Trigonometry A

Time bar (total: 10.0s)

analyze8.0ms (0.1%)

Memory
-29.3MiB live, 9.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (16.3%)

Memory
45.0MiB live, 1 525.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 859.0ms
ival-cos: 276.0ms (32.1% of total)
ival-sin: 275.0ms (32% of total)
ival-mult: 124.0ms (14.4% of total)
ival-div: 74.0ms (8.6% of total)
ival-<=: 44.0ms (5.1% of total)
ival-add: 39.0ms (4.5% of total)
ival-and: 13.0ms (1.5% of total)
exact: 10.0ms (1.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess80.0ms (0.8%)

Memory
1.6MiB live, 47.8MiB allocated
Algorithm
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
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
Symmetry

(negabs v)

explain149.0ms (1.5%)

Memory
21.2MiB live, 138.1MiB 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
55.0ms512×0valid
Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 17.0ms (43.3% of total)
ival-cos: 10.0ms (25.4% of total)
ival-mult: 6.0ms (15.3% of total)
ival-div: 3.0ms (7.6% of total)
ival-add: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

simplify9.0ms (0.1%)

Memory
-29.5MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize34.0ms (0.3%)

Memory
32.3MiB live, 32.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy100.0%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
accuracy99.8%
(*.f64 e (sin.f64 v))
accuracy99.8%
(*.f64 e (cos.f64 v))
Samples
23.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 5.0ms (32.4% of total)
ival-cos: 4.0ms (25.9% of total)
ival-mult: 3.0ms (19.4% of total)
ival-div: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory
-30.0MiB live, 8.1MiB 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
39.0ms
v
@-inf
(+ 1 (* e (cos v)))
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))

rewrite410.0ms (4.1%)

Memory
26.0MiB live, 510.6MiB allocated
Algorithm
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
iter limit
node limit
iter limit
Counts
6 → 347
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)
Outputs
(+.f64 #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))

simplify383.0ms (3.8%)

Memory
2.8MiB live, 673.5MiB allocated
Algorithm
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
iter limit
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)

eval59.0ms (0.6%)

Memory
-1.0MiB live, 152.7MiB allocated
Compiler

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

prune62.0ms (0.6%)

Memory
-10.7MiB live, 156.4MiB 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
74.2%
(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))
24.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.2%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
55.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
99.7%
(*.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))))
99.3%
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
54.8%
(*.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))))
98.1%
(*.f64 e (sin.f64 v))
Compiler

Compiled 340 to 210 computations (38.2% saved)

simplify465.0ms (4.6%)

Memory
-6.2MiB live, 629.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 v)
cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
cost-diff0
(cos.f64 v)
cost-diff0
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(+.f64 #s(literal 1 binary64) e)
cost-diff0
(*.f64 e v)
cost-diff0
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
cost-diff0
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 e (sin.f64 v))
cost-diff0
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Rules
12 712×lower-fma.f32
12 706×lower-fma.f64
2 800×lower-/.f32
2 792×lower-/.f64
2 664×lower-*.f32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
018119
036117
169117
2119117
3259117
4516117
5687117
6902117
71216117
81612117
92681114
103970114
114733114
125096114
135287114
145341114
155361114
166008114
176737114
187172114
197297114
207331114
217349114
227369114
237521114
247525114
257525114
08887114
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(literal 1 binary64)
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)

localize78.0ms (0.8%)

Memory
6.1MiB live, 203.3MiB allocated
Localize:

Found 17 expressions of interest:

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

Compiled 128 to 23 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 10.0ms (29.4% of total)
ival-div: 6.0ms (17.7% of total)
ival-sin: 6.0ms (17.7% of total)
ival-cos: 5.0ms (14.7% of total)
ival-add: 4.0ms (11.8% of total)
ival-neg: 2.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
4.2MiB live, 44.5MiB allocated
Counts
14 → 288
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))>
#<alt (*.f64 e v)>
#<alt (+.f64 #s(literal 1 binary64) e)>
#<alt (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))>
#<alt (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)>
#<alt (cos.f64 v)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (neg.f64 e)>
Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* v (+ e (* -1 (pow e 2))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))>
#<alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (+ e (* -1 (pow e 2)))>
#<alt (+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))>
#<alt (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt (+ e (* -1 (* (pow e 2) (cos v))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
#<alt (* -1 e)>
Calls

