2cos (problem 3.3.5)

Time bar (total: 19.9s)

analyze38.0ms (0.2%)

Memory
3.0MiB live, 42.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample10.1s (50.9%)

Memory
-83.7MiB live, 10 585.8MiB allocated
Samples
4.2s26 270×0invalid
3.4s5 613×2valid
602.0ms2 506×1valid
17.0ms137×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.4s
ival-cos: 3.1s (47.8% of total)
const: 696.0ms (10.9% of total)
adjust: 515.0ms (8.1% of total)
ival-fabs: 403.0ms (6.3% of total)
ival-mult: 392.0ms (6.1% of total)
ival-sub: 355.0ms (5.6% of total)
ival-<: 335.0ms (5.2% of total)
ival-<=: 247.0ms (3.9% of total)
ival-add: 224.0ms (3.5% of total)
ival-and: 104.0ms (1.6% of total)
exact: 44.0ms (0.7% of total)
ival-assert: 14.0ms (0.2% of total)
Bogosity

preprocess30.0ms (0.2%)

Memory
13.2MiB live, 52.5MiB allocated
Algorithm
egg-herbie
Rules
108×sub-neg
80×lower-fma.f64
80×lower-fma.f32
80×associate--r+
66×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
13837
28135
315235
427835
537035
644835
748535
853135
954635
1055435
067
0107
1137
2187
3247
4327
5477
6807
71077
81517
91667
101747
01747
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

explain209.0ms (1%)

Memory
22.5MiB live, 294.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1321(-2.2458669428694582e-160 1.8459190091938433e-163)0-(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
30-0-(cos.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))cancellation1330
cos.f64(cos.f64 (+.f64 x eps))sensitivity31
Confusion
Predicted +Predicted -
+1320
-1123
Precision
0.9924812030075187
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-10123
Precision?
0.9924812030075187
Recall?
1.0
Freqs
test
numberfreq
0123
1130
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms362×2valid
20.0ms136×1valid
1.0ms14×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-cos: 106.0ms (79% of total)
adjust: 18.0ms (13.4% of total)
ival-sub: 6.0ms (4.5% of total)
ival-add: 3.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory
-25.3MiB live, 13.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 x eps)
cost-diff0
(cos.f64 (+.f64 x eps))
cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11318
21818
32418
43218
54718
68018
710718
815118
916618
1017418
017418
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

localize85.0ms (0.4%)

Memory
23.0MiB live, 99.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(cos.f64 x)
accuracy99.8%
(cos.f64 (+.f64 x eps))
accuracy54.3%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Samples
66.0ms181×2valid
8.0ms68×1valid
1.0ms0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-cos: 49.0ms (77.4% of total)
adjust: 10.0ms (15.8% of total)
ival-sub: 3.0ms (4.7% of total)
ival-add: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (cos.f64 x)>
#<alt (+.f64 x eps)>
Outputs
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (- (cos (- eps (* -1 x))) (cos x))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (- (* -1/2 (* eps (cos x))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))>
#<alt (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (+ eps x)) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (- (cos (- x (* -1 eps))) (cos x))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(- (cos (+ x eps)) (cos x))
0.0ms
x
@0
(- (cos (+ x eps)) (cos x))
0.0ms
eps
@0
(- (cos (+ x eps)) (cos x))
0.0ms
x
@-inf
(- (cos (+ x eps)) (cos x))
0.0ms
x
@inf
(+ x eps)

rewrite296.0ms (1.5%)

Memory
-25.4MiB live, 426.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 936×lower-fma.f64
4 936×lower-fma.f32
4 656×lower-*.f64
4 656×lower-*.f32
2 192×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
15416
238016
3469416
0820916
Stop Event
iter limit
node limit
iter limit
Counts
4 → 228
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(cos.f64 x)
(+.f64 x eps)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x eps))))) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (cos.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))) (neg.f64 (cos.f64 x)))
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(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))

simplify337.0ms (1.7%)

Memory
-0.4MiB live, 479.4MiB allocated
Algorithm
egg-herbie
Rules
14 158×lower-fma.f64
14 158×lower-fma.f32
4 148×lower-*.f64
4 148×lower-*.f32
3 720×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105498
1277495
2609495
32401494
47937494
08087474
Stop Event
iter limit
node limit
Counts
84 → 78
Calls
Call 1
Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (+ eps x)) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(- (cos (- x (* -1 eps))) (cos x))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
Outputs
(- (cos eps) 1)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* eps (sin x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (sin.f64 (neg.f64 eps)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps)))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)

simplify53.0ms (0.3%)

Memory
-3.5MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06306837
16316837
06316837
Stop Event
saturated
saturated
Counts
228 → 0
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
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(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(neg.f64 (/.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (-.f64 x eps)))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (*.f64 (-.f64 x eps) (fma.f64 x x (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) #s(literal -1 binary64)))
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(+.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(+.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(-.f64 (+.f64 (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)) (cos.f64 x))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (cos.f64 (+.f64 x eps)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 (+.f64 x eps)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (+.f64 x eps) #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) (cos.f64 (+.f64 x eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 (neg.f64 eps)) (neg.f64 (cos.f64 x))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 x x) (-.f64 x eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))
(/.f64 (*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(*.f64 (*.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x eps) (-.f64 x eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps eps))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 eps (+.f64 x eps))) (-.f64 x eps))))

eval13.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Compiler

Compiled 1 372 to 90 computations (93.4% saved)

prune25.0ms (0.1%)

Memory
-17.1MiB live, 22.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New14511156
Fresh000
Picked011
Done000
Total14512157
Accuracy
99.7%
Counts
157 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(-.f64 (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (cos.f64 x))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
52.4%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
52.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
52.5%
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
52.2%
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
79.1%
(*.f64 (sin.f64 x) (neg.f64 eps))
99.7%
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
99.3%
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
98.8%
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
Compiler

