2sin (example 3.3)

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze44.0ms (0.4%)

Memory
-16.5MiB live, 59.3MiB 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)

sample6.7s (55.6%)

Memory
-177.8MiB live, 6 086.5MiB allocated
Samples
3.7s25 762×0invalid
660.0ms2 732×1valid
655.0ms5 524×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
const: 874.0ms (25.7% of total)
ival-sin: 734.0ms (21.6% of total)
ival-<=: 322.0ms (9.5% of total)
ival-<: 271.0ms (8% of total)
ival-fabs: 259.0ms (7.6% of total)
ival-mult: 246.0ms (7.2% of total)
ival-add: 232.0ms (6.8% of total)
ival-sub: 208.0ms (6.1% of total)
ival-and: 110.0ms (3.2% of total)
adjust: 84.0ms (2.5% of total)
exact: 51.0ms (1.5% of total)
ival-assert: 13.0ms (0.4% of total)
Bogosity

explain111.0ms (0.9%)

Memory
-3.3MiB live, 117.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2246(5.4130600052629094e-154 4.3236115264724973e-156)3(7.650697013324092e-171 1.1824122930459035e-172)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
30-0-(sin.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))cancellation2278
sin.f64(sin.f64 (+.f64 x eps))sensitivity31
Confusion
Predicted +Predicted -
+2224
-624
Precision
0.9736842105263158
Recall
0.9823008849557522
Confusion?
Predicted +Predicted MaybePredicted -
+22240
-6519
Precision?
0.9535864978902954
Recall?
1.0
Freqs
test
numberfreq
028
1226
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
26.0ms190×1valid
17.0ms320×0valid
1.0ms2valid
Compiler

Compiled 83 to 34 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 13.0ms (55.5% of total)
adjust: 4.0ms (17.1% of total)
ival-add: 3.0ms (12.8% of total)
ival-sub: 3.0ms (12.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess24.0ms (0.2%)

Memory
-13.2MiB live, 24.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01839
13835
28635
316935
431035
536735
644535
748235
849135
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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(+.f64 x eps)
cost-diff0
(sin.f64 (+.f64 x eps))
cost-diff0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(+.f64 x eps)
(+.f64 eps x)
x
eps
(sin.f64 x)

localize23.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x eps)
accuracy0
(sin.f64 x)
accuracy0.11659089903970274
(sin.f64 (+.f64 x eps))
accuracy25.067190041653237
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Samples
10.0ms95×1valid
8.0ms160×0valid
0.0ms2valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (49.8% of total)
adjust: 2.0ms (19.9% of total)
ival-add: 2.0ms (19.9% of total)
ival-sub: 2.0ms (19.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-33.0MiB live, 4.4MiB allocated
Counts
4 → 31
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 x)
Outputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
eps
(+ eps x)
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 (+ eps x)) (sin x))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(sin x)
(- (sin (- eps (* -1 x))) (sin x))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* eps (+ 1 (/ x eps)))
(- (sin (- x (* -1 eps))) (sin x))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x))
1.0ms
x
@0
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x))
1.0ms
eps
@inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x))
1.0ms
eps
@0
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x))
1.0ms
eps
@-inf
((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) (sin x))

simplify145.0ms (1.2%)

Memory
29.0MiB live, 103.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107291
1314291
2779284
32842284
46177284
08125253
Stop Event
iter limit
node limit
Counts
31 → 29
Calls
Call 1
Inputs
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
eps
(+ eps x)
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 (+ eps x)) (sin x))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(sin x)
(- (sin (- eps (* -1 x))) (sin x))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (cos x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(* eps (+ 1 (/ x eps)))
(- (sin (- x (* -1 eps))) (sin x))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
Outputs
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (cos eps)))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) x (sin.f64 eps))
eps
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(- (sin (+ eps x)) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin (+ eps x))
(sin.f64 (+.f64 eps x))
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(sin x)
(sin.f64 x)
(- (sin (- eps (* -1 x))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin (- eps (* -1 x)))
(sin.f64 (+.f64 eps x))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps)
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(*.f64 (fma.f64 (fma.f64 (sin.f64 x) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps)) eps (cos.f64 x)) eps)
(+ (sin x) (* eps (cos x)))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps (sin.f64 x))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) eps (cos.f64 x)) eps (sin.f64 x))
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)

rewrite163.0ms (1.4%)