72 calls:

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

rewrite373.0ms (3.7%)

Memory
2.0MiB live, 682.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 802×lower-fma.f32
6 796×lower-fma.f64
5 162×lower-*.f32
5 154×lower-*.f64
3 738×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01884
03682
114382
277382
3754482
0864782
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 069
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(neg.f64 e)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))))
(+.f64 (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 e (cos.f64 v))) (*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 (*.f64 e (cos.f64 v)) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (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 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (*.f64 e e) (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 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (-.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(+.f64 (neg.f64 e) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) e) (/.f64 (*.f64 e e) e))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 e e)) (/.f64 (*.f64 e (*.f64 e e)) (*.f64 e e)))
(fma.f64 e #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 e (/.f64 (neg.f64 e) e) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 e) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 e) (/.f64 e e) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) e #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)) #s(literal 0 binary64))
(neg.f64 e)
(neg.f64 (/.f64 (*.f64 e e) e))
(/.f64 #s(literal 1 binary64) (/.f64 e (neg.f64 (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 e e) (neg.f64 (*.f64 e (*.f64 e e)))))
(/.f64 (neg.f64 (*.f64 e e)) e)
(/.f64 (neg.f64 (*.f64 e e)) (-.f64 #s(literal 0 binary64) (neg.f64 e)))
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (*.f64 e e))
(/.f64 (neg.f64 (*.f64 e (*.f64 e e))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 e e) (*.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 e (*.f64 e e)))) (neg.f64 (*.f64 e e)))
(*.f64 e #s(literal -1 binary64))
(*.f64 e (/.f64 (neg.f64 e) e))
(*.f64 #s(literal 1 binary64) (neg.f64 e))
(*.f64 (neg.f64 e) #s(literal 1 binary64))
(*.f64 (neg.f64 e) (/.f64 e e))
(*.f64 (neg.f64 (*.f64 e e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 e e) e))
(*.f64 (neg.f64 (*.f64 e (*.f64 e e))) (/.f64 #s(literal 1 binary64) (*.f64 e e)))

simplify452.0ms (4.5%)

Memory
8.4MiB live, 634.4MiB allocated
Algorithm
egg-herbie
Rules
14 218×lower-fma.f64
14 218×lower-fma.f32
6 624×lower-*.f64
6 624×lower-*.f32
5 728×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03503281
111143148
233843046
086632879
Stop Event
iter limit
node limit
Counts
288 → 282
Calls
Call 1
Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(+ 1 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 (* 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))))
(* 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))
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(* e v)
(* e v)
(* e v)
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1
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(+ 1 e)
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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)))
(* 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)))
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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)))
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(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
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(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
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(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
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(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
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(* e (cos v))
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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))
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(/.f64 (sin.f64 v) (cos.f64 v))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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(/ (* e v) (+ 1 e))
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(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(* e (sin v))
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(* e v)
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(* v (+ e (* -1/6 (* e (pow v 2)))))
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(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
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(* e (sin v))
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(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/720 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) (*.f64 v (neg.f64 v)) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
1
#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 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 e (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 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))
(* -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)

eval471.0ms (4.7%)

Memory
-222.6MiB live, 327.8MiB allocated
Compiler

Compiled 31 985 to 2 759 computations (91.4% saved)

prune157.0ms (1.6%)

Memory
-11.3MiB live, 347.8MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 493221 515
Fresh426
Picked235
Done000
Total1 499271 526
Accuracy
100.0%
Counts
1 526 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
99.2%
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
55.1%
(/.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))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
55.0%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
98.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
2.6%
(-.f64 v (/.f64 v e))
74.8%
(*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))) (sin.f64 v)))
66.1%
(*.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
74.9%
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
98.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
99.3%
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
53.7%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
53.6%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
54.6%
(*.f64 v (-.f64 e (*.f64 e e)))
53.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
53.7%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
54.8%
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
98.1%
(*.f64 e (sin.f64 v))
54.0%
(*.f64 e v)
Compiler

