Trigonometry A

Time bar (total: 9.5s)

analyze7.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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)

sample1.2s (12.4%)

Memory
-3.4MiB live, 2 166.4MiB allocated
Samples
886.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 666.0ms
ival-sin: 217.0ms (32.6% of total)
ival-cos: 177.0ms (26.6% of total)
ival-mult: 119.0ms (17.9% of total)
ival-div: 50.0ms (7.5% of total)
ival-<=: 40.0ms (6% of total)
ival-add: 39.0ms (5.9% of total)
ival-and: 11.0ms (1.7% of total)
exact: 10.0ms (1.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess76.0ms (0.8%)

Memory
5.6MiB live, 56.4MiB 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)

explain181.0ms (1.9%)

Memory
24.0MiB live, 219.7MiB 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
79.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-cos: 39.0ms (60.9% of total)
ival-sin: 11.0ms (17.2% of total)
ival-mult: 8.0ms (12.5% of total)
ival-div: 3.0ms (4.7% of total)
ival-add: 2.0ms (3.1% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-36.4MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB 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)

localize39.0ms (0.4%)

Memory
1.6MiB live, 80.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
29.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.7% of total)
ival-sin: 6.0ms (28.7% of total)
ival-cos: 5.0ms (23.9% of total)
ival-div: 3.0ms (14.4% of total)
ival-add: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

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

rewrite336.0ms (3.6%)

Memory
-5.4MiB live, 671.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 798×lower-fma.f64
5 798×lower-fma.f32
4 350×lower-/.f32
4 348×lower-/.f64
3 988×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify388.0ms (4.1%)

Memory
14.0MiB live, 754.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
5 646×lower-*.f64
5 646×lower-*.f32
3 948×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval72.0ms (0.8%)

Memory
17.3MiB live, 177.8MiB allocated
Compiler

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

prune58.0ms (0.6%)

Memory
-21.5MiB live, 176.1MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New45411465
Fresh000
Picked101
Done000
Total45511466
Accuracy
99.9%
Counts
466 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(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))
21.1%
(/.f64 (/.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 (cos.f64 v))))
99.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))
99.1%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶50.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 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 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
49.9%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶98.4%
(*.f64 e (sin.f64 v))
Compiler

Compiled 368 to 222 computations (39.7% saved)

simplify451.0ms (4.8%)

Memory
-12.7MiB live, 633.0MiB 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)) (*.f64 e (sin.f64 v)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(fma.f64 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
12 712×lower-fma.f32
12 708×lower-fma.f64
2 800×lower-/.f32
2 792×lower-/.f64
2 664×lower-*.f32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
018123
035121
167121
2116121
3253121
4516121
5692121
6907121
71221121
81619121
92689118
103964118
114736118
125097118
135287118
145341118
155361118
166007118
176735118
187172118
197297118
207326118
217344118
227364118
237516118
247520118
257520118
08864118
Stop Event
1×iter limit
1×node limit
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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)
Outputs
(*.f64 (/.f64 (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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e v)
(*.f64 v e)
e
v
(+.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))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(sin.f64 v)

localize80.0ms (0.8%)

Memory
2.6MiB live, 197.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.7%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (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
49.0ms256×0valid
Compiler

Compiled 133 to 22 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.4% of total)
ival-div: 6.0ms (17.7% of total)
ival-sin: 6.0ms (17.7% of total)
ival-cos: 5.0ms (14.7% of total)
ival-add: 4.0ms (11.8% 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 (0.2%)

Memory
5.8MiB live, 44.2MiB allocated
Counts
14 → 288
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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e v)>
#<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 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))>
#<alt (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)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* 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 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

72 calls:

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

rewrite383.0ms (4%)

Memory
16.0MiB live, 744.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 794×lower-fma.f32
6 790×lower-fma.f64
5 134×lower-*.f32
5 124×lower-*.f64
3 768×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01887
03585
112485
276285
3751685
0854785
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 984
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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.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 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(neg.f64 e)
Outputs
(+.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.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 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (/.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 (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #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))))) (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 (*.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 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (/.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)))) (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 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (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)) (neg.f64 (*.f64 (sin.f64 v) e))))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e))) #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 (sin.f64 v) e)))
(*.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) (*.f64 e (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) (*.f64 (sin.f64 v) e))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (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 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 (sin.f64 v) e)))
(*.f64 (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) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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) (*.f64 (sin.f64 v) e))))
(*.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) (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (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 (sin.f64 v) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.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 (*.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 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (/.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))) e))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) (/.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 (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 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(*.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)) #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 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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))) (*.f64 (sin.f64 v) e)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 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)) (*.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 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)) (*.f64 (sin.f64 v) e)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) 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) (/.f64 (*.f64 e 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 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 0 binary64))
(neg.f64 e)
(neg.f64 (/.f64 (*.f64 e e) e))
(/.f64 #s(literal 1 binary64) (/.f64 e (neg.f64 (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (neg.f64 (*.f64 e (*.f64 e e)))))
(/.f64 (neg.f64 (*.f64 e e)) e)
(/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 0 binary64) (neg.f64 e)))
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e 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 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e))
(*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

simplify438.0ms (4.6%)