Memory
-10.5MiB live, 101.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
15316
238016
3476616
0821016
Stop Event
iter limit
node limit
iter limit
Counts
4 → 214
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 x)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (/.f64 (+.f64 #s(literal 0 binary64) eps) #s(literal -2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))))
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(fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 (+.f64 eps x))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))) (*.f64 (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x eps))))
(-.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))) (*.f64 (cos.f64 (*.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))))))
(+.f64 (*.f64 (sin.f64 (*.f64 x (/.f64 x (-.f64 x eps)))) (cos.f64 (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))) (*.f64 (cos.f64 (*.f64 x (/.f64 x (-.f64 x eps)))) (sin.f64 (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 eps eps (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 eps x) eps)))
(*.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 eps x) eps) (-.f64 (*.f64 (-.f64 eps x) eps) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x))
(*.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (pow.f64 (-.f64 eps x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (*.f64 (-.f64 x eps) (+.f64 eps x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(*.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (pow.f64 (neg.f64 (-.f64 x eps)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (*.f64 (+.f64 eps x) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(*.f64 (+.f64 eps x) (*.f64 (-.f64 x eps) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 eps eps (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (-.f64 x eps) #s(literal -1 binary64))) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal -3 binary64))) (*.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (-.f64 x eps) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (*.f64 x x)) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (pow.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (-.f64 x eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (*.f64 eps x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (*.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x eps) #s(literal -1 binary64)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 eps x)
(+.f64 x eps)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 eps x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))

eval48.0ms (0.4%)

Memory
12.2MiB live, 55.6MiB allocated
Compiler

Compiled 6 283 to 852 computations (86.4% saved)

prune10.0ms (0.1%)

Memory
-17.5MiB live, 19.6MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2269235
Fresh000
Picked011
Done000
Total22610236
Accuracy
100.0%
Counts
236 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.3%
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
36.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
99.8%
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
99.0%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
98.7%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
Compiler

Compiled 303 to 204 computations (32.7% saved)

simplify136.0ms (1.1%)

Memory
10.2MiB live, 85.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 eps x)
cost-diff0
(sin.f64 (+.f64 eps x))
cost-diff0
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))
cost-diff20288
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
cost-diff0
(cos.f64 x)
cost-diff0
(sin.f64 eps)
cost-diff0
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
cost-diff6400
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
cost-diff0
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
cost-diff0
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
cost-diff0
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
cost-diff0
(sin.f64 eps)
cost-diff0
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
cost-diff0
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
cost-diff192
(+.f64 #s(literal 0 binary64) eps)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039211
069201
1113189
2223187
3406187
4650187
51521187
63052187
74772187
86307187
96868187
107306187
117793187
08100187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))
#s(literal 1/2 binary64)
(+.f64 #s(literal 0 binary64) eps)
#s(literal 0 binary64)
eps
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(literal -2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(sin.f64 x)
x
#s(literal -1/2 binary64)
eps
(cos.f64 x)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(cos.f64 eps)
(sin.f64 x)
(neg.f64 (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
eps
x
(sin.f64 (-.f64 x eps))
(-.f64 x eps)
(pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (sin.f64 x))
(sin.f64 x)
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 0 binary64) eps)
eps
#s(literal 0 binary64)
eps
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
#s(literal -2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(sin.f64 x)
x
#s(literal -1/2 binary64)
eps
(cos.f64 x)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
(sin.f64 eps)
eps
(cos.f64 x)
x
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 x))
(cos.f64 eps)
(sin.f64 x)
(neg.f64 (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))
(*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(+.f64 eps x)
(+.f64 x eps)
eps
x
(sin.f64 (-.f64 x eps))
(-.f64 x eps)
(pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (sin.f64 x))
(sin.f64 x)

localize236.0ms (2%)