Compiled 779 to 472 computations (39.4% saved)

simplify178.0ms (1.8%)

Memory
-8.0MiB live, 275.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff704
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
(*.f64 e e)
cost-diff0
(-.f64 e (*.f64 e e))
cost-diff0
(sin.f64 v)
cost-diff0
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
cost-diff0
(+.f64 e #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
cost-diff384
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
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
3 990×lower-fma.f32
3 988×lower-fma.f64
3 132×lower-*.f32
3 124×lower-*.f64
2 092×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019121
036117
159115
297115
3180115
4399111
5856111
61463111
72650111
85459111
08153111
Stop Event
iter limit
node limit
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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
e
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(sin.f64 v)
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(sin.f64 v)
(/.f64 #s(literal 1 binary64) e)
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 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))
(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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
e
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
v
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(sin.f64 v)
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(sin.f64 v)
(/.f64 #s(literal 1 binary64) e)

localize82.0ms (0.8%)

Memory
37.1MiB live, 150.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 v)
accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy99.6%
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
accuracy98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
accuracy100.0%
(-.f64 e (*.f64 e e))
accuracy100.0%
(*.f64 e e)
accuracy100.0%
(sin.f64 v)
accuracy99.8%
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
accuracy100.0%
(+.f64 e #s(literal 1 binary64))
accuracy100.0%
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
accuracy99.6%
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
accuracy100.0%
(*.f64 e v)
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(cos.f64 v)
accuracy100.0%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
accuracy99.6%
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
Samples
50.0ms256×0valid
Compiler

Compiled 130 to 22 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 13.0ms (36.2% of total)
ival-mult: 9.0ms (25.1% of total)
ival-sin: 6.0ms (16.7% of total)
ival-cos: 5.0ms (13.9% of total)
ival-add: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-11.8MiB live, 27.0MiB allocated
Counts
15 → 300
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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))>
#<alt (/.f64 (+.f64 e #s(literal 1 binary64)) v)>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))>
#<alt (-.f64 e (*.f64 e e))>
#<alt (*.f64 e e)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))>
#<alt (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (cos.f64 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 (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt 1>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt (+ 1 e)>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt e>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* e (+ 1 (/ 1 e)))>
#<alt (* v (- e (pow e 2)))>
#<alt (* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin 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 (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (cos v) (sin v))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ (+ 1 (* e (cos v))) (* e (sin v)))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* -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

75 calls:

TimeVariablePointExpression
2.0ms
v
@-inf
(/ (+ e 1) v)
1.0ms
v
@0
(/ (+ (* e (cos v)) 1) (sin v))
0.0ms
v
@-inf
(/ (+ (* e (cos v)) 1) (sin v))
0.0ms
v
@inf
(/ (+ (* e (cos v)) 1) (sin v))
0.0ms
v
@0
(* (sin v) (- e (* e e)))

rewrite299.0ms (3%)

Memory
-20.9MiB live, 543.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 042×lower-*.f32
5 034×lower-*.f64
4 958×lower-fma.f32
4 956×lower-fma.f64
4 924×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01994
03688
113788
289988
0844788
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 288
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 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(+.f64 e #s(literal 1 binary64))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
(*.f64 e e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(cos.f64 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 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.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 e (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.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 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) e))
(/.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #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 (*.f64 (sin.f64 v) e) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.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 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #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 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #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 (neg.f64 (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) #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 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (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 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) (sin.f64 v)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.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 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.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) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #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 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 v) 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 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (*.f64 e (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.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 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 e #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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 e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) (*.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))) (sin.f64 v)) (-.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (sin.f64 v)) (+.f64 (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (*.f64 e e) e) #s(literal 1 binary64)))
(cos.f64 v)
(*.f64 (cos.f64 v) #s(literal 1 binary64))

simplify514.0ms (5.1%)