Compiled 343 to 232 computations (32.4% saved)

simplify334.0ms (1.7%)

Memory
20.3MiB live, 372.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 eps)
cost-diff0
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
cost-diff0
(cos.f64 eps)
cost-diff0
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
cost-diff0
(+.f64 x eps)
cost-diff0
(cos.f64 (+.f64 x eps))
cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
cost-diff0
(neg.f64 eps)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (neg.f64 eps))
cost-diff0
(cos.f64 eps)
cost-diff0
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
cost-diff0
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
cost-diff0
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
cost-diff128
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))
cost-diff6208
(fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
Rules
12 544×lower-fma.f32
12 534×lower-fma.f64
3 542×lower-*.f32
3 526×lower-*.f64
1 910×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033194
064194
1133194
2304194
3714194
41550194
52933194
65089194
76243194
87241194
97822194
08031190
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
eps
(fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(cos.f64 x)
x
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))
#s(literal -1/2 binary64)
(*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))
(*.f64 eps #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
(sin.f64 x)
(sin.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
eps
#s(literal -1 binary64)
(*.f64 (sin.f64 x) (neg.f64 eps))
(sin.f64 x)
x
(neg.f64 eps)
eps
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(cos.f64 eps)
eps
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
x
(sin.f64 eps)
#s(literal 1 binary64)
Outputs
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
eps
(fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x)))
(fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))
(fma.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(cos.f64 x)
x
(+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64))))
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))
(*.f64 eps #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
#s(literal 1/6 binary64)
(sin.f64 x)
(sin.f64 (neg.f64 x))
(neg.f64 x)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
eps
#s(literal -1 binary64)
(*.f64 (sin.f64 x) (neg.f64 eps))
(sin.f64 x)
x
(neg.f64 eps)
eps
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(cos.f64 eps)
eps
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
x
(sin.f64 eps)
#s(literal 1 binary64)

localize796.0ms (4%)

Memory
13.4MiB live, 334.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 eps)
accuracy100.0%
(cos.f64 eps)
accuracy100.0%
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
accuracy54.6%
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
accuracy99.8%
(cos.f64 (+.f64 x eps))
accuracy99.4%
(*.f64 x #s(literal 1/24 binary64))
accuracy55.1%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(*.f64 (sin.f64 x) (neg.f64 eps))
accuracy100.0%
(cos.f64 eps)
accuracy55.6%
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
accuracy99.8%
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
accuracy99.8%
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
accuracy99.5%
(*.f64 eps #s(literal 1/24 binary64))
accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
Samples
669.0ms185×2valid
75.0ms66×1valid
2.0ms0valid
Compiler

Compiled 209 to 40 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 307.0ms
ival-cos: 142.0ms (46.2% of total)
adjust: 64.0ms (20.8% of total)
const: 38.0ms (12.4% of total)
ival-mult: 27.0ms (8.8% of total)
ival-add: 19.0ms (6.2% of total)
ival-sin: 10.0ms (3.3% of total)
ival-sub: 5.0ms (1.6% of total)
ival-neg: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.2%)

Memory
-4.7MiB live, 33.1MiB allocated
Counts
16 → 276
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/6 binary64) (sin.f64 x))>
#<alt (*.f64 eps #s(literal 1/24 binary64))>
#<alt (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))>
#<alt (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))>
#<alt (+.f64 (cos.f64 eps) #s(literal -1 binary64))>
#<alt (cos.f64 eps)>
#<alt (*.f64 (sin.f64 x) (neg.f64 eps))>
#<alt (neg.f64 eps)>
#<alt (sin.f64 x)>
#<alt (-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))>
#<alt (-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))>
#<alt (fma.f64 x (sin.f64 eps) #s(literal 1 binary64))>
#<alt (sin.f64 eps)>
Outputs
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/6 (sin x))>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/24 eps)>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps x))>
#<alt (* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))>
#<alt (* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))>
#<alt (* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* 1/6 (* eps (sin x)))>
#<alt (* eps (sin (neg x)))>
#<alt (* eps (+ (sin (neg x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))>
#<alt (* 1/24 (* (pow eps 4) (cos x)))>
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (+ (* 1/6 (/ (sin x) eps)) (/ (sin (neg x)) (pow eps 3))))))>
#<alt (* 1/24 (* (pow eps 4) (cos x)))>
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (cos x)) (/ (sin (neg x)) eps)) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))>
#<alt (* -1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt (- (cos eps) 1)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))>
#<alt (* -1/24 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))>
#<alt (- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (- (* -1/2 eps) x))>
#<alt (* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))>
#<alt (* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) (+ 1 (* x (sin eps))))>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (* -1 (* x (sin eps)))>
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))>
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))>
#<alt (* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))>
#<alt (* -1 (* x (sin eps)))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))>
#<alt 1>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (* x (sin eps))>
#<alt (* x (+ (sin eps) (/ 1 x)))>
#<alt (* x (+ (sin eps) (/ 1 x)))>
#<alt (* x (+ (sin eps) (/ 1 x)))>
#<alt (* x (sin eps))>
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))>
#<alt (+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt (+ 1 (* x (sin eps)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
Calls

69 calls:

TimeVariablePointExpression
24.0ms
x
@0
(* 1/6 (sin x))
3.0ms
x
@0
(* x (+ (* x (* x 1/24)) -1/2))
1.0ms
x
@-inf
(* eps (* 1/6 (sin x)))
1.0ms
x
@inf
(* eps (+ (* eps (+ (* (cos x) (+ -1/2 (* eps (* eps 1/24)))) (* eps (* 1/6 (sin x))))) (sin (neg x))))
1.0ms
x
@-inf
(* eps (+ (* eps (+ (* (cos x) (+ -1/2 (* eps (* eps 1/24)))) (* eps (* 1/6 (sin x))))) (sin (neg x))))

rewrite513.0ms (2.6%)