Memory
24.1MiB live, 299.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11659089903970274
(sin.f64 (+.f64 eps x))
accuracy0.14374938459456219
(sin.f64 (-.f64 x eps))
accuracy0.2109375
(pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64))
accuracy40.58914190290273
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
accuracy0
(cos.f64 x)
accuracy0
(cos.f64 eps)
accuracy0.0078125
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
accuracy22.42661635599399
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
accuracy0
(sin.f64 x)
accuracy0
(cos.f64 x)
accuracy0.0078125
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
accuracy0.6457364923757021
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
accuracy0
(sin.f64 eps)
accuracy1.7867961863371942
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
accuracy0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))
accuracy0
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
accuracy0.0078125
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
accuracy0.12592680321714567
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
Samples
133.0ms222×1valid
47.0ms26×2valid
7.0ms3valid
2.0ms0valid
Compiler

Compiled 420 to 82 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-sin: 52.0ms (34.2% of total)
ival-mult: 31.0ms (20.4% of total)
adjust: 26.0ms (17.1% of total)
ival-add: 15.0ms (9.9% of total)
ival-cos: 10.0ms (6.6% of total)
ival-pow: 8.0ms (5.3% of total)
ival-sub: 3.0ms (2% of total)
ival-div: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
3.0MiB live, 39.1MiB allocated
Counts
23 → 132
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) eps)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(cos.f64 x)
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))
(sin.f64 x)
(cos.f64 eps)
(pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64))
(sin.f64 (-.f64 x eps))
Outputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* x (- (cos eps) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 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)))
(* (sin eps) (sin (neg eps)))
(+ (* x (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps)))) (* (sin eps) (sin (neg eps))))
(+ (* x (+ (* x (+ (* -1 (* (sin eps) (sin (neg eps)))) (* (cos eps) (cos (neg eps))))) (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps))))) (* (sin eps) (sin (neg eps))))
(+ (* x (+ (* x (+ (* -1 (* (sin eps) (sin (neg eps)))) (+ (* x (+ (* -1/2 (* (cos eps) (sin (neg eps)))) (+ (* -1/2 (* (cos (neg eps)) (sin eps))) (+ (* -1/6 (* (cos eps) (sin (neg eps)))) (* -1/6 (* (cos (neg eps)) (sin eps))))))) (* (cos eps) (cos (neg eps)))))) (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps))))) (* (sin eps) (sin (neg eps))))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+ eps x)
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 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))))
(/ 1 (sin (neg eps)))
(+ (* -1 (/ (* x (cos (neg eps))) (pow (sin (neg eps)) 2))) (/ 1 (sin (neg eps))))
(+ (* x (- (* x (- (* 1/2 (/ 1 (sin (neg eps)))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (/ (cos (neg eps)) (pow (sin (neg eps)) 2)))) (/ 1 (sin (neg eps))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (cos (neg eps)) (pow (sin (neg eps)) 2))) (+ (* 1/2 (/ (cos (neg eps)) (pow (sin (neg eps)) 2))) (/ (* (cos (neg eps)) (- (* 1/2 (/ 1 (sin (neg eps)))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (sin (neg eps))))))) (* 1/2 (/ 1 (sin (neg eps))))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (/ (cos (neg eps)) (pow (sin (neg eps)) 2)))) (/ 1 (sin (neg eps))))
(sin (neg eps))
(+ (sin (neg eps)) (* x (cos (neg eps))))
(+ (sin (neg eps)) (* x (+ (cos (neg eps)) (* -1/2 (* x (sin (neg eps)))))))
(+ (sin (neg eps)) (* x (+ (cos (neg eps)) (* x (+ (* -1/2 (sin (neg eps))) (* -1/6 (* x (cos (neg eps)))))))))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(cos x)
(* (sin (+ eps x)) (sin (- x eps)))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(cos (* -1/2 (+ eps (* 2 x))))
(sin x)
(/ 1 (sin (- x eps)))
(sin (- x eps))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(- (sin (- eps (* -1 x))) (sin x))
(* (sin (neg (+ eps (* -1 x)))) (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos (* -1/2 (- eps (* -2 x))))
(/ 1 (sin (neg (+ eps (* -1 x)))))