Memory
13.6MiB live, 847.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 612×lower-fma.f64
12 612×lower-fma.f32
6 576×lower-*.f64
6 576×lower-*.f32
4 338×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04153708
113363552
241533404
086773231
Stop Event
1×iter limit
1×node limit
Counts
288 → 282
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)))
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(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
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Outputs
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(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (-.f64 (fma.f64 v (*.f64 v (fma.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) (*.f64 v (neg.f64 v)) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (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)

eval175.0ms (1.8%)

Memory
-3.6MiB live, 381.0MiB allocated
Compiler

Compiled 32 582 to 2 902 computations (91.1% saved)

prune228.0ms (2.4%)

Memory
23.0MiB live, 298.5MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 483201 503
Fresh426
Picked235
Done000
Total1 489251 514
Accuracy
100.0%
Counts
1 514 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(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))
▶99.6%
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
▶99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
49.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
▶50.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
97.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
2.7%
(-.f64 v (/.f64 v e))
36.8%
(*.f64 (fma.f64 e (*.f64 e e) (neg.f64 (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e e))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.1%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
99.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
73.6%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
48.8%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
▶49.2%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
49.1%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.4%
(*.f64 e (sin.f64 v))
▶49.3%
(*.f64 e v)
Compiler

Compiled 667 to 406 computations (39.1% saved)

simplify487.0ms (5.1%)

Memory
-6.7MiB live, 794.6MiB 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-diff128
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
✓cost-diff192
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
✓cost-diff448
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓cost-diff0
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓cost-diff1088
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
Rules
27 412×lower-fma.f32
27 402×lower-fma.f64
4 160×lower-*.f32
4 150×lower-*.f64
3 112×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035296
067288
1126284
2281282
3756281
42767281
57249281
08303269
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin.f64 v)
(*.f64 e v)
e
v
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
#s(literal 1/24 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))
#s(literal 1/12 binary64)
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
#s(literal -7/360 binary64)
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
(fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
Outputs
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin.f64 v)
(*.f64 e v)
e
v
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
v
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
e
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 v (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v v) (+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) #s(literal -1/24 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
v
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)))
(+.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 v v) #s(literal -1/24 binary64))))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
(-.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 e #s(literal -7/360 binary64) #s(literal -7/360 binary64)) e))
#s(literal 1/24 binary64)
(+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))
(fma.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -7/360 binary64) e) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 (fma.f64 e #s(literal -7/360 binary64) #s(literal -7/360 binary64)) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
e
#s(literal -7/360 binary64)
(-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))
(fma.f64 (+.f64 e #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
(fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)

localize154.0ms (1.6%)

Memory
-12.1MiB live, 255.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
✓accuracy99.6%
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
✓accuracy99.4%
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
✓accuracy97.4%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓accuracy99.8%
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
✓accuracy90.9%
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.7%
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
Samples
95.0ms256×0valid
Compiler

