+ (cos v) (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<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 (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))>
#<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)>
#<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 (* 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 (* 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 (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<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) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<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) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (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)>
#<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 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 -1>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (- (* -1 e) 1)>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 e)>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* -1 (* e (+ 1 (/ 1 e))))>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) (+ v (* -1 (* e v))))>
#<alt (* (pow e 3) (+ v (* e (- (* e v) v))))>
#<alt (* (pow e 3) (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) (+ v (* -1 (/ v e))))>
#<alt (* (pow e 2) (- (+ v (/ v (pow e 2))) (/ v e)))>
#<alt (* (pow e 2) (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) (+ v (* -1 (/ v e))))>
#<alt (* (pow e 2) (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))>
#<alt (* (pow e 2) (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<alt (/ (* (pow e 3) v) (+ 1 e))>
#<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 (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))>
#<alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (* (sin v) (+ 1 (* -1 (* e (cos v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* e (* (cos v) (sin v))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))>
#<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 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 (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 2) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
#<alt (* (pow e 3) v)>
Calls

114 calls:

TimeVariablePointExpression
2.0ms
v
@-inf
(* e (+ (* (+ (* (* v v) 1/120) -1/6) (* v (* v v))) v))
2.0ms
e
@-inf
(* (+ (neg (cos v)) (/ -1 e)) (neg e))
2.0ms
e
@inf
(* e (* (* e e) v))
1.0ms
e
@0
(* e (+ (* (+ (* (* v v) 1/120) -1/6) (* v (* v v))) v))
1.0ms
v
@0
(/ (* (sin v) e) (* (+ (neg (cos v)) (/ -1 e)) (neg e)))

rewrite338.0ms (3.7%)

Memory
16.6MiB live, 492.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 848×lower-fma.f32
6 842×lower-fma.f64
4 014×lower-/.f32
4 006×lower-/.f64
3 840×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033174
063164
1230152
21668140
08372140
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 719
Calls
Call 1
Inputs
(*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e))
(+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (*.f64 e v))
(*.f64 e v)
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 v v)
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))
(+.f64 #s(literal -1 binary64) (neg.f64 e))
(/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
(sin.f64 v)
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 e e) v)
(*.f64 e (*.f64 (*.f64 e e) v))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(+.f64 #s(literal 0 binary64) (*.f64 e (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))) (neg.f64 e)))
(+.f64 (*.f64 (neg.f64 e) (neg.f64 (cos.f64 v))) #s(literal 1 binary64))
(+.f64 (*.f64 (neg.f64 (cos.f64 v)) (neg.f64 e)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) (neg.f64 e)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) (neg.f64 e))))) (/.f64 (pow.f64 (*.f64 (cos.f64 v) (neg.f64 e)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) (neg.f64 e))))))
(fma.f64 (neg.f64 (cos.f64 v)) (neg.f64 e) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (neg.f64 (cos.f64 v)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) e))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) 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)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) e)))))
(/.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 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) 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 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))))) (neg.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)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.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 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.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 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #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 #s(literal 2 binary64) v))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))))
(/.f64 (-.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 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #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 #s(literal 2 binary64) v))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (*.f64 (cos.f64 v) 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) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(*.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))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(+.f64 #s(literal 0 binary64) (cos.f64 v))
(cos.f64 v)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 v)))
(neg.f64 (neg.f64 (cos.f64 v)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (neg.f64 (cos.f64 v)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 0 binary64))))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 v)))
(sin.f64 v)
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 v v) v)
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))
(*.f64 v (*.f64 e e))
(*.f64 e (*.f64 v e))
(*.f64 (*.f64 v e) e)
(*.f64 (*.f64 e e) v)
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (*.f64 v (*.f64 e e)))))
(neg.f64 (neg.f64 (*.f64 e (*.f64 v (*.f64 e e)))))
(*.f64 v (*.f64 e (*.f64 e e)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (*.f64 v (*.f64 e e)))))
(*.f64 e (*.f64 v (*.f64 e e)))
(*.f64 (*.f64 v e) (*.f64 e e))
(*.f64 (*.f64 e e) (*.f64 v e))
(*.f64 (*.f64 v (*.f64 e e)) e)
(*.f64 (*.f64 e (*.f64 v (*.f64 e e))) #s(literal 1 binary64))
(*.f64 (*.f64 e (*.f64 e e)) v)

simplify836.0ms (9.2%)