(sin (neg (+ eps (* -1 x))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* eps (cos x))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* 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))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
(pow (sin x) 2)
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (sin x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (cos x) 2)) (* -1 (pow (sin x) 2)))) (* (cos x) (sin x))))) (pow (sin x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (cos x) 2)) (+ (* -1 (pow (sin x) 2)) (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (+ (* 1/6 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x)))))))))) (* (cos x) (sin x))))) (pow (sin x) 2))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(+ 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)))
(/ 1 (sin x))
(+ (/ 1 (sin x)) (/ (* eps (cos x)) (pow (sin x) 2)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (cos x) (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (sin x))) (+ (* -1/2 (/ (cos x) (pow (sin x) 2))) (* 1/6 (/ (cos x) (pow (sin x) 2))))))) (* 1/2 (/ 1 (sin x)))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(+ (sin x) (* -1 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (sin x)) (* 1/6 (* eps (cos x))))))))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ 1 (/ x eps)))
(cos eps)
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* (sin (+ x (* -1 eps))) (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(/ 1 (sin (+ x (* -1 eps))))
(sin (+ x (* -1 eps)))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((+ 0 eps) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (sin (* 1/2 (+ 0 eps))) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (* (sin x) -1/2) (+ (* (cos eps) (sin x)) (neg (sin x))) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (neg (sin x)))) (cos x) (+ (* (* (sin (+ eps x)) (sin (- x eps))) (pow (sin (- x eps)) -1)) (neg (sin x))) (* (sin (+ eps x)) (sin (- x eps))) (sin (+ eps x)) (+ eps x) (cos (/ (+ (* 2 x) eps) -2)) (* 1/2 (+ 0 eps)) (sin x) (cos eps) (pow (sin (- x eps)) -1) (sin (- x eps)))
6.0ms
eps
@0
((+ 0 eps) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (sin (* 1/2 (+ 0 eps))) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (* (sin x) -1/2) (+ (* (cos eps) (sin x)) (neg (sin x))) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (neg (sin x)))) (cos x) (+ (* (* (sin (+ eps x)) (sin (- x eps))) (pow (sin (- x eps)) -1)) (neg (sin x))) (* (sin (+ eps x)) (sin (- x eps))) (sin (+ eps x)) (+ eps x) (cos (/ (+ (* 2 x) eps) -2)) (* 1/2 (+ 0 eps)) (sin x) (cos eps) (pow (sin (- x eps)) -1) (sin (- x eps)))
5.0ms
eps
@-inf
((+ 0 eps) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (sin (* 1/2 (+ 0 eps))) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (* (sin x) -1/2) (+ (* (cos eps) (sin x)) (neg (sin x))) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (neg (sin x)))) (cos x) (+ (* (* (sin (+ eps x)) (sin (- x eps))) (pow (sin (- x eps)) -1)) (neg (sin x))) (* (sin (+ eps x)) (sin (- x eps))) (sin (+ eps x)) (+ eps x) (cos (/ (+ (* 2 x) eps) -2)) (* 1/2 (+ 0 eps)) (sin x) (cos eps) (pow (sin (- x eps)) -1) (sin (- x eps)))
4.0ms
x
@0
((+ 0 eps) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (sin (* 1/2 (+ 0 eps))) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (* (sin x) -1/2) (+ (* (cos eps) (sin x)) (neg (sin x))) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (neg (sin x)))) (cos x) (+ (* (* (sin (+ eps x)) (sin (- x eps))) (pow (sin (- x eps)) -1)) (neg (sin x))) (* (sin (+ eps x)) (sin (- x eps))) (sin (+ eps x)) (+ eps x) (cos (/ (+ (* 2 x) eps) -2)) (* 1/2 (+ 0 eps)) (sin x) (cos eps) (pow (sin (- x eps)) -1) (sin (- x eps)))
4.0ms
x
@-inf
((+ 0 eps) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (sin (* 1/2 (+ 0 eps))) (- (sin (+ x eps)) (sin x)) (sin eps) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (* (sin x) -1/2) (+ (* (cos eps) (sin x)) (neg (sin x))) (+ (* (sin eps) (cos x)) (+ (* (cos eps) (sin x)) (neg (sin x)))) (cos x) (+ (* (* (sin (+ eps x)) (sin (- x eps))) (pow (sin (- x eps)) -1)) (neg (sin x))) (* (sin (+ eps x)) (sin (- x eps))) (sin (+ eps x)) (+ eps x) (cos (/ (+ (* 2 x) eps) -2)) (* 1/2 (+ 0 eps)) (sin x) (cos eps) (pow (sin (- x eps)) -1) (sin (- x eps)))