Compiled 320 to 42 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 16.0ms (21.4% of total)
ival-add: 16.0ms (21.4% of total)
ival-mult: 16.0ms (21.4% of total)
const: 12.0ms (16% of total)
ival-cos: 7.0ms (9.4% of total)
ival-sin: 5.0ms (6.7% of total)
ival-sub: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-7.2MiB live, 77.5MiB allocated
Counts
19 → 360
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))>
#<alt (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt (*.f64 e v)>
#<alt (*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))>
#<alt (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)>
#<alt (*.f64 (*.f64 v v) #s(literal -1/6 binary64))>
#<alt (*.f64 v v)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))>
#<alt (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)))>
#<alt (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))>
#<alt (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))>
#<alt (/.f64 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 (/.f64 #s(literal 1 binary64) (sin.f64 v))>
#<alt (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)>
#<alt (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)>
#<alt (sin.f64 v)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))>
#<alt (* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))>
#<alt (- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))>
#<alt (/ 1 (cos v))>
#<alt (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))>
#<alt (/ e (+ 1 e))>
#<alt (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt (/ e (+ 1 (* e (cos v))))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* e (* v (+ 1 (* -1/6 (pow v 2)))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* e (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (* 1/6 (pow v 2)) 1)))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 2)))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1 (/ (+ 1/24 (* -7/360 (/ (+ 1 e) e))) (pow (+ 1 (/ 1 e)) 2))) (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (+ 1 (/ 1 e)))))) (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2)))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1 (/ (* (+ 1/24 (* -7/360 (/ (+ 1 e) e))) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (+ 1 (/ 1 e)))) (* -1 (/ (* (+ (* -1 (/ (+ 1/24 (* -7/360 (/ (+ 1 e) e))) (pow (+ 1 (/ 1 e)) 2))) (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (+ 1 (/ 1 e)))) (- (* 1/6 (/ 1 e)) 1/3)) (+ 1 (/ 1 e))))))) (+ (* -1 (/ (+ 1/24 (* -7/360 (/ (+ 1 e) e))) (pow (+ 1 (/ 1 e)) 2))) (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (+ 1 (/ 1 e))))))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (/ (- (/ 1/3 (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (+ (/ 1/6 (* e (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))) (pow v 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* 1/6 (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))))) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (+ (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (pow v 4))) (/ 1/3 (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (+ (/ 1/6 (* e (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))) (pow v 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (/ 1 e)) (- (* 1/3 (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* 1/6 (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))))) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (/ (* (+ (* -1 (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* 1/6 (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))))) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (+ (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (- (* 1/6 (/ 1 e)) 1/3)) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (pow v 6))) (/ 1/3 (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (+ (* -1 (/ (* (- (* 1/6 (/ 1 e)) 1/3) (- (* 1/3 (/ 1 (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* 1/6 (/ 1 (* e (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))))) (* (pow v 4) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))) (+ (/ 1/6 (* e (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* e (* (pow v 4) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (+ (/ 1 (* (pow v 4) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e))))))))) (pow v 3))>
#<alt (/ -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* -1 (/ (- (+ (/ 1/6 (* e (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/3 (/ 1 (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (/ 1 e)) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* -1 (/ (pow (- (* 1/6 (/ 1 e)) 1/3) 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 3)))) (pow v 4))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))))) (pow v 3)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (/ 1 e)) (- (* 1/6 (/ 1 e)) 1/3)) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 3))) (/ (* (+ (* -1 (/ (+ 1 (/ 1 e)) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2))) (* -1 (/ (pow (- (* 1/6 (/ 1 e)) 1/3) 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 3)))) (- (* 1/6 (/ 1 e)) 1/3)) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (pow v 6))) (/ 1 (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (+ (* -1 (/ (+ 1 (/ 1 e)) (* (pow v 4) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (* (pow v 2) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 2)))) (* -1 (/ (pow (- (* 1/6 (/ 1 e)) 1/3) 2) (* (pow v 4) (pow (+ 1/24 (* -7/360 (/ (+ 1 e) e))) 3))))))) (pow v 3)))>
#<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))))>
#<alt (- (+ (* -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)))))>
#<alt (/ 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 v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 2)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) (/ (* v (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) e)) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 3)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 4))) (* -1 (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 2)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) e)) (/ (* v (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) e)) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))>
#<alt (- (* 1/6 (/ 1 e)) 1/3)>
#<alt (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)>
#<alt (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)>
#<alt (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)>
#<alt (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ (+ 1/6 (* 7/360 (pow v 2))) e)>
#<alt (/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)>
#<alt (/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)>
#<alt (/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)>
#<alt (- (* -1/45 (pow v 2)) 1/3)>
#<alt (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)>
#<alt (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)>
#<alt (- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)>
#<alt (- (* -1/45 (pow v 2)) 1/3)>
#<alt (- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)>
#<alt (- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)>
#<alt (- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)>
#<alt (/ 7/360 e)>
#<alt (/ (+ 7/360 (* -1/45 e)) e)>
#<alt (/ (+ 7/360 (* -1/45 e)) e)>
#<alt (/ (+ 7/360 (* -1/45 e)) e)>
#<alt -1/45>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt -1/45>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt (- (* 7/360 (/ 1 e)) 1/45)>
#<alt (/ -7/360 e)>
#<alt (/ (- (* -7/360 e) 7/360) e)>
#<alt (/ (- (* -7/360 e) 7/360) e)>
#<alt (/ (- (* -7/360 e) 7/360) e)>
#<alt -7/360>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 1 e))))>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 1 e))))>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 1 e))))>
#<alt -7/360>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 1 e))))>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 1 e))))>
#<alt (* -1 (+ 7/360 (* 7/360 (/ 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 (- (+ (/ (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 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ (+ 1 (/ 1 e)) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)>
#<alt (* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e))))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))>
#<alt (* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) (* e v))>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)>
#<alt (/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))>
#<alt (/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))>
#<alt (/ -1/6 e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt (/ (- (* -1/6 e) 1/6) e)>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt -1/6>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* -1 (+ 1/6 (* 1/6 (/ 1 e))))>
#<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)>
Calls