Memory
-5.0MiB live, 390.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 570×lower-fma.f32
4 560×lower-fma.f64
4 542×lower-*.f32
4 526×lower-*.f64
3 528×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
06497
125197
2201197
0839196
Stop Event
iter limit
node limit
iter limit
Counts
16 → 270
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
(*.f64 (sin.f64 x) (neg.f64 eps))
(neg.f64 eps)
(sin.f64 x)
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(cos.f64 (+.f64 x eps))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(sin.f64 eps)
Outputs
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x))
(+.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) (/.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps)) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps)) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x))))
(*.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x))) eps)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (cos.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
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(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)) #s(literal 1 binary64))
(fma.f64 (sin.f64 eps) x #s(literal 1 binary64))
(fma.f64 (sin.f64 eps) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps)))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(sin.f64 eps)

simplify611.0ms (3.1%)

Memory
7.0MiB live, 476.9MiB allocated
Algorithm
egg-herbie
Rules
12 908×lower-fma.f64
12 908×lower-fma.f32
5 794×lower-*.f64
5 794×lower-*.f32
4 786×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03432435
110202379
227722346
372322346
084272178
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
(* 1/6 x)
(* x (+ 1/6 (* -1/36 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/36))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))) 1/36))))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/6 (sin x))
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/24 eps)
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps x))
(* x (+ (* -1/36 (* eps (pow x 2))) (* 1/6 eps)))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* 1/720 (* eps (pow x 2)))))))
(* x (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/36 eps) (* (pow x 2) (+ (* -1/30240 (* eps (pow x 2))) (* 1/720 eps)))))))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* 1/6 (* eps (sin x)))
(* eps (sin (neg x)))
(* eps (+ (sin (neg x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (sin (neg x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (+ (* 1/6 (/ (sin x) eps)) (/ (sin (neg x)) (pow eps 3))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (cos x)) (/ (sin (neg x)) eps)) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* eps (* x (+ 1/6 (* -1/36 (pow eps 2))))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (neg x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* eps (+ (sin (* -1 x)) (* eps (+ (* 1/6 (* eps (sin x))) (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
(- (cos eps) 1)
1
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 (* eps (sin x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(* -1/24 (pow x 4))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* eps x))
(* eps (- (* -1/2 eps) x))
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) (+ 1 (* x (sin eps))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(* -1 (* x (sin eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(* -1 (* x (sin eps)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
1
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(* x (sin eps))
(* x (+ (sin eps) (/ 1 x)))
(* x (+ (sin eps) (/ 1 x)))
(* x (+ (sin eps) (/ 1 x)))
(* x (sin eps))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))
(+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
(+ 1 (* x (sin eps)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/36 (pow x 2))))
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(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(* -1/24 (pow x 4))
(*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (+ eps x)) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -1/24 (pow x 4))
(*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/24))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (cos (- eps (* -1 x))) (pow x 4))) (+ 1/24 (/ 1 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (cos.f64 (+.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(- (cos x) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (+ (cos x) (* -1 (* eps (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 x) (fma.f64 (sin.f64 x) eps (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (fma.f64 (sin.f64 x) (neg.f64 eps) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(fma.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (cos.f64 x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (+ eps x)) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(- (cos (- x (* -1 eps))) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 x (fma.f64 (sin.f64 eps) (fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (cos.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 x eps))
(cos x)
(cos.f64 x)
(+ (cos x) (* -1 (* eps (sin x))))
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) eps)))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (+ eps x))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 x eps))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* eps x))
(*.f64 x (neg.f64 eps))
(* eps (- (* -1/2 eps) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) (+ 1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(* -1 (* x (sin eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
(* -1 (* x (sin eps)))
(neg.f64 (*.f64 x (sin.f64 eps)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(fma.f64 x (-.f64 (/.f64 (cos.f64 eps) x) (sin.f64 eps)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* x (+ (sin eps) (/ 1 x)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* x (+ (sin eps) (/ 1 x)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* x (+ (sin eps) (/ 1 x)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* x (sin eps))
(*.f64 x (sin.f64 eps))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 x))))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))
(fma.f64 x (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) #s(literal 1 binary64))
(+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))
(fma.f64 eps (fma.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(+ 1 (* x (sin eps)))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)
(sin eps)
(sin.f64 eps)

simplify138.0ms (0.7%)

Memory
-32.3MiB live, 160.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078911441
179011441
079011441
Stop Event
saturated
saturated
Counts
270 → 0
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
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(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(sin.f64 eps)
Outputs
(*.f64 #s(literal 1/6 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1/6 binary64))
(*.f64 eps #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) eps)
(*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) eps))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)
(*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) eps) (sin.f64 x))
(+.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))) (/.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 eps (sin.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 eps (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (sin.f64 (neg.f64 x)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) eps (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 x) eps)))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) eps (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps) (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) (neg.f64 (*.f64 (sin.f64 x) eps)))))
(/.f64 (neg.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) eps)) (neg.f64 (fma.f64 (sin.f64 (neg.f64 x)) (-.f64 (sin.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))) (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) eps)) (neg.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (neg.f64 x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 eps eps))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x))))
(*.f64 (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (sin.f64 (neg.f64 x))) eps)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal -1 binary64) (cos.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
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(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))
(fma.f64 x (sin.f64 eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)) #s(literal 1 binary64))
(fma.f64 (sin.f64 eps) x #s(literal 1 binary64))
(fma.f64 (sin.f64 eps) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (sin.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps)))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (*.f64 x (sin.f64 eps))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))) (*.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (sin.f64 eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 eps))))))
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 eps) #s(literal -1 binary64))))
(sin.f64 eps)

eval67.0ms (0.3%)