Memory
15.1MiB live, 482.5MiB allocated
Algorithm
egg-herbie
Rules
12 802×lower-fma.f64
12 802×lower-fma.f32
6 034×lower-+.f64
6 034×lower-+.f32
5 844×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03503332
110453250
229903188
082482988
Stop Event
iter limit
node limit
Counts
300 → 294
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)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 v)
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 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)))
(* v (- e (pow e 2)))
(* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))
(* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* (sin v) (- e (pow e 2)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* e (+ (sin v) (* -1 (* e (sin v)))))
(* -1 (* (pow e 2) (sin v)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* -1 (* (pow e 2) (sin v)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (* e (sin v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (cos v) (sin v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(/ (+ 1 e) (* e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 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)))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 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
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
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(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (-.f64 (*.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -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 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 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)

eval401.0ms (4%)

Memory
28.0MiB live, 259.3MiB allocated
Compiler

Compiled 38 137 to 4 008 computations (89.5% saved)

prune316.0ms (3.2%)

Memory
9.0MiB live, 288.4MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1 739171 756
Fresh91019
Picked415
Done033
Total1 752311 783
Accuracy
100.0%
Counts
1 783 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
55.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
53.8%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
53.9%
(/.f64 e (/.f64 #s(literal 1 binary64) v))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
54.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))))
55.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
54.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
96.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
2.6%
(-.f64 v (/.f64 v e))
98.6%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
65.6%
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
74.3%
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
36.0%
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e))))
53.7%
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
53.6%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
54.6%
(*.f64 v (-.f64 e (*.f64 e e)))
54.4%
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
53.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
54.8%
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
53.7%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
98.1%
(*.f64 e (sin.f64 v))
54.0%
(*.f64 e v)
Compiler

Compiled 890 to 529 computations (40.6% saved)

simplify272.0ms (2.7%)

Memory
-8.7MiB live, 353.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 v)
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 v))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
cost-diff0
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
cost-diff384
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
cost-diff704
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
cost-diff0
(/.f64 #s(literal 1 binary64) e)
cost-diff1088
(/.f64 v (/.f64 #s(literal 1 binary64) 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
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff384
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
Rules
9 698×lower-fma.f32
9 690×lower-fma.f64
2 924×lower-*.f32
2 914×lower-*.f64
2 138×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026199
051191
1100173
2244171
3656171
41738171
54169171
65053171
75951171
08340165
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
(*.f64 v (-.f64 e (*.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(/.f64 v (/.f64 #s(literal 1 binary64) e))
v
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
e
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) e)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin.f64 v)
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
Outputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
(*.f64 v (-.f64 e (*.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(*.f64 e v)
v
(/.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (*.f64 e v))
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
e
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 v v)
v
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1 binary64) e)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(sin.f64 v)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin.f64 v)
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)

localize104.0ms (1%)

Memory
12.3MiB live, 169.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 v)
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 v))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
accuracy99.9%
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
accuracy99.7%
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))
accuracy98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
accuracy75.4%
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
accuracy100.0%
(/.f64 #s(literal 1 binary64) e)
accuracy99.7%
(/.f64 v (/.f64 #s(literal 1 binary64) e))
accuracy100.0%
(-.f64 e (*.f64 e e))
accuracy100.0%
(*.f64 e e)
accuracy100.0%
(*.f64 v (-.f64 e (*.f64 e e)))
accuracy100.0%
(sin.f64 v)
accuracy100.0%
(cos.f64 v)
accuracy99.8%
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy99.6%
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
Samples
65.0ms256×0valid
Compiler