90 calls:

TimeVariablePointExpression
8.0ms
v
@inf
(+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) (- -1/2 (/ (+ (* e -1/6) -1/6) e)))
2.0ms
v
@0
(/ 1 (/ (+ (* (* v v) (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) (- -1/2 (/ (+ (* e -1/6) -1/6) e)))) (+ 1 (/ 1 e))) v))
2.0ms
v
@inf
(/ 1 (/ (+ (* (* v v) (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) (- -1/2 (/ (+ (* e -1/6) -1/6) e)))) (+ 1 (/ 1 e))) v))
1.0ms
v
@-inf
(/ 1 (/ (+ (* (* v v) (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) (- -1/2 (/ (+ (* e -1/6) -1/6) e)))) (+ 1 (/ 1 e))) v))
1.0ms
e
@inf
(/ 1 (/ (+ (* (* v v) (+ (* (* v v) (- 1/24 (+ 1/12 (* (/ (+ e 1) e) -7/360)))) (- -1/2 (/ (+ (* e -1/6) -1/6) e)))) (+ 1 (/ 1 e))) v))

rewrite343.0ms (3.6%)

Memory
11.6MiB live, 649.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 932×lower-*.f32
4 922×lower-*.f64
4 648×lower-/.f32
4 628×lower-/.f64
3 002×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035196
067190
1311184
22519184
08992184
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 641
Calls
Call 1
Inputs
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
(*.f64 e v)
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)
(*.f64 (*.f64 v v) #s(literal -1/6 binary64))
(*.f64 v v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)))
(-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))
(*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))
(/.f64 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))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)
(sin.f64 v)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(neg.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 e) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 e))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) #s(literal 1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (neg.f64 e)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 e (*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 e) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 e) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 e)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 e))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #s(literal -1 binary64))
(*.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.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) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(+.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 (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v))) (+.f64 #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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 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) (neg.f64 (/.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))) (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v))))
(/.f64 (+.f64 #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 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (neg.f64 (+.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 (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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (-.f64 (*.f64 (*.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 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v))))))
(/.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 e (cos.f64 v) #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 e (cos.f64 v)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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))) #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 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (*.f64 e (cos.f64 v)))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(cos.f64 v)
(*.f64 e v)
(*.f64 v e)
(+.f64 (*.f64 e v) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(+.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v))
(fma.f64 e v (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(fma.f64 e (*.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v) (*.f64 e v))
(fma.f64 v e (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))))
(fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))) (*.f64 e v))
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(*.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) e))
(*.f64 (*.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(*.f64 (pow.f64 (/.f64 e (fma.f64 (*.f64 e (*.f64 e e)) #s(literal -1/216 binary64) #s(literal -1/216 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(*.f64 (pow.f64 (/.f64 e (fma.f64 (*.f64 e e) #s(literal 1/36 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal -1/6 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64))))
(sin.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal 1 binary64))
(pow.f64 (sin.f64 v) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify362.0ms (3.8%)