Memory
20.7MiB live, 135.7MiB allocated
Compiler

Compiled 8 730 to 331 computations (96.2% saved)

prune34.0ms (0.2%)

Memory
-16.7MiB live, 94.5MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New57618594
Fresh426
Picked325
Done011
Total58323606
Accuracy
99.9%
Counts
606 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
97.4%
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
52.2%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
52.0%
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
78.1%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
78.0%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
78.0%
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
22.9%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps)))
22.0%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps)))))
79.1%
(*.f64 (sin.f64 x) (neg.f64 eps))
78.0%
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
78.0%
(*.f64 x (neg.f64 eps))
99.7%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
99.3%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
99.7%
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
98.7%
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x))))
96.8%
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
96.8%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
98.8%
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
96.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
53.2%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Compiler

Compiled 809 to 472 computations (41.7% saved)

simplify407.0ms (2%)

Memory
6.6MiB live, 687.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x eps)
cost-diff0
(cos.f64 (+.f64 x eps))
cost-diff0
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
cost-diff128
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
cost-diff0
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
cost-diff192
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
cost-diff0
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
Rules
15 318×lower-fma.f32
15 306×lower-fma.f64
3 714×lower-*.f32
3 696×lower-*.f64
2 558×lower-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031186
060180
1126180
2313180
3823180
41985179
53461179
66945179
08023179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(cos.f64 x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
x
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
eps
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(neg.f64 eps)
eps
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
#s(literal 1 binary64)
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(cos.f64 x)
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
x
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))
eps
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 (*.f64 eps x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 x (*.f64 x x))
(neg.f64 eps)
eps
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 x eps))
(cos.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 1 binary64)

localize161.0ms (0.8%)

Memory
18.8MiB live, 294.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x eps)
accuracy99.8%
(cos.f64 (+.f64 x eps))
accuracy99.7%
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy100.0%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
accuracy100.0%
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
accuracy100.0%
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
accuracy100.0%
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
accuracy100.0%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
Samples
101.0ms247×1exit
3.0ms0valid
Compiler

Compiled 208 to 39 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 34.0ms (41.2% of total)
adjust: 16.0ms (19.4% of total)
const: 12.0ms (14.5% of total)
ival-add: 8.0ms (9.7% of total)
ival-cos: 6.0ms (7.3% of total)
ival-sin: 3.0ms (3.6% of total)
ival-sub: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
-21.6MiB live, 27.3MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))>
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))>
#<alt (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))>
#<alt (cos.f64 x)>
#<alt (+.f64 #s(literal 1 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))>
#<alt (*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))>
#<alt (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)>
#<alt (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))>
#<alt (neg.f64 eps)>
#<alt (-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))>
#<alt (cos.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))>
#<alt (* 1/24 (* (pow eps 4) (cos x)))>
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))>
#<alt (* 1/24 (* (pow eps 4) (cos x)))>
#<alt (* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))>
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))>
#<alt (* 1/24 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))>
#<alt (* 1/24 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))>
#<alt (* -1/2 (* eps (cos x)))>
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))>
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))>
#<alt (* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))>
#<alt (* 1/24 (* (pow eps 3) (cos x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))>
#<alt (* 1/24 (* (pow eps 3) (cos x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))>
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt -1>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (- (* 1/6 (pow x 2)) 1)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* 1/6 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* 1/6 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (* x (- (* 1/6 (pow x 2)) 1)))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* eps (- (* 1/6 (pow x 2)) 1))>
#<alt (* -1 eps)>
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))>
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))>
#<alt (+ (* -1 eps) (* 1/6 (* eps (pow x 2))))>
#<alt (* 1/6 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* 1/6 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))>
#<alt (* -1 (* eps x))>
#<alt (* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))>
#<alt (* -1/120 (* eps (pow x 5)))>
#<alt (* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))>
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))>
#<alt (* -1/120 (* eps (pow x 5)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt (* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (- (cos eps) 1)>
#<alt (- (+ (cos eps) (* -1 (* x (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)>
#<alt (- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos (- eps (* -1 x))) 1)>
#<alt (- (cos x) 1)>
#<alt (- (+ (cos x) (* -1 (* eps (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)>
#<alt (- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (+ eps x)) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (- (cos (- x (* -1 eps))) 1)>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
Calls

72 calls:

TimeVariablePointExpression
4.0ms
eps
@inf
(* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2)))
1.0ms
eps
@0
(* (+ (* (+ (* (* x x) 1/120) -1/6) (* x (* x x))) x) (neg eps))
1.0ms
x
@inf
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2)))))
1.0ms
eps
@0
(* x (* eps (+ (* (* x x) 1/6) -1)))
1.0ms
x
@-inf
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (cos x) (+ (* 1/24 (* eps eps)) -1/2)))))

rewrite550.0ms (2.8%)

Memory
20.0MiB live, 490.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 758×lower-*.f32
5 740×lower-*.f64
4 074×lower-/.f64
4 074×lower-/.f32
3 656×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031133
060129
1226129
21646129
08116129
Stop Event
iter limit
node limit
iter limit
Counts
16 → 448
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(cos.f64 x)
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(*.f64 x x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(neg.f64 eps)
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
Outputs
(+.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))
(/.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))))) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x)))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64))
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))

simplify393.0ms (2%)

