Trigonometry A

Time bar (total: 9.6s)

analyze7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (16.1%)

Memory
-89.6MiB live, 2 637.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 972.0ms
ival-sin: 440.0ms (45.3% of total)
ival-cos: 210.0ms (21.6% of total)
ival-mult: 135.0ms (13.9% of total)
ival-div: 71.0ms (7.3% of total)
ival-add: 46.0ms (4.7% of total)
ival-<=: 44.0ms (4.5% of total)
ival-and: 11.0ms (1.1% of total)
exact: 11.0ms (1.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess81.0ms (0.8%)

Memory
-1.0MiB live, 58.3MiB 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)

explain159.0ms (1.6%)

Memory
-11.8MiB live, 220.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-e
00-0-(*.f64 e (cos.f64 v))
00-0-(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
00-0-v
00-0-(sin.f64 v)
00-0-(*.f64 e (sin.f64 v))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
00-0-(cos.f64 v)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
77.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-sin: 36.0ms (58.2% of total)
ival-cos: 13.0ms (21% of total)
ival-mult: 6.0ms (9.7% of total)
ival-div: 3.0ms (4.9% of total)
ival-add: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.4%)

Memory
0.5MiB live, 82.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy99.9%
(/.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
30.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 9.0ms (44.1% of total)
ival-cos: 5.0ms (24.5% of total)
ival-mult: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
ival-add: 1.0ms (4.9% 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
24.1MiB live, 24.1MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (*.f64 e (cos.f64 v))>
#<alt (cos.f64 v)>
Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
Calls

30 calls:

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

rewrite341.0ms (3.5%)

Memory
13.0MiB live, 679.5MiB 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) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v)))))))
(*.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (*.f64 e (sin.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 e (sin.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(*.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify455.0ms (4.7%)

Memory
-44.1MiB live, 645.6MiB 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)

eval55.0ms (0.6%)

Memory
28.2MiB live, 106.6MiB allocated
Compiler

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

prune54.0ms (0.6%)

Memory
-1.5MiB live, 115.2MiB 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
68.3%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -2 binary64)) (pow.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 2 binary64))) (+.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))))))))
98.4%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶47.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.5%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
99.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
▶98.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
▶99.8%
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
46.8%
(*.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))))
▶96.7%
(*.f64 e (sin.f64 v))
Compiler

Compiled 404 to 224 computations (44.6% saved)

simplify111.0ms (1.1%)

Memory
-11.3MiB live, 87.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
✓cost-diff448
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓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
(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-diff0
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Rules
1 288×lower-fma.f32
1 284×lower-fma.f64
936×lower-*.f32
922×lower-*.f64
462×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020129
038123
172123
2145123
3356123
41051123
51711123
62594123
72869123
82974123
93052123
103072123
113072123
123072123
03072123
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #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)
(sin.f64 v)
(/.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 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(sin.f64 v)
v
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(neg.f64 e)
e
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 e (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)))
(/.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)
(sin.f64 v)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (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)))
(sin.f64 v)
v
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(neg.f64 e)
e
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)

localize101.0ms (1.1%)

Memory
-8.9MiB live, 148.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓accuracy99.9%
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
✓accuracy100.0%
(neg.f64 e)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
✓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)
✓accuracy99.9%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Samples
66.0ms256×0valid
Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-cos: 23.0ms (45.2% of total)
ival-mult: 13.0ms (25.6% of total)
ival-sin: 6.0ms (11.8% of total)
ival-div: 5.0ms (9.8% of total)
ival-add: 4.0ms (7.9% of total)
ival-neg: 1.0ms (2% 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
1.0MiB live, 38.9MiB allocated
Counts
15 → 312
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #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 (*.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 (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 (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))>
#<alt (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))>
#<alt (neg.f64 e)>
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))>
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>
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#<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)>
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#<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 (* -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>
#<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 (* 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 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 (/ (* 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 (* -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>
#<alt (- (* e (cos v)) 1)>
#<alt (- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)>
#<alt (- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)>
#<alt (/ -1 (* e (cos v)))>
#<alt (/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)>
#<alt (/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)>
#<alt (/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)>
#<alt (/ -1 (* e (cos v)))>
#<alt (* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))>
#<alt (/ -1 (+ 1 e))>
#<alt (- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))>
#<alt (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (+ (* 1/720 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3))))) (+ 1 e))))))) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
#<alt (/ -1 (+ 1 (* e (cos v))))>
Calls

78 calls:

TimeVariablePointExpression
5.0ms
v
@-inf
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
e
@0
(* (/ e (+ (* e (cos v)) 1)) (sin v))
1.0ms
v
@inf
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
v
@0
(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms
v
@0
(/ -1 (+ (* e (cos v)) 1))

rewrite381.0ms (4%)