Memory
26.1MiB live, 569.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 424×lower-fma.f64
6 424×lower-fma.f32
5 908×lower-*.f64
5 908×lower-*.f32
3 362×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06556397
120316064
268446032
081685634
Stop Event
1×iter limit
1×node limit
Counts
360 → 357
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
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(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
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(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(/ e (+ 1 e))
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(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
1
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(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
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(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
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(* e v)
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(* e v)
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(* v (+ e (* -1/6 (* e (pow v 2)))))
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(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
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(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
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(* e (* v (+ 1 (* -1/6 (pow v 2)))))
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e
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(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/3 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (* e (pow (+ 1 (/ 1 e)) 2)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* 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))))))))
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(- (+ (* -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)))))
(/ 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 v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))))
(+ (* -1 (/ (- (* -1 (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 2)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) (/ (* v (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) e)) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 3)) (* e (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 4))) (* -1 (/ (* v (pow (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1) 2)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 3)))) e)) (/ (* v (- (* (pow v 2) (- (* -7/360 (pow v 2)) 1/6)) 1)) (pow (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) 2))) e)) (/ v (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3)))))
(- (* 1/6 (/ 1 e)) 1/3)
(- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)
(- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)
(- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)
(* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(/ (+ 1/6 (* 7/360 (pow v 2))) e)
(/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)
(/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)
(/ (+ 1/6 (+ (* 7/360 (pow v 2)) (* e (- (* -1/45 (pow v 2)) 1/3)))) e)
(- (* -1/45 (pow v 2)) 1/3)
(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (+ (* -1/45 (pow v 2)) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) 1/3)
(- (* -1/45 (pow v 2)) 1/3)
(- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)
(- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)
(- (+ (* -1 (/ (- (* -7/360 (pow v 2)) 1/6) e)) (* -1/45 (pow v 2))) 1/3)
(/ 7/360 e)
(/ (+ 7/360 (* -1/45 e)) e)
(/ (+ 7/360 (* -1/45 e)) e)
(/ (+ 7/360 (* -1/45 e)) e)
-1/45
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
-1/45
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(- (* 7/360 (/ 1 e)) 1/45)
(/ -7/360 e)
(/ (- (* -7/360 e) 7/360) e)
(/ (- (* -7/360 e) 7/360) e)
(/ (- (* -7/360 e) 7/360) e)
-7/360
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
-7/360
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* -1 (+ 7/360 (* 7/360 (/ 1 e))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* 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 v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ 1 (sin v))
(/ (+ 1 (/ 1 e)) v)
(/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)
(* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e))))))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) (* e v))
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(/ -1/6 e)
(/ (- (* -1/6 e) 1/6) e)
(/ (- (* -1/6 e) 1/6) e)
(/ (- (* -1/6 e) 1/6) e)
-1/6
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
-1/6
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
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)
Outputs
(* 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) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 #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))))
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(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v)
(/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)
(/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ 1/24 (* -7/360 (/ (+ 1 e) e))))) (* 1/6 (/ 1 e))) 1/3)) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) e))) v)
(* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (/ 1/6 (* e (pow v 2)))) (* 1/3 (/ 1 (pow v 2)))))
(*.f64 v (*.f64 (*.f64 v v) (+.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (*.f64 v v)))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (*.f64 v v)))))
(* (pow v 3) (- (+ (* -1 (+ 1/24 (* -7/360 (/ (+ 1 e) e)))) (+ (/ 1/6 (* e (pow v 2))) (+ (/ 1 (* e (pow v 4))) (/ 1 (pow v 4))))) (* 1/3 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (*.f64 v v)))))
(* -1 (* (pow v 3) (+ 1/24 (* -7/360 (/ (+ 1 e) e)))))
(*.f64 (*.f64 v (*.f64 v v)) (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 7/360 binary64) e))))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e))))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 #s(literal -7/360 binary64) (/.f64 #s(literal -7/360 binary64) e)) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)) (*.f64 v v)))) (*.f64 (neg.f64 v) (*.f64 v v)))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (+.f64 #s(literal -7/360 binary64) (/.f64 #s(literal -7/360 binary64) e)) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)) (*.f64 v v))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 (neg.f64 v) (*.f64 v v)))
(* -1 (* (pow v 3) (+ 1/24 (+ (* -1 (/ (+ 1 (/ 1 e)) (pow v 4))) (+ (* -1 (/ (- (* 1/6 (/ 1 e)) 1/3) (pow v 2))) (* -7/360 (/ (+ 1 e) e)))))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (+.f64 (+.f64 (+.f64 #s(literal -7/360 binary64) (/.f64 #s(literal -7/360 binary64) e)) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) e) #s(literal 1/3 binary64)) (*.f64 v v))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) (*.f64 (*.f64 v v) (*.f64 v v))))) (*.f64 (neg.f64 v) (*.f64 v v)))
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) (* e v))
(/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 e v))
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/.f64 (fma.f64 e (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) v))) e)
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/.f64 (fma.f64 e (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) v))) e)
(/ (+ (* e (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v))) (+ (* v (+ 1/6 (* 7/360 (pow v 2)))) (/ 1 v))) e)
(/.f64 (fma.f64 e (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) v))) e)
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v)
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 v (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 v (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(+ (* v (- (* -1/45 (pow v 2)) 1/3)) (+ (/ 1 v) (+ (/ 1 (* e v)) (/ (* v (+ 1/6 (* 7/360 (pow v 2)))) e))))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (fma.f64 v (/.f64 (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) e) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(/ (+ 1 (* (pow v 2) (- (* -1/45 (pow v 2)) 1/3))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) v)
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(+ (* -1 (/ (- (* v (- (* -7/360 (pow v 2)) 1/6)) (/ 1 v)) e)) (+ (* v (- (* -1/45 (pow v 2)) 1/3)) (/ 1 v)))
(-.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 v (fma.f64 (*.f64 v v) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) v)) e))
(/ -1/6 e)
(/.f64 #s(literal -1/6 binary64) e)
(/ (- (* -1/6 e) 1/6) e)
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(/ (- (* -1/6 e) 1/6) e)
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(/ (- (* -1/6 e) 1/6) e)
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
-1/6
#s(literal -1/6 binary64)
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
(* -1 (+ 1/6 (* 1/6 (/ 1 e))))
(-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/6 binary64) e))
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 v (*.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v) 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 (*.f64 v v) (fma.f64 v (*.f64 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)

eval168.0ms (1.8%)