Memory
9.5MiB live, 647.8MiB allocated
Algorithm
egg-herbie
Rules
14 398×lower-fma.f64
14 398×lower-fma.f32
6 616×lower-*.f64
6 616×lower-*.f32
4 310×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03203280
19803176
231093061
080922858
Stop Event
iter limit
node limit
Counts
288 → 281
Calls
Call 1
Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 4) (cos x)))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps))) eps)) (* 1/24 (cos x))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (cos x))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x)))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (cos x)))))
(* -1/2 (* eps (cos x)))
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))
(* eps (+ (* -1/2 (cos x)) (* 1/24 (* (pow eps 2) (cos x)))))
(* 1/24 (* (pow eps 3) (cos x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) (pow eps 2))) (* 1/24 (cos x))))
(* 1/24 (* (pow eps 3) (cos x)))
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (cos x)) (* 1/2 (/ (cos x) (pow eps 2))))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* (pow x 2) (+ (* -1/720 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))))))))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
(* eps (* (cos x) (- (* 1/24 (pow eps 2)) 1/2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
-1
(- (* 1/6 (pow x 2)) 1)
(- (* 1/6 (pow x 2)) 1)
(- (* 1/6 (pow x 2)) 1)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (- 1/6 (/ 1 (pow x 2))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* 1/6 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (- (* 1/6 (pow x 2)) 1))
(* -1 eps)
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(+ (* -1 eps) (* 1/6 (* eps (pow x 2))))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 1/120 (/ 1 (pow x 4))))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* -1/120 (* eps (pow x 5)))
(* (pow x 5) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2)))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* (pow x 5) (+ (* -1 (/ eps (pow x 4))) (+ (* -1/120 eps) (* 1/6 (/ eps (pow x 2))))))
(* -1/120 (* eps (pow x 5)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (* 1/120 eps))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ eps (pow x 2))) (+ (* 1/120 eps) (/ eps (pow x 4))))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
(* -1 (* eps (+ x (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos (- eps (* -1 x))) 1)
(- (cos x) 1)
(- (+ (cos x) (* -1 (* eps (sin x)))) 1)
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)
(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (+ eps x)) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(- (cos (- x (* -1 eps))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
eps
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
Outputs
(* -1 (* eps (sin x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* 1/24 (* eps (cos x))) (* 1/6 (sin x))))))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* 1/24 (* (pow eps 4) (cos x)))
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 4 binary64))))
(* (pow eps 4) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) #s(literal 1/24 binary64))))
(* (pow eps 4) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps)))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (*.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))))))
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (cos x) (pow eps 2))) (+ (* 1/24 (cos x)) (* 1/6 (/ (sin x) eps))))))
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(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
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(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(- (cos eps) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) 1)
(fma.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/2 binary64))) (sin.f64 eps)) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(- (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) 1)
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(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
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(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
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(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
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(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
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(- (cos (- eps (* -1 x))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos x) 1)
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(- (+ (cos x) (* -1 (* eps (sin x)))) 1)
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) #s(literal 1 binary64)))
(- (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) 1)
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(- (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (+ eps x)) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- x (* -1 eps))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- x (* -1 eps))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- x (* -1 eps))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(- (cos (- x (* -1 eps))) 1)
(+.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/2 binary64))) (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 (sin.f64 eps) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
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(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(cos x)
(cos.f64 x)
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(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
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(fma.f64 eps (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x)))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
(* x (+ 1 (/ eps x)))
(fma.f64 x (/.f64 eps x) x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 x (/.f64 eps x) x)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 eps (/.f64 x eps) eps)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 eps (/.f64 x eps) eps)

simplify142.0ms (0.7%)

Memory
-30.6MiB live, 214.7MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131418022
1131518022
0131518022
Stop Event
saturated
saturated
Counts
448 → 0
Calls
Call 1
Inputs
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(fma.f64 (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))
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(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 eps x)
(+.f64 x eps)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x)))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64))
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
Outputs
(+.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (cos.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))
(/.f64 (*.f64 eps (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))))) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) eps) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)))) eps) (-.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))))
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(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 eps x)
(+.f64 x eps)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))
(/.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 eps (*.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (fma.f64 (*.f64 eps eps) (*.f64 eps eps) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 eps eps)) (-.f64 x eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x)))
(pow.f64 (/.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)) (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x eps) (*.f64 (+.f64 eps x) (-.f64 x eps))) #s(literal -1 binary64))
(*.f64 (fma.f64 eps (*.f64 eps eps) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))

eval54.0ms (0.3%)

Memory
27.8MiB live, 107.7MiB allocated
Compiler

Compiled 9 040 to 299 computations (96.7% saved)

prune38.0ms (0.2%)

Memory
2.9MiB live, 79.4MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New59614610
Fresh31215
Picked145
Done123
Total60132633
Accuracy
99.9%
Counts
633 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
96.9%
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
52.5%
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
54.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
52.2%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
52.0%
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
78.1%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
78.0%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
22.9%
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))))
22.9%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps)))
22.0%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps)))))
79.1%
(*.f64 (sin.f64 x) (neg.f64 eps))
31.2%
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
78.0%
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
78.0%
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
51.9%
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
78.0%
(*.f64 x (neg.f64 eps))
96.9%
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
97.9%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
98.2%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
97.7%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
97.8%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
99.7%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
99.3%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
97.2%
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
96.8%
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
96.8%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
98.8%
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
96.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
32.4%
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))))
78.0%
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
53.2%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Compiler

Compiled 1 229 to 713 computations (42% saved)

simplify423.0ms (2.1%)