Memory
26.1MiB live, 499.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 562×lower-fma.f32
6 558×lower-fma.f64
4 764×lower-*.f32
4 750×lower-*.f64
3 210×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02094
03888
112288
273988
3690588
0804688
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 898
Calls
Call 1
Inputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #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 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
(*.f64 e (sin.f64 v))
(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)
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 e)
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (fma.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))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(fma.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v)) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (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 #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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.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 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(/.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e (neg.f64 e))) e)
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e (*.f64 e (neg.f64 e)))) (*.f64 e e))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 (*.f64 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 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 e (neg.f64 e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) e)
(/.f64 (*.f64 (*.f64 e (*.f64 e (neg.f64 e))) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (*.f64 e e))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.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))))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (neg.f64 e)))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
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(*.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
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(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 v) (neg.f64 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 v v)))) #s(literal -1 binary64))) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (*.f64 (sin.f64 v) (neg.f64 e))))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))

simplify377.0ms (3.9%)

Memory
-6.7MiB live, 623.5MiB allocated
Algorithm
1×egg-herbie
Rules
11 168×lower-fma.f64
11 168×lower-fma.f32
7 248×lower-*.f64
7 248×lower-*.f32
3 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04264060
113533918
241833877
085553692
Stop Event
1×iter limit
1×node limit
Counts
312 → 304
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 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)))))
(/ 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))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (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)))
(+ (* (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)))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (sin v))
(* e (sin v))
(* 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)
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ e (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 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)))))
(/ 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))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (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)))
(+ (* (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)))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(/ (* e 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)))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
-1
(- (* e (cos v)) 1)
(- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)
(- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)
(/ -1 (* e (cos v)))
(/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)
(/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
(/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
(/ -1 (* e (cos v)))
(* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e))
(* -1 (/ (+ (* -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 (+ 1 e))
(- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))
(- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (+ (* 1/720 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3))))) (+ 1 e))))))) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
(/ -1 (+ 1 (* e (cos v))))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.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 e (*.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 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)))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/720 binary64) (/.f64 (*.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/24 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 e (*.f64 e #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (-.f64 (*.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 e (*.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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))
(* -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)
-1
#s(literal -1 binary64)
(- (* e (cos v)) 1)
(fma.f64 e (cos.f64 v) #s(literal -1 binary64))
(- (* e (- (* -1 (* e (pow (cos v) 2))) (* -1 (cos v)))) 1)
(fma.f64 e (-.f64 (cos.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) #s(literal -1 binary64))
(- (* e (- (* e (- (* e (pow (cos v) 3)) (pow (cos v) 2))) (* -1 (cos v)))) 1)
(fma.f64 e (fma.f64 e (-.f64 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v)) #s(literal -1 binary64))
(/ -1 (* e (cos v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(/ (- (/ 1 (* e (pow (cos v) 2))) (/ 1 (cos v))) e)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(/ (- (/ 1 (* e (pow (cos v) 2))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))) e)
(/ (- (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))) (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3))))) e)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 v)) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))))) e)
(/ -1 (* e (cos v)))
(/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (/ (- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) e))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v))) e))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))) (neg.f64 e))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) e))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e)) (neg.f64 e))
(/ -1 (+ 1 e))
(/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64)))
(- (* -1/2 (/ (* e (pow v 2)) (pow (+ 1 e) 2))) (/ 1 (+ 1 e)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 e (*.f64 v v)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal 1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/48 (/ (pow e 2) (pow (+ 1 e) 3))) (+ (* 1/720 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3))))) (+ 1 e))))))) (+ (* -1/24 (/ e (pow (+ 1 e) 2))) (* 1/4 (/ (pow e 2) (pow (+ 1 e) 3)))))) (* 1/2 (/ e (pow (+ 1 e) 2))))) (/ 1 (+ 1 e)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 #s(literal 1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (*.f64 (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/4 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 #s(literal 1/720 binary64) (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/48 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) (/.f64 (*.f64 e #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal 1 binary64))))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ -1 (+ 1 (* e (cos v))))
(/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))

eval170.0ms (1.8%)

Memory
27.5MiB live, 324.8MiB allocated
Compiler

Compiled 31 918 to 2 778 computations (91.3% saved)

prune204.0ms (2.1%)

Memory
-17.9MiB live, 388.6MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 405211 426
Fresh426
Picked145
Done000
Total1 410271 437
Accuracy
100.0%
Counts
1 437 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.7%
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e (neg.f64 e))) e)
▶98.4%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓47.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
98.1%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
99.5%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
46.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
98.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
99.2%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
66.0%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓98.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.4%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
98.1%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))
47.0%
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
▶45.1%
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
45.8%
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
46.0%
(*.f64 v (-.f64 e (*.f64 e e)))
45.1%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
▶44.9%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
45.1%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
46.5%
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
46.3%
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
✓96.7%
(*.f64 e (sin.f64 v))
▶45.3%
(*.f64 e v)
Compiler