Compiled 222 to 32 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 14.0ms (29.2% of total)
ival-mult: 13.0ms (27.1% of total)
ival-cos: 6.0ms (12.5% of total)
ival-add: 5.0ms (10.4% of total)
ival-sin: 5.0ms (10.4% of total)
const: 4.0ms (8.3% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-28.0MiB live, 49.4MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt (*.f64 v (-.f64 e (*.f64 e e)))>
#<alt (-.f64 e (*.f64 e e))>
#<alt (*.f64 e e)>
#<alt (/.f64 v (/.f64 #s(literal 1 binary64) e))>
#<alt (/.f64 #s(literal 1 binary64) e)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))>
#<alt (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))>
#<alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))>
#<alt (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 v))>
#<alt (sin.f64 v)>
#<alt (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #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 (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<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 (* 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 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ 1 e)>
#<alt (/ (* e v) (+ 1 (* 1/6 (pow v 2))))>
#<alt (* e (+ (* -1 (/ (* e (* v (+ 1 (* -1/3 (pow v 2))))) (pow (+ 1 (* 1/6 (pow v 2))) 2))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 2))) (pow (+ 1 (* 1/6 (pow v 2))) 3)) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (* e (+ (* e (- (* e (- (* -1 (/ (* e (* v (pow (+ 1 (* -1/3 (pow v 2))) 3))) (pow (+ 1 (* 1/6 (pow v 2))) 4))) (* -1 (/ (* v (pow (+ 1 (* -1/3 (pow v 2))) 2)) (pow (+ 1 (* 1/6 (pow v 2))) 3))))) (/ (* v (+ 1 (* -1/3 (pow v 2)))) (pow (+ 1 (* 1/6 (pow v 2))) 2)))) (/ v (+ 1 (* 1/6 (pow v 2))))))>
#<alt (/ v (+ 1 (* -1/3 (pow v 2))))>
#<alt (+ (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))) (/ v (+ 1 (* -1/3 (pow v 2)))))>
#<alt (- (+ (/ v (+ 1 (* -1/3 (pow v 2)))) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2))))>
#<alt (- (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* (pow e 3) (pow (+ 1 (* -1/3 (pow v 2))) 4)))) (/ v (+ 1 (* -1/3 (pow v 2))))) (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* (pow e 2) (pow (+ 1 (* -1/3 (pow v 2))) 3)))) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (+ 1 (* -1/3 (pow v 2))) 2)))))>
#<alt (* -1 (/ v (- (* 1/3 (pow v 2)) 1)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (* v (+ 1 (* 1/6 (pow v 2)))) (* e (pow (- (* 1/3 (pow v 2)) 1) 2)))))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2)) (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (* e (pow (- (* 1/3 (pow v 2)) 1) 3)))) e)))>
#<alt (+ (* -1 (/ v (- (* 1/3 (pow v 2)) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 2)) (pow (- (* 1/3 (pow v 2)) 1) 3))) (* -1 (/ (* v (pow (+ 1 (* 1/6 (pow v 2))) 3)) (* e (pow (- (* 1/3 (pow v 2)) 1) 4))))) e)) (/ (* v (+ 1 (* 1/6 (pow v 2)))) (pow (- (* 1/3 (pow v 2)) 1) 2))) e)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* -1 (/ (* e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (pow (+ 1 e) 2))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (pow (+ 1 e) 3)) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (/ (* e (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3))) (pow (+ 1 e) 4))) (* -1 (/ (* e (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)) (pow (+ 1 e) 3))))) (/ (* e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (pow (+ 1 e) 2)))) (/ e (+ 1 e))))>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (/ (+ (* -1 (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) v)>
#<alt (/ (- (+ (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))) (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v)>
#<alt (/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))))) v))>
#<alt (* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (+ (* -1 (/ (* e (pow (+ 1 e) 2)) (* (pow v 4) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 3)))) (+ (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2))) (/ (* e (pow (+ 1 e) 3)) (* (pow v 6) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 4)))))) v))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) (* e v))>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)>
#<alt (/ (+ 1 (* -1/3 (pow v 2))) v)>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v)))))>
#<alt (* -1 (/ (- (* 1/3 (pow v 2)) 1) v))>
#<alt (+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v))))>
#<alt (+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v))))>
#<alt (+ (* -1 (/ (- (* 1/3 (pow v 2)) 1) v)) (+ (* 1/6 (/ v e)) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) (* e v))>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (+ 1 (+ (* (pow v 2) (- (* 1/6 (/ 1 e)) 1/3)) (/ 1 e))) v)>
#<alt (/ (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) e)>
#<alt (* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))))>
#<alt (* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))))>
#<alt (* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))))>
#<alt (/ (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) e)>
#<alt (* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (+ 1/6 (* -1/3 e))>
#<alt (* -1/3 e)>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* e (- (* 1/6 (/ 1 e)) 1/3))>
#<alt (* -1/3 e)>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (* -1 (* e (- 1/3 (* 1/6 (/ 1 e)))))>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))>
#<alt (/ (* e (+ 1 (* -1/3 (pow v 2)))) v)>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))>
#<alt (* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))>
#<alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt (* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))>
#<alt 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 (pow e 2)))>
#<alt (* v (- (+ e (* -1/6 (* (pow v 2) (- e (pow e 2))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* 1/120 (* (pow v 2) (- e (pow e 2))))))) (pow e 2)))>
#<alt (* v (- (+ e (* (pow v 2) (+ (* -1/6 (- e (pow e 2))) (* (pow v 2) (+ (* -1/5040 (* (pow v 2) (- e (pow e 2)))) (* 1/120 (- e (pow e 2)))))))) (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* (sin v) (- e (pow e 2)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* e (+ (sin v) (* -1 (* e (sin v)))))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (sin v)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (sin v)) (/ (sin v) e)))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (pow v 2))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* 7/360 (pow v 2))))) v)>
#<alt (/ (+ 1 (* (pow v 2) (+ 1/6 (* (pow v 2) (+ 7/360 (* 31/15120 (pow v 2))))))) v)>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt (/ 1 (sin v))>
#<alt 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 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (+ 1 (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))>
#<alt (+ 1 (* 1/6 (pow v 2)))>
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))>
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))>
#<alt (+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))>
#<alt (* -1/3 (* e (pow v 2)))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))>
#<alt (* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
v
@0
(* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e))
3.0ms
e
@0
(/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e)))
2.0ms
e
@inf
(/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e)))
1.0ms
v
@inf
(/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e)))
1.0ms
e
@-inf
(/ 1 (* (/ (+ e (+ (* (* v v) (+ (* e -1/2) (+ (* e 1/6) 1/6))) 1)) v) (/ 1 e)))