Memory
-8.3MiB live, 668.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
cost-diff0
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff640
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
cost-diff704
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
cost-diff0
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
cost-diff0
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)
cost-diff0
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
cost-diff0
(neg.f64 eps)
cost-diff0
(*.f64 x (neg.f64 eps))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
cost-diff0
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
Rules
17 504×lower-fma.f32
17 486×lower-fma.f64
5 978×lower-+.f64
5 978×lower-+.f32
3 886×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036359
073359
1179359
2551350
31851350
45125349
57890349
08896345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 x (neg.f64 eps))
x
(neg.f64 eps)
eps
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
eps
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x eps)
x
#s(literal -1/2 binary64)
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
x
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 eps eps)
eps
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
(*.f64 x (neg.f64 eps))
(*.f64 eps (neg.f64 x))
x
(neg.f64 eps)
eps
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
eps
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)
(fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 x eps)
(*.f64 eps x)
x
#s(literal -1/2 binary64)
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
x
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)) (*.f64 eps #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))
(*.f64 eps eps)
eps
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
eps
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(sin.f64 x)
x
(fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))
#s(literal 1/6 binary64)
(*.f64 eps eps)
#s(literal -1 binary64)
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) eps))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))

localize148.0ms (0.7%)

Memory
-11.1MiB live, 305.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy100.0%
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
accuracy100.0%
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
accuracy99.8%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
accuracy100.0%
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
accuracy100.0%
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
accuracy100.0%
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy100.0%
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
accuracy100.0%
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)
accuracy100.0%
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
accuracy99.8%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
accuracy100.0%
(*.f64 x (neg.f64 eps))
accuracy100.0%
(neg.f64 eps)
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
accuracy100.0%
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
accuracy99.8%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
Samples
82.0ms253×0valid
2.0ms3valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 404 to 46 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 37.0ms (58.9% of total)
ival-add: 11.0ms (17.5% of total)
const: 7.0ms (11.1% of total)
ival-cos: 3.0ms (4.8% of total)
ival-sin: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.3%)

Memory
2.1MiB live, 51.6MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))>
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))>
#<alt (cos.f64 x)>
#<alt (neg.f64 eps)>
#<alt (*.f64 x (neg.f64 eps))>
#<alt (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))>
#<alt (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))>
#<alt (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))>
#<alt (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))>
#<alt (fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))>
#<alt (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))>
#<alt (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))>
#<alt (*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))>
#<alt (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))>
#<alt (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))>
#<alt (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))>
Outputs
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))>
#<alt (* 1/6 (* (pow eps 3) (sin x)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))>
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#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))>
#<alt (* -1 (* eps (sin x)))>
#<alt (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x)))))))>
#<alt (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x))))))))>
#<alt (* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))>
#<alt (* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))>
#<alt (* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))>
#<alt (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))>
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))>
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))>
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))>
#<alt (* eps (- (* 1/24 (pow eps 2)) 1/2))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))>
#<alt (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))>
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))>
#<alt (* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))>
#<alt (* -1 (sin x))>
#<alt (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x))))))>
#<alt (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x)))))))>
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))>
#<alt (* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))>
#<alt (* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))>
Calls

93 calls:

TimeVariablePointExpression
20.0ms
eps
@inf
(+ (* x (+ (* (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)) (* x -1/2)) (* eps (+ (* 1/6 (* eps eps)) -1)))) (* (* eps eps) (+ (* 1/24 (* eps eps)) -1/2)))
5.0ms
eps
@0
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x)))))
1.0ms
x
@-inf
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x)))))
1.0ms
x
@inf
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* -1/2 (cos x)))))
1.0ms
x
@inf
(* eps (+ (* (sin x) (+ (* 1/6 (* eps eps)) -1)) (* eps (* (+ (* x (* x (+ (* 1/24 (* x x)) -1/2))) 1) (+ (* 1/24 (* eps eps)) -1/2)))))

rewrite998.0ms (5%)

Memory
17.1MiB live, 523.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 976×lower-fma.f32
6 958×lower-fma.f64
5 148×lower-*.f32
5 116×lower-*.f64
3 216×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036244
073244
1298244
22565241
08819241
Stop Event
iter limit
node limit
iter limit
Counts
18 → 605
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(cos.f64 x)
(neg.f64 eps)
(*.f64 x (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64))))
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)

simplify578.0ms (2.9%)