Compiled 696 to 406 computations (41.7% saved)

simplify306.0ms (3.2%)

Memory
23.2MiB live, 376.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(*.f64 e (sin.f64 v))
✓cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓cost-diff0
(*.f64 v #s(literal 1/120 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓cost-diff0
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
✓cost-diff0
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓cost-diff0
(*.f64 v #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
✓cost-diff0
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
✓cost-diff0
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
✓cost-diff0
(*.f64 e v)
✓cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓cost-diff0
(sin.f64 v)
✓cost-diff192
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓cost-diff192
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Rules
6 012×lower-*.f32
5 994×lower-*.f64
2 726×lower-/.f32
2 720×lower-/.f64
2 600×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024132
047126
187126
2151125
3335125
4653125
5919125
61134125
71158125
81187125
91226125
101358125
111407125
121435123
131453123
141491123
151706123
162120123
172598123
182944123
193258123
203425123
213668123
224733123
235398123
246251123
256634123
266866123
277084123
287284123
297484123
08144122
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
e
v
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
v
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
e
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
e
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
v
(*.f64 v #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(*.f64 v v)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
Outputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
(*.f64 e v)
(*.f64 v e)
e
v
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 e (fma.f64 v (*.f64 #s(literal -1/6 binary64) (*.f64 v v)) v))
v
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
(fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e)
e
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 v v))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
e
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
v
(*.f64 v #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 v (*.f64 v v))
(*.f64 v v)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)

localize128.0ms (1.3%)

Memory
-27.3MiB live, 120.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.9%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
✓accuracy99.8%
(*.f64 e (sin.f64 v))
✓accuracy99.9%
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓accuracy99.8%
(*.f64 v (*.f64 v v))
✓accuracy99.8%
(*.f64 v #s(literal 1/120 binary64))
✓accuracy96.3%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓accuracy99.9%
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
✓accuracy99.7%
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
✓accuracy99.3%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy86.4%
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
✓accuracy100.0%
(*.f64 e v)
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
97.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-add: 31.0ms (37.4% of total)
ival-mult: 28.0ms (33.8% of total)
const: 7.0ms (8.5% of total)
ival-sin: 6.0ms (7.2% of total)
ival-div: 5.0ms (6% of total)
ival-cos: 5.0ms (6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-1.7MiB live, 36.1MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)>
#<alt (sin.f64 v)>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (*.f64 e v)>
#<alt (*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))>
#<alt (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)>
#<alt (*.f64 v (*.f64 v #s(literal -1/6 binary64)))>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))>
#<alt (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)>
#<alt (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 v #s(literal 1/120 binary64))>
#<alt (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt (cos.f64 v)>
#<alt (*.f64 v (*.f64 v v))>
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 (/ 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 v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e 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 (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))>
#<alt (* 1/120 (* e (pow v 5)))>
#<alt (* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt (* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 5))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<alt (* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (- (* 1/120 (pow v 2)) 1/6)>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 (pow v 2))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* 1/120 v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))>
#<alt (- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))>
#<alt (sin v)>
#<alt (+ (sin v) (* -1 (/ (sin v) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))>
#<alt (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (/ (* e (sin v)) (+ 1 e))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -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 (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
e
@0
(* v (+ (* e (* v (* v -1/6))) e))
1.0ms
e
@0
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
1.0ms
v
@-inf
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))
1.0ms
e
@inf
(* v (+ (* e (* v (* v -1/6))) e))
1.0ms
v
@inf
(* e (+ (* (+ (* v (* v 1/120)) -1/6) (* v (* v v))) v))

rewrite364.0ms (3.8%)