Memory
12.2MiB live, 529.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 400×lower-fma.f64
16 400×lower-fma.f32
6 172×lower-+.f64
6 172×lower-+.f32
5 948×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04074093
113563847
242083675
088033536
Stop Event
1×iter limit
1×node limit
Counts
456 → 449
Calls
Call 1
Inputs
(* e (+ 1 (/ 1 e)))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(* -1 (+ (cos v) (/ 1 e)))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(/ (sin v) (+ (cos v) (/ 1 e)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(/ (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)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (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)
(* 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)
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* 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) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 5))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
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)))
-1
(- (* -1 e) 1)
(- (* -1 e) 1)
(- (* -1 e) 1)
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (/ 1 e))))
(* (pow e 3) v)
(* (pow e 3) (+ v (* -1 (* e v))))
(* (pow e 3) (+ v (* e (- (* e v) v))))
(* (pow e 3) (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(* (pow e 2) v)
(* (pow e 2) (+ v (* -1 (/ v e))))
(* (pow e 2) (- (+ v (/ v (pow e 2))) (/ v e)))
(* (pow e 2) (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e))))
(* (pow e 2) v)
(* (pow e 2) (+ v (* -1 (/ v e))))
(* (pow e 2) (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))))
(* (pow e 2) (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(/ (* (pow e 3) v) (+ 1 e))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* 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)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(+ 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)
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)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
(* (pow e 3) v)
Outputs
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(fma.f64 e (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) e)
(+ (* e (+ 1 (/ 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 e #s(literal -1/2 binary64) (*.f64 v (*.f64 v (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))) (+.f64 e #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) (/ 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) (/ 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))
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 (+ 1 (/ 1 e)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(fma.f64 v (*.f64 v #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(fma.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64)) v) v (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e)))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) e)
(* -1 (cos v))
(neg.f64 (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (cos v))
(neg.f64 (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(* -1 (+ (cos v) (/ 1 e)))
(-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(fma.f64 v (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) e))))) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))
(* -1 (* e (* (cos v) (sin v))))
(neg.f64 (*.f64 (cos.f64 v) (*.f64 e (sin.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(*.f64 e (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v))))
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(fma.f64 (*.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 #s(literal 1 binary64) e))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (*.f64 v (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (*.f64 v (*.f64 v v)) (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)) 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)
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 2) v)
(*.f64 e (*.f64 e v))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))
(* (pow e 3) v)
(*.f64 v (*.f64 e (*.f64 e e)))

eval290.0ms (3.2%)

Memory
4.1MiB live, 204.9MiB allocated
Compiler

Compiled 26 935 to 2 745 computations (89.8% saved)

prune239.0ms (2.6%)

Memory
-2.7MiB live, 272.9MiB allocated
Pruning

49 alts after pruning (40 fresh and 9 done)

PrunedKeptTotal
New1 204161 220
Fresh132437
Picked235
Done066
Total1 219491 268
Accuracy
100.0%
Counts
1 268 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(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))
11.3%
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
33.9%
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e)) (neg.f64 e)) (*.f64 e e))
37.7%
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
32.8%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
32.3%
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (neg.f64 (sin.f64 v))) (*.f64 e e))
✓99.8%
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
98.8%
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
98.0%
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 e)))
13.3%
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
13.8%
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
32.3%
(/.f64 (*.f64 e (*.f64 e (*.f64 e (sin.f64 v)))) (*.f64 e e))
70.6%
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) e))
99.5%
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)))
5.8%
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
47.1%
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
70.3%
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
48.4%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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))
48.4%
(/.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))
5.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
48.4%
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
47.2%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
98.0%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
46.5%
(*.f64 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
64.3%
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (/.f64 #s(literal -1 binary64) e))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
70.6%
(*.f64 (/.f64 (sin.f64 v) (neg.f64 e)) (/.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
36.6%
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
✓99.3%
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
98.4%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)) e)
32.7%
(*.f64 (*.f64 (neg.f64 e) (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 e (neg.f64 e))))
46.6%
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
38.2%
(*.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
46.3%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓47.2%
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
46.5%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
25.9%
(*.f64 v (*.f64 e (neg.f64 e)))
✓46.0%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
46.2%
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) v) v))
46.3%
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
46.8%
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
✓46.9%
(*.f64 e (-.f64 v (*.f64 e v)))
25.9%
(*.f64 e (*.f64 e (neg.f64 v)))
✓98.2%
(*.f64 e (sin.f64 v))
✓46.6%
(*.f64 e v)
Compiler

Compiled 2 217 to 787 computations (64.5% saved)

regimes68.0ms (0.7%)

Memory
13.0MiB live, 132.3MiB allocated
Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e (*.f64 e (*.f64 e (sin.f64 v)))) (*.f64 e e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 e)))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (neg.f64 (sin.f64 v))) (*.f64 e e))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) 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 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) 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 (sin.f64 v) e) (*.f64 (+.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal -1 binary64) e)) (neg.f64 e)))
(/.f64 (*.f64 e (neg.f64 e)) (*.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (sin.f64 v)) e))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 e)) (/.f64 e (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (*.f64 e (neg.f64 e)) (*.f64 e (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e)) (neg.f64 e)) (*.f64 e e))
(*.f64 (*.f64 (neg.f64 e) (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 e (neg.f64 e))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 v) (*.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 e (neg.f64 e)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 e (*.f64 e e) (pow.f64 (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) (*.f64 e (neg.f64 e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e e))) (sin.f64 v)))
(/.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) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(/.f64 e (fma.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e (*.f64 e (*.f64 e e))) (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))) (/.f64 (*.f64 e (neg.f64 e)) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