Memory
10.8MiB live, 373.6MiB allocated
Algorithm
egg-herbie
Rules
13 190×lower-fma.f64
13 190×lower-fma.f32
7 374×lower-*.f64
7 374×lower-*.f32
2 826×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05146052
117155861
257215375
082604938
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 3) (sin x)))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
(* -1/2 (* eps (cos x)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1/2 eps)))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2))))
(* 1/6 (* (pow eps 3) x))
(* (pow eps 3) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 3) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/2) eps)) (* -1/6 x))))
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(* eps (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* x (+ (* -1/2 (/ (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow eps 2))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1 (* x (+ (* 1/2 (/ (pow eps 2) x)) (* eps (+ 1 (* -1/6 (pow eps 2)))))))
(* -1/2 eps)
(* eps (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* 1/6 (* eps x)) 1/2))
(* eps (- (* 1/6 (* eps x)) 1/2))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(+ (* -1/2 eps) (* 1/6 (* (pow eps 2) x)))
(* 1/6 (* (pow eps 2) x))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* x (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))))
(* 1/6 (* (pow eps 2) x))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 (* x (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x)))))
(* -1 x)
(- (* -1/2 eps) x)
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x)
(- (* eps (- (* 1/6 (* eps x)) 1/2)) x)
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(* -1 (* x (+ 1 (* -1/6 (pow eps 2)))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
(* -1 (* x (+ 1 (+ (* -1/6 (pow eps 2)) (* 1/2 (/ eps x))))))
-1/2
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(* 1/6 (* eps x))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* x (- (* 1/6 eps) (* 1/2 (/ 1 x))))
(* 1/6 (* eps x))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/6 eps) (* 1/2 (/ 1 x)))))
-1/2
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(- (* 1/6 (* eps x)) 1/2)
(* 1/6 (* eps x))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* eps (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* 1/6 (* eps x))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* -1/2 (pow eps 2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* 1/24 (pow eps 4))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/24 (pow eps 4))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- 1/24 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x) (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2)))))
(* -1/2 (* (pow eps 2) (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 2) (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* eps (- (* 1/6 (pow eps 2)) 1))) (* -1 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) x))) x)) (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))
(* eps (+ (* -1 x) (* eps (- (+ (* 1/6 (* eps x)) (* 1/4 (pow x 2))) 1/2))))
(* eps (+ (* -1 x) (* eps (- (+ (* 1/4 (pow x 2)) (* eps (+ (* 1/6 x) (* eps (+ 1/24 (* -1/48 (pow x 2))))))) 1/2))))
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2)))))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (- (+ 1/24 (+ (* -1 (/ x (pow eps 3))) (+ (* -1/48 (pow x 2)) (+ (* 1/6 (/ x eps)) (* 1/4 (/ (pow x 2) (pow eps 2))))))) (/ 1/2 (pow eps 2))))
(* (pow eps 4) (+ 1/24 (* -1/48 (pow x 2))))
(* (pow eps 4) (+ 1/24 (+ (* -1/48 (pow x 2)) (* 1/6 (/ x eps)))))
(* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2)))))
(* (pow eps 4) (+ 1/24 (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2) eps)) (* -1/6 x)) eps)) (* -1/48 (pow x 2)))))
(* -1 eps)
(* eps (- (* 1/4 (* eps x)) 1))
(* eps (- (* eps (+ (* 1/6 eps) (* 1/4 x))) 1))
(* eps (- (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/48 (* eps x)))))) 1))
(* -1/48 (* (pow eps 4) x))
(* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))
(* (pow eps 4) (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))))
(* (pow eps 4) (- (+ (* -1/48 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/6 (/ 1 eps)))) (/ 1 (pow eps 3))))
(* -1/48 (* (pow eps 4) x))
(* (pow eps 4) (+ (* -1/48 x) (* 1/6 (/ 1 eps))))
(* (pow eps 4) (+ (* -1 (/ (- (* -1/4 (/ x eps)) 1/6) eps)) (* -1/48 x)))
(* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ (- (* 1/4 x) (/ 1 eps)) eps)) 1/6) eps)) (* -1/48 x)))
(* eps (- (* 1/6 (pow eps 2)) 1))
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))
(* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))
(* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)))
(* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 (* x (+ (* -1 (/ (* eps (- (* 1/6 (pow eps 2)) 1)) x)) (* 1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))
(* -1 eps)
(* eps (- (* 1/6 (pow eps 2)) 1))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* eps (- (* 1/6 (pow eps 2)) 1))
(* 1/6 (pow eps 3))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))
(* 1/6 (pow eps 3))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x)))))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x))))))))
(* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 4) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 4) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 4) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1/6 (sin x)) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) eps)) (* -1/6 (sin x))) eps)) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (* x (- (* 1/6 (pow eps 2)) 1))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* -1/2 (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/6 (pow eps 2)) 1)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/2 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))
(* 1/24 (* (pow eps 2) (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))) (pow x 4)))))
(* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/24 (* (pow eps 2) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))
(* -1 (* (pow eps 3) (+ (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* -1/2 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))) (* eps (- (* 1/24 (pow eps 2)) 1/2)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* (pow x 2) (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* 1/24 (* eps (* (pow x 2) (- (* 1/24 (pow eps 2)) 1/2)))))))
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)))))
(* eps (- (* 1/24 (pow eps 2)) 1/2))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* -1/2 (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))) (* 1/6 (pow eps 2))) 1)))
(+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/2 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))))) 1)))
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))
(* 1/24 (* eps (* (pow x 4) (- (* 1/24 (pow eps 2)) 1/2))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2)))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))
(* (pow x 4) (+ (* -1/2 (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 2))) (+ (* 1/24 (* eps (- (* 1/24 (pow eps 2)) 1/2))) (+ (/ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (pow x 4)) (/ (* (sin x) (- (* 1/6 (pow eps 2)) 1)) (pow x 4))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (* eps (sin x))))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* eps (+ (* 1/24 (* eps (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) (* 1/6 (sin x)))))))
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(* -1/2 x)
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* x (- (* 1/24 (pow x 2)) 1/2))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
Outputs
(* -1 (* eps (sin x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* 1/6 (* (pow eps 3) (sin x)))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))
(* 1/6 (* (pow eps 3) (sin x)))
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))))
(* -1/2 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (*.f64 eps (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))
(* -1/2 eps)
(*.f64 eps #s(literal -1/2 binary64))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(fma.f64 x (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
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(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
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(* (pow eps 3) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)))))
(* (pow eps 3) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) eps)))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 3))) (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow eps 2))) (+ (* 1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (* 1/6 (/ (sin x) eps))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))))
(* 1/24 (* (pow eps 3) (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))
(* -1 (* (pow eps 3) (+ (* -1/6 (/ (sin x) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (/.f64 #s(literal 1/6 binary64) eps) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/24 binary64)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))) (/ (sin x) eps)) eps)) (* 1/6 (sin x))) eps)) (* -1/24 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))))
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(* -1/2 x)
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(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* x (- (* 1/24 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))

simplify236.0ms (1.2%)

Memory
-11.9MiB live, 343.2MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156641557
1156741557
0156741557
Stop Event
saturated
saturated
Counts
605 → 0
Calls
Call 1
Inputs
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)
Outputs
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 eps eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (sin.f64 x) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) eps (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 eps (sin.f64 x)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps) (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) eps)) (neg.f64 (fma.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) eps)) (neg.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) eps)
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(+.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)))) (neg.f64 (sin.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (sin.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))
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(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) x)

eval73.0ms (0.4%)

Memory
6.8MiB live, 131.7MiB allocated
Compiler

Compiled 15 824 to 478 computations (97% saved)

prune51.0ms (0.3%)