rewrite313.0ms (3.1%)

Memory
25.4MiB live, 578.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 920×lower-/.f32
4 904×lower-/.f64
4 662×lower-fma.f32
4 654×lower-fma.f64
4 086×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026149
051137
1226123
21791123
08560118
Stop Event
iter limit
node limit
iter limit
Counts
18 → 812
Calls
Call 1
Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
(*.f64 e e)
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e))
(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
(/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(sin.f64 v)
(fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (*.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (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))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 e))) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(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 #s(literal 1 binary64) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(*.f64 (neg.f64 (sin.f64 v)) (/.f64 (neg.f64 e) (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))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.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 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (sin.f64 v))
(*.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(*.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 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(*.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 e (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 e (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 e (+.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) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 (fma.f64 (*.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 e (+.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) (sin.f64 v))))
(*.f64 (/.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (sin.f64 v) #s(literal -1/2 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)))) (pow.f64 (sin.f64 v) #s(literal -1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))
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(/.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 e (*.f64 e e)) #s(literal -1/8 binary64)) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (pow.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (-.f64 (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (-.f64 (*.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 e (*.f64 #s(literal -1/2 binary64) (*.f64 v v)))) (*.f64 v (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))))
(*.f64 (fma.f64 v (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))))

simplify369.0ms (3.7%)