Memory
24.2MiB live, 265.2MiB allocated
Compiler

Compiled 43 535 to 3 357 computations (92.3% saved)

prune145.0ms (1.5%)

Memory
-11.9MiB live, 263.5MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1 113171 130
Fresh11617
Picked415
Done033
Total1 118371 155
Accuracy
100.0%
Counts
1 155 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
49.2%
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
69.9%
(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))
99.2%
(/.f64 (fma.f64 (*.f64 e (neg.f64 e)) (cos.f64 v) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.0%
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
9.0%
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
5.8%
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
▶49.9%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
▶51.2%
(/.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))
49.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
▶98.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
2.7%
(-.f64 v (/.f64 v e))
36.8%
(*.f64 (fma.f64 e (*.f64 e e) (neg.f64 (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e e))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.1%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
99.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
73.6%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
48.8%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
49.2%
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
49.2%
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
28.7%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
49.1%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
50.5%
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
▶49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
✓98.4%
(*.f64 e (sin.f64 v))
✓49.3%
(*.f64 e v)
Compiler

Compiled 1 060 to 623 computations (41.2% saved)

simplify562.0ms (5.9%)

Memory
-248.1MiB live, 381.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓cost-diff1088
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓cost-diff0
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
✓cost-diff384
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(-.f64 v (*.f64 e v))
✓cost-diff0
(*.f64 e (-.f64 v (*.f64 e v)))
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff384
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
9 526×lower-fma.f32
9 518×lower-fma.f64
2 894×lower-*.f32
2 888×lower-*.f64
2 148×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
049149
187139
2189139
3483139
4867139
51452139
61963139
72716139
85478139
08214135
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
e
(-.f64 v (*.f64 e v))
v
(*.f64 e v)
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
v
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
e
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
e
(/.f64 #s(literal 1 binary64) (sin.f64 v))
#s(literal 1 binary64)
(sin.f64 v)
v
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (fma.f64 e (neg.f64 e) e))
e
(-.f64 v (*.f64 e v))
(-.f64 v (*.f64 v e))
v
(*.f64 e v)
(*.f64 v e)
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
v
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) e)
e
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)))
e
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) e)
e
(/.f64 #s(literal 1 binary64) (sin.f64 v))
#s(literal 1 binary64)
(sin.f64 v)
v

localize107.0ms (1.1%)

Memory
20.8MiB live, 177.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
✓accuracy99.7%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
✓accuracy99.9%
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
✓accuracy99.8%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
✓accuracy78.5%
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.7%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
✓accuracy100.0%
(-.f64 v (*.f64 e v))
✓accuracy100.0%
(*.f64 e (-.f64 v (*.f64 e v)))
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
68.0ms256×0valid
Compiler

Compiled 166 to 31 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 16.0ms (30.6% of total)
ival-mult: 10.0ms (19.1% of total)
ival-sin: 10.0ms (19.1% of total)
ival-add: 6.0ms (11.5% of total)
ival-cos: 5.0ms (9.6% of total)
const: 3.0ms (5.7% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
-1.5MiB live, 36.4MiB allocated
Counts
18 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (sin.f64 v)>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 e (-.f64 v (*.f64 e v)))>
#<alt (-.f64 v (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))>
#<alt (/.f64 #s(literal 1 binary64) e)>
#<alt (/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))>
#<alt (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)>
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))>
#<alt (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 v))>
#<alt (cos.f64 v)>
#<alt (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))>
Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (/ 1 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (- 1 e)))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (- 1 e))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt (* v (+ 1 (* -1 e)))>
#<alt v>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (+ v (* -1 (* e v)))>
#<alt (* -1 (* e v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* e (- (/ v e) v))>
#<alt (* -1 (* e v))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v))))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (/ v (+ 1 (/ 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 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) 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 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (* -1/3 e)>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1/3 e)>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))>
#<alt (* e (+ 1 (* -1/3 (pow v 2))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))>
#<alt (* -1 (* e (- (* 1/3 (pow v 2)) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))>
#<alt (* e (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 (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (+ 1/6 (* 1/6 e))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* 1/6 e)>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
#<alt (* e (+ 1/6 (* 1/6 (/ 1 e))))>
Calls

87 calls:

TimeVariablePointExpression
18.0ms
e
@0
(+ (* e -1/2) (+ (* e 1/6) 1/6))
2.0ms
v
@-inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
e
@inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
v
@inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))
1.0ms
e
@-inf
(/ e (/ (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) (+ e 1)) v))

rewrite381.0ms (4%)