Memory
-5.1MiB live, 77.7MiB allocated
Pruning

40 alts after pruning (30 fresh and 10 done)

PrunedKeptTotal
New74919768
Fresh101121
Picked145
Done066
Total76040800
Accuracy
99.9%
Counts
800 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
97.0%
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
54.0%
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
52.2%
(-.f64 (cos.f64 x) #s(literal 1 binary64))
52.0%
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
78.1%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
78.0%
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
78.0%
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
3.9%
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
22.9%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps)))
22.0%
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps)))))
77.3%
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
53.3%
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
79.1%
(*.f64 (sin.f64 x) (neg.f64 eps))
31.2%
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
78.0%
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
78.0%
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
51.9%
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
52.0%
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
78.0%
(*.f64 x (neg.f64 eps))
78.9%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
98.2%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
97.8%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
97.7%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
97.8%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
99.7%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
97.6%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
99.3%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
98.2%
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
97.2%
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
97.2%
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
96.9%
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
97.6%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
96.9%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
96.8%
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
98.8%
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
96.8%
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
52.3%
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
46.1%
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))))
53.2%
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Compiler

Compiled 1 932 to 741 computations (61.6% saved)

regimes47.0ms (0.2%)

Memory
11.3MiB live, 50.2MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps)))))
(*.f64 eps (*.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps)))))))
(-.f64 (fma.f64 (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))))) (cos.f64 x))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (sin.f64 (neg.f64 x))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (*.f64 (/.f64 (sin.f64 x) eps) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 eps eps))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 eps eps))) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) (/.f64 (sin.f64 x) (*.f64 eps (*.f64 eps eps)))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (/.f64 (-.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) eps)))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
Calls

3 calls:

15.0ms
x
15.0ms
eps
14.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (0.2%)

Memory
-33.5MiB live, 45.7MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) x))) (sin.f64 (neg.f64 x))))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
Calls

3 calls:

14.0ms
x
13.0ms
eps
11.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.2%)

Memory
3.3MiB live, 45.7MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
Outputs
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
Calls

3 calls:

14.0ms
x
13.0ms
eps
10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
99.3%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.2%)

Memory
-4.8MiB live, 32.0MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (sin.f64 x)))
Outputs
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
Calls

3 calls:

17.0ms
x
13.0ms
eps
10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
98.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.2%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/24 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) #s(literal 1 binary64)))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
Calls

3 calls:

12.0ms
x
12.0ms
eps
10.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes32.0ms (0.2%)

Memory
-3.1MiB live, 34.5MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
Calls

3 calls:

12.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
10.0ms
x
10.0ms
eps
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
98.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.1%)

Memory
2.8MiB live, 41.6MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 x) #s(literal 1 binary64))
(-.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
Calls

3 calls:

11.0ms
x
9.0ms
eps
8.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.4%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
97.4%1x
97.4%1eps
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.1%)

Memory
-21.8MiB live, 24.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal -1/6 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))))
Outputs
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
Calls

3 calls:

9.0ms
eps
8.0ms
x
6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
97.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
Outputs
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
Calls

3 calls:

7.0ms
x
7.0ms
eps
6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
97.2%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x x)) eps) (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
Outputs
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
Calls

3 calls:

6.0ms
x
6.0ms
eps
5.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.1%1eps
97.1%1x
97.1%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
-29.4MiB live, 10.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 eps #s(literal 1/6 binary64)) (/.f64 eps (*.f64 x x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (neg.f64 eps))
(*.f64 eps (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 eps (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/24 binary64)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (fma.f64 x #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)) eps))))
Outputs
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
Calls

3 calls:

7.0ms
eps
6.0ms
x
5.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
97.0%1x
97.0%1eps
97.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
Outputs
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
Calls

3 calls:

4.0ms
x
4.0ms
eps
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.9%1eps
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
Outputs
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
Calls

3 calls:

4.0ms
x
4.0ms
eps
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
96.8%1x
96.8%1eps
96.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 eps x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) (neg.f64 eps))
Outputs
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
Calls

3 calls:

4.0ms
x
4.0ms
eps
3.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
96.8%1eps
96.8%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
96.8%1x
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 x (neg.f64 eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
Outputs
(*.f64 x (neg.f64 eps))
Calls

3 calls:

2.0ms
eps
2.0ms
x
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
78.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
78.0%1x
78.0%1eps
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
eps
1.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
AccuracySegmentsBranch
52.0%1x
52.0%1eps
52.0%1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify10.0ms (0.1%)

Memory
-34.3MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Rules
80×*-commutative_binary64
18×+-commutative_binary64
16×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083287
1132287
2146287
3153287
4156287
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (neg.f64 eps))
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
Outputs
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 x eps) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps x) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)))) #s(literal -1 binary64))) (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 eps (*.f64 eps #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 eps #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(fma.f64 x (neg.f64 eps) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 x eps) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) #s(literal -1/2 binary64))) x))
(*.f64 eps (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 x (neg.f64 eps))
(neg.f64 (*.f64 eps x))
(+.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))

soundness1.3s (6.3%)

Memory
28.2MiB live, 28.2MiB allocated
Rules
14 398×lower-fma.f64
14 398×lower-fma.f32
14 158×lower-fma.f64
14 158×lower-fma.f32
13 190×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05146052
117155861
257215375
082604938
03203280
19803176
231093061
080922858
03432435
110202379
227722346
372322346
084272178
0105498
1277495
2609495
32401494
47937494
08087474
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 476 to 223 computations (53.2% saved)

preprocess154.0ms (0.8%)

Memory
9.1MiB live, 89.0MiB allocated
Compiler

Compiled 664 to 228 computations (65.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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