Memory
22.7MiB live, 453.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 014×lower-fma.f32
9 006×lower-fma.f64
5 772×lower-*.f32
5 754×lower-*.f64
3 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024112
047106
1166106
21074105
08559104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 637
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e v)
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e)
(*.f64 v (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 v #s(literal 1/120 binary64))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (sin.f64 v))
(+.f64 #s(literal 1 binary64) e)
(cos.f64 v)
(*.f64 v (*.f64 v v))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e)) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))))
(neg.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) e))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.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 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #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 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) e))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #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 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.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 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) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (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 (sin.f64 v) (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 (sin.f64 v) (/.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 (*.f64 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 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))) (neg.f64 e))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) e)
(*.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64)) e)
(+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v))))
(+.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v))) (/.f64 #s(literal 1 binary64) e))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) e))
(exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 e)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e))
(-.f64 (/.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v))))) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v))))
(fma.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64) (*.f64 (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
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(*.f64 (*.f64 e (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v))
(*.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) e)
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(*.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 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(+.f64 e #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) e)
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (neg.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) e))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
(fma.f64 e #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) e #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (neg.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
(fma.f64 #s(literal -1 binary64) (neg.f64 e) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal -1 binary64)) (fma.f64 e e #s(literal -1 binary64))))
(/.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(/.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (neg.f64 (+.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e)))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (neg.f64 (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (+.f64 #s(literal -1 binary64) e))
(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (*.f64 (-.f64 #s(literal 1 binary64) e) (*.f64 e e))) (*.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (-.f64 (*.f64 e (*.f64 e e)) #s(literal 1 binary64)))) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e e)) (*.f64 e (*.f64 e e)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (fma.f64 e e #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (*.f64 e e)) e)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e e)) (-.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)))) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (-.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)))) (neg.f64 (+.f64 #s(literal -1 binary64) e)))
(/.f64 (neg.f64 (fma.f64 e e #s(literal -1 binary64))) (neg.f64 (+.f64 e #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (fma.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e))) (*.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e)))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)) (/.f64 (*.f64 e e) (-.f64 #s(literal 1 binary64) e))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 e #s(literal 1 binary64)))
(*.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) e)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))
(*.f64 (neg.f64 (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))
(*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 3 binary64)))
(pow.f64 v #s(literal 3 binary64))
(pow.f64 (*.f64 v v) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 v #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 3 binary64))
(*.f64 v (*.f64 v v))
(*.f64 (*.f64 v v) v)
(*.f64 (pow.f64 v #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3/2 binary64)))

simplify510.0ms (5.3%)

Memory
-20.6MiB live, 773.1MiB allocated
Algorithm
1×egg-herbie
Rules
17 838×lower-fma.f64
17 838×lower-fma.f32
5 816×lower-*.f64
5 816×lower-*.f32
3 554×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03182923
19822860
228492801
377782789
084622610
Stop Event
1×iter limit
1×node limit
Counts
324 → 319
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)))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* -1/6 (* e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ v (* (pow v 3) (- (* 1/120 (pow v 2)) 1/6))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(* 1/120 (* e (pow v 5)))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* 1/120 (pow v 5))
(* (pow v 5) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 5) (- (+ 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 5))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) 1/120)))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
(* -1 (* (pow v 5) (- (* 1/6 (/ 1 (pow v 2))) (+ 1/120 (/ 1 (pow v 4))))))
-1/6
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(- (* 1/120 (pow v 2)) 1/6)
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 (pow v 2))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* (pow v 2) (- 1/120 (* 1/6 (/ 1 (pow v 2)))))
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* 1/120 v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* e (- (* e (sin v)) (sin v)))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (sin v))) (* -1 (sin v)))) (sin v)))))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(- (+ (sin v) (/ (sin v) (pow e 2))) (/ (sin v) e))
(- (+ (sin v) (* -1 (/ (sin v) (pow e 3)))) (+ (* -1 (/ (sin v) (pow e 2))) (/ (sin v) e)))
(sin v)
(+ (sin v) (* -1 (/ (sin v) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e)))
(+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (+ (sin v) (* -1 (/ (sin v) e))) e))) e)))
(/ (* e v) (+ 1 e))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(/ (* e (sin v)) (+ 1 e))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
1
(+ 1 (* -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)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
Outputs
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 e e) #s(literal 1/2 binary64))) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 e (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (/.f64 (*.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) #s(literal 1/24 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 (/.f64 (*.f64 e (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 e e)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(*.f64 e (fma.f64 e (neg.f64 (*.f64 e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))) (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (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 (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 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (fma.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 e (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.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))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -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))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 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 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
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(-.f64 (*.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))) (neg.f64 (*.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1/6 (/ (* e (pow v 2)) (+ 1 e))) (/ e (+ 1 e))))
(*.f64 v (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* 1/120 (/ (* e (pow v 2)) (+ 1 e))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (+ (* -1/5040 (/ (* e (pow v 2)) (+ 1 e))) (* 1/120 (/ e (+ 1 e))))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(*.f64 v (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 (*.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 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 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 v (*.f64 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)
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))
(pow v 3)
(*.f64 v (*.f64 v v))

eval179.0ms (1.9%)

Memory
7.5MiB live, 158.1MiB allocated
Compiler

Compiled 22 293 to 2 156 computations (90.3% saved)

prune126.0ms (1.3%)