simplify169.0ms (1.4%)

Memory
-3.0MiB live, 152.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05471967
117061802
249731730
080931585
Stop Event
iter limit
node limit
Counts
132 → 130
Calls
Call 1
Inputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(* -1/2 x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(* x (- (cos eps) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (* 1/120 (cos eps)) 1/120)))))) 1))
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (+ (* -1/6 (cos eps)) (* (pow x 2) (- (+ (* 1/120 (cos eps)) (* (pow x 2) (+ 1/5040 (* -1/5040 (cos eps))))) 1/120)))))) 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)))
(* (sin eps) (sin (neg eps)))
(+ (* x (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps)))) (* (sin eps) (sin (neg eps))))
(+ (* x (+ (* x (+ (* -1 (* (sin eps) (sin (neg eps)))) (* (cos eps) (cos (neg eps))))) (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps))))) (* (sin eps) (sin (neg eps))))
(+ (* x (+ (* x (+ (* -1 (* (sin eps) (sin (neg eps)))) (+ (* x (+ (* -1/2 (* (cos eps) (sin (neg eps)))) (+ (* -1/2 (* (cos (neg eps)) (sin eps))) (+ (* -1/6 (* (cos eps) (sin (neg eps)))) (* -1/6 (* (cos (neg eps)) (sin eps))))))) (* (cos eps) (cos (neg eps)))))) (+ (* (cos eps) (sin (neg eps))) (* (cos (neg eps)) (sin eps))))) (* (sin eps) (sin (neg eps))))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(+ eps x)
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 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))))
(/ 1 (sin (neg eps)))
(+ (* -1 (/ (* x (cos (neg eps))) (pow (sin (neg eps)) 2))) (/ 1 (sin (neg eps))))
(+ (* x (- (* x (- (* 1/2 (/ 1 (sin (neg eps)))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (/ (cos (neg eps)) (pow (sin (neg eps)) 2)))) (/ 1 (sin (neg eps))))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/6 (/ (cos (neg eps)) (pow (sin (neg eps)) 2))) (+ (* 1/2 (/ (cos (neg eps)) (pow (sin (neg eps)) 2))) (/ (* (cos (neg eps)) (- (* 1/2 (/ 1 (sin (neg eps)))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (sin (neg eps))))))) (* 1/2 (/ 1 (sin (neg eps))))) (* -1 (/ (pow (cos (neg eps)) 2) (pow (sin (neg eps)) 3))))) (/ (cos (neg eps)) (pow (sin (neg eps)) 2)))) (/ 1 (sin (neg eps))))
(sin (neg eps))
(+ (sin (neg eps)) (* x (cos (neg eps))))
(+ (sin (neg eps)) (* x (+ (cos (neg eps)) (* -1/2 (* x (sin (neg eps)))))))
(+ (sin (neg eps)) (* x (+ (cos (neg eps)) (* x (+ (* -1/2 (sin (neg eps))) (* -1/6 (* x (cos (neg eps)))))))))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* -1/2 (sin x))
(- (* (cos eps) (sin x)) (sin x))
(- (+ (* (cos eps) (sin x)) (* (cos x) (sin eps))) (sin x))
(cos x)
(* (sin (+ eps x)) (sin (- x eps)))
(sin (+ eps x))
(* x (+ 1 (/ eps x)))
(cos (* -1/2 (+ eps (* 2 x))))
(sin x)
(/ 1 (sin (- x eps)))
(sin (- x eps))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(- (sin (- eps (* -1 x))) (sin x))
(* (sin (neg (+ eps (* -1 x)))) (sin (- eps (* -1 x))))
(sin (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(cos (* -1/2 (- eps (* -2 x))))
(/ 1 (sin (neg (+ eps (* -1 x)))))
(sin (neg (+ eps (* -1 x))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(* eps (cos x))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(* 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))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* 1/24 (* (pow eps 2) (sin x)))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/720 (* (pow eps 2) (sin x))) (* 1/24 (sin x))))))
(* (pow eps 2) (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/24 (sin x)) (* (pow eps 2) (+ (* -1/720 (sin x)) (* 1/40320 (* (pow eps 2) (sin x)))))))))
(pow (sin x) 2)