22.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
21.0ms
v
21.0ms
e
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes47.0ms (0.5%)

Memory
2.8MiB live, 85.2MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e (*.f64 e (*.f64 e (sin.f64 v)))) (*.f64 e e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 e)))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (neg.f64 (sin.f64 v))) (*.f64 e e))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
Outputs
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Calls

3 calls:

16.0ms
e
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
v
Results
AccuracySegmentsBranch
99.3%1e
99.3%1v
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes45.0ms (0.5%)

Memory
-2.2MiB live, 75.9MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e (*.f64 e (*.f64 e (sin.f64 v)))) (*.f64 e e))
(/.f64 (*.f64 (sin.f64 v) e) (*.f64 (/.f64 #s(literal -1 binary64) e) (neg.f64 e)))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (neg.f64 (sin.f64 v))) (*.f64 e e))
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

15.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
Results
AccuracySegmentsBranch
98.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
98.8%1e
98.8%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory
-46.7MiB live, 66.0MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)) e)
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

23.0ms
e
13.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
98.4%1e
98.4%1v
98.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (0.4%)

Memory
24.4MiB live, 63.6MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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 (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

12.0ms
v
12.0ms
e
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.2%1e
98.2%1v
98.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (0.4%)

Memory
-16.2MiB live, 62.2MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (*.f64 e #s(literal 23/360 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 (fma.f64 v (-.f64 (*.f64 (*.f64 v v) (+.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/5040 binary64) (*.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64)))) e) v) e)
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 (*.f64 v (neg.f64 e)) e) (*.f64 (*.f64 v (neg.f64 e)) e))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v (neg.f64 e)) e)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal -1/3 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 v v) (fma.f64 v (*.f64 v (-.f64 (*.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))
Outputs
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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))
Calls

3 calls:

12.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
v
Results
AccuracySegmentsBranch
48.4%1e
48.4%1v
48.4%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)

regimes31.0ms (0.3%)

Memory
10.8MiB live, 52.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) 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))
(/.f64 e (/.f64 (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) e) v))
(/.f64 (/.f64 (*.f64 e (*.f64 (*.f64 e e) v)) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)))) (*.f64 e e))
Outputs
(/.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))
Calls

3 calls:

10.0ms
e
9.0ms
v
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes28.0ms (0.3%)

Memory
13.3MiB live, 52.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 e (fma.f64 (*.f64 v v) (*.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)) v) v))
Outputs
(/.f64 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
Calls

3 calls:

9.0ms
v
9.0ms
e
8.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
48.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.4%1e
48.4%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes28.0ms (0.3%)

Memory
-21.0MiB live, 57.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (/.f64 (*.f64 e (neg.f64 e)) (*.f64 (-.f64 #s(literal -1 binary64) e) e)))
(/.f64 (*.f64 v (*.f64 e (*.f64 e e))) (*.f64 e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 e v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 v e)))))
(/.f64 (neg.f64 v) (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v))
(/.f64 (*.f64 e (*.f64 v (*.f64 e e))) (*.f64 e (*.f64 e (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (*.f64 (*.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 (*.f64 e (*.f64 e (neg.f64 e))) (*.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 e e))))
(/.f64 (*.f64 (*.f64 (-.f64 v (*.f64 v e)) (fma.f64 v e v)) e) (fma.f64 v e v))
Outputs
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
Calls

3 calls:

9.0ms
v
9.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
8.0ms
e
Results
AccuracySegmentsBranch
47.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
47.2%1e
47.2%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
46.9%1e
46.9%1v
46.9%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)

regimes7.0ms (0.1%)

Memory
-24.0MiB live, 17.5MiB allocated
Accuracy

Total -14.4b remaining (-42.1%)

Threshold costs -14.4b (-42.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
Outputs
(*.f64 e v)
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
46.6%1e
46.6%1v
46.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify8.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
16×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046116
174116
287116
394116
498116
599116
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 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 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
Outputs
(*.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 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (*.f64 e #s(literal -1/45 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 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 e (/.f64 (+.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e v)
(*.f64 v e)

soundness1.0s (11.4%)

Memory
-10.2MiB live, 901.2MiB allocated
Rules
15 582×lower-fma.f64
15 582×lower-fma.f32
12 946×lower-fma.f64
12 946×lower-fma.f32
9 012×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01885
03585
111685
272685
3724385
0858085
04413701
113993550
242153436
086943233
01821153
15541138
215821106
352551024
08371956
0927
01527
14227
224127
3209727
0837025
07797085
125926670
081766256
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×node limit
1×iter limit
Compiler

Compiled 369 to 194 computations (47.4% saved)

preprocess126.0ms (1.4%)

Memory
9.5MiB live, 168.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 430 to 220 computations (48.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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