Memory
24.5MiB live, 532.2MiB allocated
Algorithm
egg-herbie
Rules
7 772×lower-fma.f64
7 772×lower-fma.f32
6 714×lower-*.f64
6 714×lower-*.f32
2 924×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05464296
116944127
255254089
083813776
Stop Event
iter limit
node limit
Counts
336 → 333
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))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 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)
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
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(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
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(/ e (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))
(* -1 (/ (+ (* -1 (/ e (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))) (/ (* e (+ 1 e)) (* (pow v 2) (pow (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) 2)))) v))
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(/ (+ 1 (* 1/6 (pow v 2))) (* e v))
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)
(/ (+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v))) e)
(/ (+ 1 (* -1/3 (pow v 2))) v)
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(/ (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) e)
(* v (+ -1/2 (+ 1/6 (+ (* 1/6 (/ 1 e)) (+ (/ 1 (* e (pow v 2))) (/ 1 (pow v 2)))))))
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(* -1 (* v (+ (* -1 (/ (+ 1/6 (+ (* -1/2 e) (* 1/6 e))) e)) (* -1 (/ (+ 1 (/ 1 e)) (pow v 2))))))
1/6
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(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
v
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v
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(sin v)
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1
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(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))
(* (pow v 2) (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (/ 1 (pow v 2))))))
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(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))
Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(*.f64 e (-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
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(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (*.f64 e e)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
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(/ (sin v) (cos v))
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(+ (* -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)))))
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(-.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)))
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(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 e e) #s(literal -1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) e)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/3 (* e (pow v 2))) (* 1/6 (pow v 2))))
(fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64))
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64))
(* e (+ (* -1/3 (pow v 2)) (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e))))
(fma.f64 e (*.f64 (*.f64 v v) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) #s(literal 1 binary64))
(* -1/3 (* e (pow v 2)))
(*.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)))
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e)))
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e)))
(* -1 (* e (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2)))))
(*.f64 (neg.f64 e) (-.f64 (*.f64 (*.f64 v v) #s(literal 1/3 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) e)))

eval164.0ms (1.6%)

Memory
12.2MiB live, 286.4MiB allocated
Compiler

Compiled 29 189 to 3 331 computations (88.6% saved)

prune187.0ms (1.9%)

Memory
-42.2MiB live, 325.7MiB allocated
Pruning

40 alts after pruning (35 fresh and 5 done)

PrunedKeptTotal
New1 289211 310
Fresh81422
Picked415
Done044
Total1 301401 341
Accuracy
100.0%
Counts
1 341 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
65.7%
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e))
99.8%
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
55.2%
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
55.1%
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
97.9%
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
5.8%
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
97.9%
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
4.8%
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
54.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
4.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
55.6%
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
55.6%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))))
5.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
55.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
96.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
4.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
55.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
56.3%
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
56.2%
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
54.7%
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
65.6%
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
74.3%
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
36.0%
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e))))
53.6%
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
54.6%
(*.f64 v (-.f64 e (*.f64 e e)))
54.6%
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
29.2%
(*.f64 v (*.f64 e (neg.f64 e)))
53.6%
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
54.8%
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
53.7%
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
54.6%
(*.f64 e (-.f64 v (*.f64 e v)))
99.3%
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
98.8%
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
29.2%
(*.f64 e (*.f64 e (neg.f64 v)))
98.1%
(*.f64 e (sin.f64 v))
54.0%
(*.f64 e v)
Compiler

Compiled 1 611 to 615 computations (61.8% saved)

regimes65.0ms (0.6%)

Memory
8.3MiB live, 88.7MiB allocated
Counts
72 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e))
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (*.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (*.f64 (sin.f64 v) (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))))
(*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 e e)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal 1 binary64)) (neg.f64 (*.f64 e e))) (*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (*.f64 e e) e))) (sin.f64 v)))
(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 #s(literal 1 binary64) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (*.f64 (pow.f64 e #s(literal -1/2 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 e (sin.f64 v))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 e (sin.f64 v))))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
Calls

3 calls:

23.0ms
e
22.0ms
v
17.0ms
(/.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)

regimes54.0ms (0.5%)

Memory
-3.7MiB live, 72.4MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e))
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e))))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
Outputs
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
Calls

3 calls:

18.0ms
v
15.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.3%1e
99.3%1v
99.3%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory
31.8MiB live, 69.8MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (-.f64 e (*.f64 e e)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (fma.f64 e e e))
(*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e e e)) (sin.f64 v)))
(*.f64 (*.f64 (*.f64 e (-.f64 e (*.f64 e (*.f64 e e)))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e e e)))
(*.f64 (sin.f64 v) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e)) (*.f64 e (-.f64 e (*.f64 e (*.f64 e e))))) (/.f64 #s(literal 1 binary64) (fma.f64 e e e))) (*.f64 (fma.f64 e e #s(literal 1 binary64)) (*.f64 e e))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

18.0ms
v
14.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
99.2%1e
99.2%1v
99.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes44.0ms (0.4%)