Memory
17.8MiB live, 291.9MiB allocated
Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New95323976
Fresh51318
Picked145
Done044
Total959441 003
Accuracy
100.0%
Counts
1 003 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.1%
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
7.9%
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
60.7%
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e (neg.f64 e))) e)
32.9%
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓98.4%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
98.4%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
✓47.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.3%
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v)))))
▶96.5%
(/.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)))
98.1%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) (sin.f64 v)))
46.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
99.0%
(/.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)))))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
2.5%
(-.f64 v (/.f64 v e))
67.3%
(*.f64 (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
98.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
99.2%
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
18.9%
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
66.0%
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
✓98.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.4%
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
98.1%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))
47.0%
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
▶45.1%
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
45.1%
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
46.8%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
45.1%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
✓45.1%
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
19.1%
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
▶45.0%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
▶46.0%
(*.f64 v (-.f64 e (*.f64 e e)))
23.7%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
45.1%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓44.9%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
46.5%
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
46.3%
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
45.1%
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
98.3%
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
23.7%
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
✓96.7%
(*.f64 e (sin.f64 v))
✓45.3%
(*.f64 e v)
6.0%
(sin.f64 v)
Compiler

Compiled 1 274 to 719 computations (43.6% saved)

simplify190.0ms (2%)

Memory
17.7MiB live, 134.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) e)
✓cost-diff0
(sin.f64 v)
✓cost-diff1088
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
✓cost-diff0
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
✓cost-diff0
(*.f64 v #s(literal -1/6 binary64))
✓cost-diff0
(*.f64 (*.f64 v #s(literal -1/6 binary64)) e)
✓cost-diff0
(fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)
✓cost-diff0
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
✓cost-diff0
(*.f64 e e)
✓cost-diff0
(-.f64 e (*.f64 e e))
✓cost-diff0
(*.f64 v (-.f64 e (*.f64 e e)))
✓cost-diff0
(cos.f64 v)
✓cost-diff0
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓cost-diff0
(sin.f64 v)
✓cost-diff0
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Rules
1 888×lower-fma.f32
1 884×lower-fma.f64
1 272×lower-*.f32
1 258×lower-*.f64
674×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023141
044133
185131
2145131
3280129
4492129
5722129
6962129
71333129
82265129
93206129
103655129
113830129
123899129
133914129
143928129
153936129
163956129
173964129
183964129
193964129
03964127
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(*.f64 v (-.f64 e (*.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
v
(fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)
(*.f64 (*.f64 v #s(literal -1/6 binary64)) e)
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
e
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
v
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
(*.f64 (*.f64 v e) #s(literal -1/6 binary64))
(*.f64 v e)
e
#s(literal -1/6 binary64)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
Outputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
v
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(*.f64 v (-.f64 e (*.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e))
v
(fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)
(fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e)
(*.f64 (*.f64 v #s(literal -1/6 binary64)) e)
(*.f64 e (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
e
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e))
v
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
(fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e))
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
(fma.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))) e)
(*.f64 (*.f64 v e) #s(literal -1/6 binary64))
(*.f64 e (*.f64 v #s(literal -1/6 binary64)))
(*.f64 v e)
e
#s(literal -1/6 binary64)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (sin.f64 v) e)
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e

localize105.0ms (1.1%)