Memory
18.5MiB live, 530.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 030×lower-/.f32
5 014×lower-/.f64
4 244×lower-fma.f32
4 236×lower-fma.f64
4 186×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
049125
1219115
21723115
08621111
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 646
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (*.f64 e v))
(*.f64 e v)
(/.f64 v (+.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 binary64) e)
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(cos.f64 v)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))) (*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) e))
(neg.f64 (*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) e))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) e))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e #s(literal -1 binary64)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 (sin.f64 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) e)))
(*.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)))) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (*.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) e)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
(/.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))))
(/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 e))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (sin.f64 v)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 v))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (sin.f64 v) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 v) (sin.f64 v)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 v))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64)))
(cos.f64 v)
(+.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))
(+.f64 (*.f64 e #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(-.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (*.f64 e #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 e (*.f64 e #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e) (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal -1 binary64)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (*.f64 e #s(literal 1/36 binary64)))))
(/.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (*.f64 e #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 e (*.f64 e #s(literal 1/36 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 e (*.f64 e #s(literal 1/36 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 e #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(/.f64 (neg.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) #s(literal 1/6 binary64))) (neg.f64 (+.f64 e #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 e (*.f64 e #s(literal 1/36 binary64))) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))
(*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 e (*.f64 e e)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal 1/36 binary64)) (*.f64 e #s(literal 1/36 binary64)))))
(*.f64 (fma.f64 e (*.f64 e #s(literal 1/36 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal -1/6 binary64))))

simplify307.0ms (3.2%)

Memory
6.9MiB live, 521.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 886×lower-*.f64
6 886×lower-*.f32
6 390×lower-fma.f64
6 390×lower-fma.f32
2 236×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05033896
115753794
250063750
081783476
Stop Event
1×iter limit
1×node limit
Counts
348 → 344
Calls
Call 1
Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
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(*.f64 v (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 v (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(*.f64 v (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v v))))
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 e v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 e v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+.f64 (/.f64 #s(literal 1 binary64) v) (fma.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (/.f64 e v)))
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v)
(/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v)
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))
(/.f64 (*.f64 (neg.f64 e) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v)
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e)))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(*.f64 (*.f64 v v) (+.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 e (*.f64 v v)))))
(+ 1 (* 1/6 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (pow v 2)) (* e (+ 1 (* -1/3 (pow v 2))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* e (+ 1 (* -1/3 (pow v 2))))
(fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e)
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* e (+ 1 (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)))))
(+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* -1 (* e (- (* 1/3 (pow v 2)) 1)))
(*.f64 (neg.f64 e) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(neg.f64 (*.f64 e (-.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(neg.f64 (*.f64 e (-.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e))))
(* -1 (* e (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1)))
(neg.f64 (*.f64 e (-.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 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 v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 v (*.f64 e #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 e (*.f64 (*.f64 v v) #s(literal 1/120 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 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64))) (*.f64 e #s(literal -1/6 binary64)))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 1/6 (pow v 2))) v)
(/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)
(/.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) v)
(/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) v)
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/6 e))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/6 e))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/6 e))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* 1/6 e)
(*.f64 e #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
(* e (+ 1/6 (* 1/6 (/ 1 e))))
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))

eval132.0ms (1.4%)

Memory
6.9MiB live, 268.5MiB allocated
Compiler

Compiled 27 003 to 2 888 computations (89.3% saved)

prune176.0ms (1.9%)

Memory
-1.9MiB live, 348.1MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New996241 020
Fresh101828
Picked325
Done044
Total1 009481 057
Accuracy
100.0%
Counts
1 057 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
69.9%
(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))
99.2%
(/.f64 (fma.f64 (*.f64 e (neg.f64 e)) (cos.f64 v) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.0%
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
9.0%
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
51.3%
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
50.6%
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
98.3%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
5.9%
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
5.8%
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
5.9%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
50.9%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
51.2%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
51.2%
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
5.9%
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
50.0%
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
4.6%
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
51.2%
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
✓98.3%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
51.2%
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
50.5%
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
4.8%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
50.5%
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
50.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
50.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
2.3%
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
36.8%
(*.f64 (fma.f64 e (*.f64 e e) (neg.f64 (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e e))))
✓99.8%
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
99.3%
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
99.1%
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
51.4%
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
50.0%
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
99.3%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
73.6%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
98.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
48.8%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
49.2%
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
28.7%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
49.1%
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
✓49.7%
(*.f64 e (-.f64 v (*.f64 e v)))
49.7%
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
30.4%
(*.f64 e (*.f64 e (neg.f64 v)))
✓98.4%
(*.f64 e (sin.f64 v))
✓49.3%
(*.f64 e v)
2.7%
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
Compiler

Compiled 1 793 to 721 computations (59.8% saved)

regimes61.0ms (0.6%)