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* (cos x) (sin x)))) (pow (sin x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (cos x) 2)) (* -1 (pow (sin x) 2)))) (* (cos x) (sin x))))) (pow (sin x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (+ (* eps (+ (* -1 (pow (cos x) 2)) (+ (* -1 (pow (sin x) 2)) (* eps (+ (* -1/2 (* (cos x) (sin x))) (+ (* -1/6 (* (cos x) (sin x))) (+ (* 1/6 (* (cos x) (sin x))) (* 1/2 (* (cos x) (sin x)))))))))) (* (cos x) (sin x))))) (pow (sin x) 2))
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(+ 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)))
(/ 1 (sin x))
(+ (/ 1 (sin x)) (/ (* eps (cos x)) (pow (sin x) 2)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (cos x) (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (sin x))) (+ (* -1/2 (/ (cos x) (pow (sin x) 2))) (* 1/6 (/ (cos x) (pow (sin x) 2))))))) (* 1/2 (/ 1 (sin x)))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(+ (sin x) (* -1 (* eps (cos x))))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (sin x)) (* 1/6 (* eps (cos x))))))))
(* 2 (sin (* 1/2 eps)))
(sin (* 1/2 eps))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (+ 1 (/ x eps)))
(cos eps)
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* (sin (+ x (* -1 eps))) (sin (- x (* -1 eps))))
(sin (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(/ 1 (sin (+ x (* -1 eps))))
(sin (+ x (* -1 eps)))
Outputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64)))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64) (*.f64 (*.f64 x x) (fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 eps eps) x)) x)) x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/12 (pow x 2)) 1/2))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (*.f64 x x) #s(literal -1/240 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (- (cos eps) 1))
(*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x)
(* x (- (+ (cos eps) (* (pow x 2) (+ 1/6 (* -1/6 (cos eps))))) 1))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x)
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(/.f64 #s(literal 1 binary64) (sin.f64 x))
(+ (/ 1 (sin x)) (/ (* eps (cos x)) (pow (sin x) 2)))
(fma.f64 (cos.f64 x) (/.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (cos x) (- (* 1/2 (/ 1 (sin x))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (sin x))) (+ (* -1/2 (/ (cos x) (pow (sin x) 2))) (* 1/6 (/ (cos x) (pow (sin x) 2))))))) (* 1/2 (/ 1 (sin x)))) (* -1 (/ (pow (cos x) 2) (pow (sin x) 3))))) (* -1 (/ (cos x) (pow (sin x) 2))))) (/ 1 (sin x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 x))) (sin.f64 x)) (neg.f64 (cos.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal -1/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 x)))) eps (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) eps (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+ (sin x) (* -1 (* eps (cos x))))
(fma.f64 (neg.f64 eps) (cos.f64 x) (sin.f64 x))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* -1/2 (* eps (sin x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (neg.f64 (cos.f64 x))) eps (sin.f64 x))
(+ (sin x) (* eps (+ (* -1 (cos x)) (* eps (+ (* -1/2 (sin x)) (* 1/6 (* eps (cos x))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (neg.f64 (cos.f64 x))) eps (sin.f64 x))
(* 2 (sin (* 1/2 eps)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sin (* 1/2 eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) eps)
(* -1/2 (* eps (sin x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(cos eps)
(cos.f64 eps)
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps)
(* (sin (+ x (* -1 eps))) (sin (- x (* -1 eps))))
(*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))
(sin (- x (* -1 eps)))
(sin.f64 (+.f64 x eps))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(/ 1 (sin (+ x (* -1 eps))))
(/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps)))
(sin (+ x (* -1 eps)))
(sin.f64 (-.f64 x eps))