Memory
-2.0MiB live, 201.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
✓accuracy100.0%
(sin.f64 v)
✓accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.8%
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
✓accuracy99.5%
(*.f64 (*.f64 v e) #s(literal -1/6 binary64))
✓accuracy99.9%
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
✓accuracy99.8%
(fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)
✓accuracy99.7%
(*.f64 (*.f64 v #s(literal -1/6 binary64)) e)
✓accuracy99.3%
(*.f64 v #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 e e)
✓accuracy100.0%
(-.f64 e (*.f64 e e))
✓accuracy100.0%
(*.f64 v (-.f64 e (*.f64 e e)))
✓accuracy100.0%
(sin.f64 v)
✓accuracy100.0%
(cos.f64 v)
✓accuracy100.0%
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
✓accuracy99.6%
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
Samples
73.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 149 to 27 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 15.0ms (25.7% of total)
ival-div: 13.0ms (22.3% of total)
ival-sin: 10.0ms (17.2% of total)
const: 9.0ms (15.4% of total)
ival-cos: 5.0ms (8.6% of total)
ival-add: 3.0ms (5.1% of total)
ival-sub: 1.0ms (1.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-1.0MiB live, 38.0MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))>
#<alt (sin.f64 v)>
#<alt (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))>
#<alt (cos.f64 v)>
#<alt (*.f64 v (-.f64 e (*.f64 e e)))>
#<alt (-.f64 e (*.f64 e e))>
#<alt (*.f64 e e)>
#<alt (*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))>
#<alt (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)>
#<alt (*.f64 (*.f64 v #s(literal -1/6 binary64)) e)>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))>
#<alt (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))>
#<alt (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)>
#<alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))>
#<alt (/.f64 #s(literal 1 binary64) e)>
#<alt (*.f64 (*.f64 v e) #s(literal -1/6 binary64))>
Outputs
#<alt (/ v (+ 1 (/ 1 e)))>
#<alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (/ (sin v) (+ (cos v) (/ 1 e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (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)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v)))>
#<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 (/ 1 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 (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<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>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* -1 (* (pow e 2) v))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt (* (pow e 2) (+ (* -1 v) (/ v e)))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (* (pow e 2) (- (/ 1 e) 1))>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<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>
#<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 (* 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 (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<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 (* 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 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 (/ 1 e)>
#<alt (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))>
#<alt (+ (* (pow v 2) (+ (* 1/36 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e))>
#<alt (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 1/216 (/ (pow v 2) e)) (* 1/36 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e))>
#<alt (/ -6 (* e (pow v 2)))>
#<alt (* -1 (/ (+ (* 6 (/ 1 e)) (* 36 (/ 1 (* e (pow v 2))))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 e)) (* 216 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 6 (/ 1 e))) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 e)) (* 1296 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 6 (/ 1 e)) (/ 36 (* e (pow v 2))))) (pow v 2))>
#<alt (/ -6 (* e (pow v 2)))>
#<alt (* -1 (/ (+ (* 6 (/ 1 e)) (* 36 (/ 1 (* e (pow v 2))))) (pow v 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 e)) (* 216 (/ 1 (* e (pow v 2))))) (pow v 2))) (* 6 (/ 1 e))) (pow v 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 e)) (* 1296 (/ 1 (* e (pow v 2))))) (pow v 4))) (+ (* 6 (/ 1 e)) (/ 36 (* e (pow v 2))))) (pow v 2))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* e (+ 1 (* -1/6 (pow v 2)))))>
#<alt (/ 1 (* 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 (* 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 v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (/ 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 (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
#<alt (* -1/6 (* e v))>
Calls

90 calls:

TimeVariablePointExpression
12.0ms
v
@0
(/ (sin v) (+ (cos v) (/ 1 e)))
1.0ms
v
@inf
(/ (sin v) (+ (cos v) (/ 1 e)))
1.0ms
v
@-inf
(/ (sin v) (+ (cos v) (/ 1 e)))
0.0ms
e
@-inf
(/ 1 (+ (* v (* (* v e) -1/6)) e))
0.0ms
e
@0
(/ 1 (+ (* v (* (* v e) -1/6)) e))

rewrite391.0ms (4.1%)

Memory
22.3MiB live, 708.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 850×lower-fma.f32
8 846×lower-fma.f64
5 588×lower-*.f32
5 574×lower-*.f64
3 524×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023118
044110
1163108
21032108
08264108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 220
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(sin.f64 v)
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
(*.f64 e e)
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e)
(*.f64 (*.f64 v #s(literal -1/6 binary64)) e)
(*.f64 v #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))
(fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e)
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(*.f64 (*.f64 v e) #s(literal -1/6 binary64))
Outputs
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (cos.f64 v)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 #s(literal -1 binary64) e)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))))
(+.f64 (*.f64 (cos.f64 v) (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))))) (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(fma.f64 (cos.f64 v) (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (*.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (cos.f64 v) (*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 #s(literal -1 binary64) e)))
(neg.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) #s(literal -1 binary64))
(/.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(/.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e))) (fma.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (neg.f64 (sin.f64 v))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (+.f64 (pow.f64 (cos.f64 v) #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v)) e)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (-.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 (/.f64 #s(literal 1 binary64) e) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))))
(*.f64 (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))))
(*.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (*.f64 (sin.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (*.f64 e e))))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 e e)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 v) e)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e)) (neg.f64 (*.f64 (sin.f64 v) e)))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) e))
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(*.f64 (*.f64 e #s(literal -1/6 binary64)) v)
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simplify363.0ms (3.8%)

Memory
1.1MiB live, 686.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 580×lower-fma.f64
11 580×lower-fma.f32
5 118×lower-*.f64
5 118×lower-*.f32
2 734×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02703079
18272958
223142916
359982915
083122748
Stop Event
1×iter limit
1×node limit
Counts
360 → 355
Calls
Call 1
Inputs
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(* e (sin v))
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(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
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(* e (sin v))
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(/ 1 e)
(/ 1 e)
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Outputs
(/ v (+ 1 (/ 1 e)))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
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(/.f64 #s(literal 1 binary64) e)
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))
(* -1/6 (* e v))
(*.f64 #s(literal -1/6 binary64) (*.f64 v e))

eval190.0ms (2%)

Memory
19.1MiB live, 316.7MiB allocated
Compiler

Compiled 41 791 to 2 823 computations (93.2% saved)

prune182.0ms (1.9%)