Memory
-25.2MiB live, 57.7MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
Outputs
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
Calls

3 calls:

15.0ms
e
15.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
12.0ms
v
Results
AccuracySegmentsBranch
98.8%1e
98.8%1v
98.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes39.0ms (0.4%)

Memory
18.1MiB live, 56.1MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
Outputs
(*.f64 e (sin.f64 v))
Calls

3 calls:

15.0ms
e
11.0ms
v
11.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
98.1%1v
98.1%1e
98.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes65.0ms (0.7%)

Memory
-29.5MiB live, 59.0MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 e v)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (*.f64 e v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 e (fma.f64 (*.f64 v v) (*.f64 (fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) v) v))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (*.f64 (*.f64 v v) #s(literal -1/3 binary64)) e) v) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 e v)))) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (*.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))) (/.f64 v (/.f64 #s(literal 1 binary64) (-.f64 e (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (-.f64 (fma.f64 v (*.f64 v (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
Outputs
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
Calls

3 calls:

38.0ms
e
14.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
11.0ms
v
Results
AccuracySegmentsBranch
56.3%1e
56.3%1v
56.3%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)

regimes21.0ms (0.2%)

Memory
34.5MiB live, 34.5MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 v (*.f64 (fma.f64 (*.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 e (*.f64 e e))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
(*.f64 v (fma.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) e))
Outputs
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
Calls

3 calls:

7.0ms
v
7.0ms
e
6.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
55.2%1v
55.2%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
55.2%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes34.0ms (0.3%)

Memory
-17.1MiB live, 21.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 v (*.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(*.f64 v (fma.f64 (*.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(/.f64 v (fma.f64 (*.f64 v v) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
Outputs
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
Calls

3 calls:

23.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
5.0ms
v
5.0ms
e
Results
AccuracySegmentsBranch
55.1%1v
55.1%1e
55.1%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (fma.f64 (*.f64 e v) (+.f64 e #s(literal -1 binary64)) v))
Outputs
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
Calls

3 calls:

3.0ms
e
3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.8%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.8%1v
54.8%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory
-28.2MiB live, 10.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 e v)
(*.f64 e (*.f64 e (neg.f64 v)))
(*.f64 v (*.f64 e (neg.f64 e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v (-.f64 e (*.f64 e e)))
(-.f64 v (/.f64 v e))
(*.f64 v (*.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) e))
Outputs
(*.f64 e (-.f64 v (*.f64 e v)))
Calls

3 calls:

7.0ms
e
3.0ms
v
3.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
Results
AccuracySegmentsBranch
54.6%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.6%1e
54.6%1v
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Accuracy

Total -16.7b remaining (-56.8%)

Threshold costs -16.7b (-56.8%)

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

3 calls:

2.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
2.0ms
v
2.0ms
e
Results
AccuracySegmentsBranch
54.0%1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
54.0%1v
54.0%1e
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03593
16093
27393
37893
48093
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e (fma.f64 e (-.f64 (*.f64 e v) v) v))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 e v)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 e (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(*.f64 e (*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e #s(literal 1 binary64)))
(*.f64 e (*.f64 (-.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(*.f64 e (*.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) e)))
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))) e)
(*.f64 e (/.f64 v (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 (*.f64 e v) (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 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 e (-.f64 v (*.f64 e v)))
(*.f64 e v)

soundness1.4s (13.8%)

Memory
7.2MiB live, 949.3MiB allocated
Rules
14 218×lower-fma.f64
14 218×lower-fma.f32
14 120×lower-fma.f64
14 120×lower-fma.f32
12 802×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951209
15841194
216521162
349071089
080391013
03503332
110453250
229903188
082482988
026149
051137
1226123
21791123
08560118
03503281
111143148
233843046
086632879
01884
03682
114382
277382
3754482
0864782
05464296
116944127
255254089
083813776
0929
01529
14229
224129
3209729
0837027
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 398 to 218 computations (45.2% saved)

preprocess82.0ms (0.8%)

Memory
13.7MiB live, 130.5MiB allocated
Remove

(negabs v)

Compiler

Compiled 360 to 182 computations (49.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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