rewrite220.0ms (1.8%)

Memory
5.5MiB live, 218.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039169
069153
1256142
22132142
010138142
Stop Event
iter limit
node limit
iter limit
Counts
23 → 490
Calls
Call 1
Inputs
(+.f64 #s(literal 0 binary64) eps)
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(sin.f64 eps)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
(*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps)
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x))
(*.f64 (sin.f64 x) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(cos.f64 x)
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))
(sin.f64 (+.f64 eps x))
(+.f64 eps x)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))
(sin.f64 x)
(cos.f64 eps)
(pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64))
(sin.f64 (-.f64 x eps))
Outputs
(*.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal -2 binary64)))
(pow.f64 (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps))) #s(literal -1 binary64))
(pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 eps #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 eps)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (*.f64 eps eps))
(/.f64 (neg.f64 (neg.f64 (*.f64 eps eps))) (neg.f64 (neg.f64 eps)))
(/.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (*.f64 eps eps) (-.f64 eps #s(literal 0 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 eps eps))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (neg.f64 (*.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))
(fma.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal -2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 (*.f64 eps eps) (neg.f64 eps)))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
eps
(*.f64 (*.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) eps) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 eps) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps))) (cos.f64 (/.f64 (*.f64 eps eps) (neg.f64 eps)))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps))) (sin.f64 (/.f64 (*.f64 eps eps) (neg.f64 eps)))))
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (sin.f64 eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps)
(*.f64 eps (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))))
(/.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))) (neg.f64 eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))) (*.f64 eps eps))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x)))
(/.f64 (*.f64 eps (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 eps eps))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x)) (neg.f64 eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x)) (*.f64 eps eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (*.f64 eps eps))) (*.f64 (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))) (neg.f64 eps)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))) (*.f64 eps eps)))
(/.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (neg.f64 eps) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 eps eps) (fma.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) eps (*.f64 (cos.f64 x) eps))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) eps))
(fma.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))))
(fma.f64 eps (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) #s(literal 0 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)))
(fma.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) eps) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps) eps))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (cos.f64 x)) eps))
(+.f64 (*.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps)) (*.f64 eps (cos.f64 x)))
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(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))
(exp.f64 (log.f64 (sin.f64 (-.f64 x eps))))

eval142.0ms (1.2%)

Memory
-22.3MiB live, 128.8MiB allocated
Compiler

Compiled 21 888 to 2 442 computations (88.8% saved)

prune23.0ms (0.2%)

Memory
5.0MiB live, 43.6MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New65214666
Fresh224
Picked325
Done011
Total65719676
Accuracy
100.0%
Counts
676 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
99.8%
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
99.7%
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (cos eps) (sin x)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
36.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.7%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
99.6%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
99.4%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
99.0%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
99.0%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
98.4%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
98.7%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
99.8%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Compiler

Compiled 833 to 581 computations (30.3% saved)

simplify182.0ms (1.5%)