Memory
-20.8MiB live, 350.0MiB allocated
Pruning

47 alts after pruning (37 fresh and 10 done)

PrunedKeptTotal
New1 606231 629
Fresh171431
Picked235
Done178
Total1 626471 673
Accuracy
100.0%
Counts
1 673 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.1%
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
45.0%
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
96.2%
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
15.7%
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
35.6%
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
✓98.4%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
98.4%
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
✓47.0%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
96.2%
(/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓96.5%
(/.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)))
46.9%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
46.9%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
96.4%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
96.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
95.9%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
46.0%
(*.f64 (fma.f64 e (neg.f64 e) e) v)
65.6%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
18.4%
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
96.1%
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))))
✓99.8%
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
98.4%
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
46.0%
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
46.0%
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
✓98.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
97.4%
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
98.1%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))
47.0%
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
✓45.1%
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
39.8%
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
46.8%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
45.3%
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
46.8%
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
45.1%
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
46.0%
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
23.7%
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
25.3%
(*.f64 v (*.f64 e (neg.f64 e)))
45.1%
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
✓44.9%
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
46.3%
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
45.1%
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
98.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
✓96.7%
(*.f64 e (sin.f64 v))
✓45.3%
(*.f64 e v)
6.0%
(sin.f64 v)
Compiler

Compiled 1 791 to 663 computations (63% saved)

regimes162.0ms (1.7%)

Memory
-6.8MiB live, 70.3MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(/.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 e (/.f64 (+.f64 e #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) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.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 (sin.f64 v) (*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 e (neg.f64 e))) 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 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(*.f64 (*.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 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))))
(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 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 e (cos.f64 v)))))
(*.f64 (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e) (*.f64 (*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (*.f64 e e) e)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal -2 binary64)) (pow.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 2 binary64))) (+.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))))))))
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
Calls

3 calls:

99.0ms
e
40.0ms
v
20.0ms
(/.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)

regimes67.0ms (0.7%)

Memory
11.3MiB live, 49.7MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(/.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 e (/.f64 (+.f64 e #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) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 e (sin.f64 v)) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

34.0ms
e
15.0ms
v
15.0ms
(/.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)

regimes51.0ms (0.5%)

Memory
2.2MiB live, 43.3MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
Outputs
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
Calls

3 calls:

24.0ms
v
13.0ms
e
12.0ms
(/.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)

regimes52.0ms (0.5%)

Memory
2.4MiB live, 41.1MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(*.f64 (sin.f64 v) (fma.f64 e (neg.f64 e) e))
Outputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Calls

3 calls:

25.0ms
e
12.0ms
v
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
97.4%1v
97.4%1e
97.4%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)

regimes55.0ms (0.6%)

Memory
3.5MiB live, 42.1MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 e (sin.f64 v))
Outputs
(*.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 (sin.f64 v))
Calls

3 calls:

29.0ms
v
12.0ms
e
12.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
96.7%1e
98.4%2v
96.7%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.5%)

Memory
3.1MiB live, 41.7MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 (*.f64 v e) (*.f64 v e)) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (*.f64 v e) (*.f64 (*.f64 v e) (*.f64 v (*.f64 v #s(literal -1/6 binary64))))))
(sin.f64 v)
(*.f64 v (fma.f64 (*.f64 v (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64))))) (/.f64 (*.f64 e (*.f64 v #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 e e) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 v (/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 e (*.f64 e e))) (fma.f64 e e (*.f64 (*.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64))) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
Outputs
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
Calls

3 calls:

25.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
12.0ms
e
Results
AccuracySegmentsBranch
47.0%1e
47.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
48.9%2v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e 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))))
Outputs
(*.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 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
Calls

1 calls:

11.0ms
v
Results
AccuracySegmentsBranch
48.7%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes81.0ms (0.8%)

Memory
-33.6MiB live, 52.0MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 v (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 v (*.f64 e (*.f64 (*.f64 v v) #s(literal -1/6 binary64))))
(*.f64 e (fma.f64 #s(literal -1/6 binary64) (*.f64 v (*.f64 v v)) v))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 e (*.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e))
(*.f64 v (fma.f64 (*.f64 v (*.f64 v e)) #s(literal -1/6 binary64) e))
(*.f64 v (fma.f64 (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) v e))
(*.f64 v (+.f64 (*.f64 v (*.f64 e (*.f64 v #s(literal -1/6 binary64)))) e))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (neg.f64 v) (*.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) e))))
(fma.f64 (*.f64 v v) (*.f64 (*.f64 v #s(literal -1/6 binary64)) e) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 e (fma.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 (*.f64 v (*.f64 v v)) (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (*.f64 v v))))
(/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e e e))
(*.f64 e (fma.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 v (*.f64 v v)) v))
(*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 (*.f64 v e) #s(literal -1/6 binary64)) e))))
(*.f64 v (*.f64 (fma.f64 e e e) (*.f64 (fma.f64 e (neg.f64 e) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))))
(*.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)) (*.f64 e (*.f64 e #s(literal 1/2 binary64)))) e)))
(/.f64 (fma.f64 (*.f64 v v) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (*.f64 v (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (fma.f64 e (neg.f64 e) e))
(/.f64 (*.f64 (*.f64 e (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) #s(literal 1/36 binary64))) e (neg.f64 e))) v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 v (*.f64 (*.f64 e e) (-.f64 e (*.f64 e (*.f64 e (*.f64 e e)))))) (fma.f64 e e (*.f64 e (*.f64 e (fma.f64 e e e)))))
Outputs
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