Memory
11.0MiB live, 127.3MiB allocated
Counts
73 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (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)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.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 (fma.f64 (*.f64 e (neg.f64 e)) (cos.f64 v) e) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) 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 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 e (*.f64 e e) (neg.f64 (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (fma.f64 (neg.f64 (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 e (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))) (*.f64 e e))))
(/.f64 (/.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 (cos.f64 v))))
Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
Calls

3 calls:

20.0ms
v
19.0ms
e
19.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.8%1e
99.8%1v
99.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.5%)

Memory
-8.4MiB live, 112.4MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
Calls

3 calls:

16.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
16.0ms
v
15.0ms
e
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)

regimes49.0ms (0.5%)

Memory
27.6MiB live, 107.4MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Outputs
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Calls

3 calls:

16.0ms
e
16.0ms
v
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 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)

regimes49.0ms (0.5%)

Memory
-9.3MiB live, 107.6MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
Outputs
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
Calls

3 calls:

15.0ms
e
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
15.0ms
v
Results
AccuracySegmentsBranch
99.1%1e
99.1%1v
99.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes60.0ms (0.6%)

Memory
-13.3MiB live, 96.9MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

30.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
14.0ms
e
13.0ms
v
Results
AccuracySegmentsBranch
98.8%1e
98.8%1v
98.8%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)

regimes44.0ms (0.5%)

Memory
-23.2MiB live, 96.5MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

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

regimes42.0ms (0.4%)

Memory
17.0MiB live, 95.2MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (*.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) v))
(/.f64 e (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) #s(literal 1/6 binary64)) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 v e)))
(/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 e #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v))
(/.f64 e (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 1/6 binary64) e) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 e (/.f64 (+.f64 e (fma.f64 e (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 v v) e) (*.f64 (*.f64 v v) #s(literal -1/3 binary64))) #s(literal 1 binary64))) v))
(/.f64 e (*.f64 (neg.f64 e) (-.f64 (fma.f64 v #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 v #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 e (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 v e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))))
(neg.f64 (fma.f64 v (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))))) (/.f64 v (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v #s(literal 1/6 binary64)) v) (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)) (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) #s(literal -7/360 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v))))) (*.f64 (*.f64 e v) (*.f64 e v))) (-.f64 (*.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 e (*.f64 v v)))) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
Calls

3 calls:

14.0ms
e
13.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
51.4%1v
51.4%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
51.4%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes22.0ms (0.2%)

Memory
11.4MiB live, 50.7MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

7.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
7.0ms
e
7.0ms
v
Results
AccuracySegmentsBranch
50.6%1e
50.6%1v
50.6%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)

regimes19.0ms (0.2%)

Memory
1.5MiB live, 43.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(*.f64 v (fma.f64 v (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) e))
(*.f64 v (fma.f64 (*.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (fma.f64 v (*.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 v (*.f64 e (*.f64 v v))) #s(literal -1/6 binary64) (*.f64 e v))
(fma.f64 (*.f64 v (*.f64 v #s(literal -1/6 binary64))) (*.f64 e v) (*.f64 e v))
Outputs
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
Calls

3 calls:

7.0ms
v
6.0ms
e
5.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
50.0%1e
50.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
50.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
-19.8MiB live, 19.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 e (-.f64 v (*.f64 e v)))
(-.f64 v (/.f64 v e))
(*.f64 e (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

3.0ms
v
2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
e
Results
AccuracySegmentsBranch
49.7%1e
49.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.7%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Accuracy

Total -13.2b remaining (-40.6%)

Threshold costs -13.2b (-40.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
Outputs
(*.f64 e v)
Calls

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
49.3%1e
49.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
49.3%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify9.0ms (0.1%)

Memory
-19.7MiB live, 19.9MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
20×+-commutative_binary64
18×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03894
17294
29394
310494
411194
511394
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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (+.f64 e #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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (sin.f64 v)) e)
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (+.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 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 v e) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 v (+.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)

soundness1.4s (14.8%)

Memory
7.8MiB live, 917.3MiB allocated
Rules
14 120×lower-fma.f64
14 120×lower-fma.f32
12 612×lower-fma.f64
12 612×lower-fma.f32
6 886×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
05033896
115753794
250063750
081783476
06556397
120316064
268446032
081685634
04153708
113363552
241533404
086773231
0929
01529
14229
224129
3209729
0837027
01887
03585
112485
276285
3751685
0854785
025125
049125
1219115
21723115
08621111
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 365 to 197 computations (46% saved)

preprocess101.0ms (1.1%)

Memory
28.7MiB live, 105.8MiB allocated
Remove

(negabs v)

Compiler

Compiled 458 to 254 computations (44.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...