48.0ms
v
21.0ms
e
10.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
47.0%1e
47.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
47.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes30.0ms (0.3%)

Memory
-4.9MiB live, 33.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
Outputs
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
Calls

3 calls:

3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
v
3.0ms
e
Results
AccuracySegmentsBranch
46.3%1e
46.3%1v
46.3%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)

regimes9.0ms (0.1%)

Memory
30.7MiB live, 30.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 e)) (*.f64 v e))
Outputs
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
Calls

3 calls:

3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
3.0ms
e
Results
AccuracySegmentsBranch
46.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
46.0%1e
46.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (0.4%)

Memory
-18.7MiB live, 19.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 (fma.f64 e (neg.f64 e) e) v)
(-.f64 v (/.f64 v e))
Outputs
(*.f64 v (-.f64 e (*.f64 e e)))
Calls

3 calls:

32.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
46.0%1e
46.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
46.0%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Accuracy

Total -13.8b remaining (-39.6%)

Threshold costs -13.8b (-39.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 v (*.f64 e (neg.f64 e)))
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))))
1.0ms
v
1.0ms
e
Results
AccuracySegmentsBranch
45.3%1e
45.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
45.3%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch13.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.0002598833244464752
0.004547491875142957
Samples
7.0ms112×0valid
Compiler

Compiled 261 to 140 computations (46.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (20.8% of total)
ival-add: 1.0ms (20.8% of total)
ival-cos: 1.0ms (20.8% of total)
ival-mult: 1.0ms (20.8% of total)
ival-sin: 1.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Memory
-18.2MiB live, 25.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
3.9449496151251333
510.8341992197396
Samples
42.0ms112×0valid
Compiler

Compiled 394 to 224 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-cos: 33.0ms (83.2% of total)
ival-sin: 4.0ms (10.1% of total)
ival-div: 1.0ms (2.5% of total)
ival-mult: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
3.9449496151251333
510.8341992197396
Compiler

Compiled 331 to 182 computations (45% saved)

simplify9.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
14×+-commutative_binary64
10×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059196
196196
2105196
3110196
4112196
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(if (<=.f64 v #s(literal 3504881374004815/9223372036854775808 binary64)) (*.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 (sin.f64 v)))
(if (<=.f64 v #s(literal 100 binary64)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(if (<=.f64 v #s(literal 100 binary64)) (*.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 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e v)
Outputs
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(if (<=.f64 v #s(literal 3504881374004815/9223372036854775808 binary64)) (*.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 (sin.f64 v)))
(if (<=.f64 v #s(literal 3504881374004815/9223372036854775808 binary64)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (*.f64 e (sin.f64 v)))
(if (<=.f64 v #s(literal 100 binary64)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) (*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(if (<=.f64 v #s(literal 100 binary64)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 e (*.f64 v v)) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(if (<=.f64 v #s(literal 100 binary64)) (*.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 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(if (<=.f64 v #s(literal 100 binary64)) (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64))))) (*.f64 v (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 (*.f64 v (+.f64 #s(literal 1 binary64) (neg.f64 e))) e)
(*.f64 e (*.f64 v (-.f64 #s(literal 1 binary64) e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 e v)

soundness1.6s (16.9%)

Memory
-23.6MiB live, 1 156.4MiB allocated
Rules
17 838×lower-fma.f64
17 838×lower-fma.f32
14 120×lower-fma.f64
14 120×lower-fma.f32
11 580×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
03182923
19822860
228492801
377782789
084622610
024112
047106
1166106
21074105
08559104
02703079
18272958
223142916
359982915
083122748
04264060
113533918
241833877
085553692
0929
01529
14229
224129
3209729
0837027
023118
044110
1163108
21032108
08264108
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 486 to 235 computations (51.6% saved)

preprocess119.0ms (1.2%)

Memory
-23.4MiB live, 172.9MiB allocated
Remove

(negabs v)

Compiler

Compiled 542 to 210 computations (61.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...