Memory
-0.2MiB live, 119.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 eps x)
cost-diff0
(sin.f64 (-.f64 eps x))
cost-diff0
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
cost-diff0
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
cost-diff0
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
cost-diff128
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
cost-diff576
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 (cos.f64 x) eps)
cost-diff0
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
cost-diff0
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
cost-diff0
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
cost-diff0
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
cost-diff128
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062333
095323
1152323
2304323
3562323
4934323
51203323
61683323
72779323
84490321
95397321
105549321
116002321
127428321
137675321
08023311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
x
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
eps
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
x
#s(literal -2 binary64)
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
(sin.f64 (-.f64 eps x))
(-.f64 eps x)
eps
x
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(sin.f64 x)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(cos.f64 eps)
#s(literal -1 binary64)
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal -2 binary64)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
x
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
eps
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
x
eps
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))
#s(literal 1/3840 binary64)
(*.f64 eps eps)
eps
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
x
#s(literal -2 binary64)
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))
(sin.f64 (-.f64 eps x))
(-.f64 eps x)
eps
x
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 x))
(sin.f64 x)
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(cos.f64 eps)
#s(literal -1 binary64)

localize335.0ms (2.8%)

Memory
-0.6MiB live, 356.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11659089903970274
(sin.f64 (+.f64 x eps))
accuracy0.14374938459456219
(sin.f64 (-.f64 eps x))
accuracy25.007338800042508
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
accuracy30.32293529433152
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
accuracy0.0078125
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
accuracy0.12592680321714567
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
accuracy0.17670095803136265
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
accuracy0
(cos.f64 x)
accuracy0.00390625
(*.f64 (cos.f64 x) eps)
accuracy0.8576912026583888
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
accuracy0
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
accuracy0.6457364923757021
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
accuracy1.8046331883375046
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
accuracy0
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
accuracy0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
accuracy0.0078125
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
accuracy0.12592680321714567
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
Samples
210.0ms160×2valid
62.0ms89×1valid
4.0ms3valid
2.0ms0valid
Compiler

Compiled 601 to 119 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
adjust: 70.0ms (31.6% of total)
ival-mult: 48.0ms (21.7% of total)
ival-cos: 31.0ms (14% of total)
const: 25.0ms (11.3% of total)
ival-add: 18.0ms (8.1% of total)
ival-sin: 18.0ms (8.1% of total)
ival-sub: 6.0ms (2.7% of total)
ival-div: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
30.8MiB live, 68.5MiB allocated
Counts
23 → 151
Calls
Call 1
Inputs
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
(sin.f64 (-.f64 eps x))
(-.f64 eps x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(sin.f64 (+.f64 x eps))
Outputs
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(* 2 (cos (* -1/2 eps)))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ 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)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(* 2 (sin eps))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* -1 (* x (sin eps)))))))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/6 (cos eps)) (* 1/6 (cos eps))))))))))
(+ (sin eps) (* -1 (* x (cos eps))))
(+ (sin eps) (* x (+ (* -1 (cos eps)) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (* -1 (cos eps)) (* x (+ (* -1/2 (sin eps)) (* 1/6 (* x (cos eps))))))))
(+ eps (* -1 x))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(cos (- (* -1/2 eps) x))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (- (* -1/2 eps) x)) (sin (* 1/2 eps))))
(* 2 (cos (- (* -1/2 eps) x)))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* eps (cos x))
(cos x)
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(cos (* -1/2 (+ eps (* 2 x))))
(+ (* 1/2 (+ (sin (+ eps x)) (sin (- eps x)))) (* (sin x) (- (cos eps) 1)))
(+ (sin (+ eps x)) (sin (- eps x)))
(sin (- eps x))
(* x (- (/ eps x) 1))
(sin (+ eps x))
(cos (+ (* -1 x) (* -1/2 eps)))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (+ (* -1 x) (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ (* -1 x) (* -1/2 eps))))
(- (sin (- eps (* -1 x))) (sin x))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(cos (* -1/2 (- eps (* -2 x))))
(+ (* 1/2 (+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))) (* (sin x) (- (cos eps) 1)))
(+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))
(sin (+ eps (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ eps x)))))
(sin (- eps (* -1 x)))
(cos (neg x))
(+ (cos (neg x)) (* 1/2 (* eps (sin (neg x)))))
(+ (cos (neg x)) (* eps (- (* -1/8 (* eps (cos (neg x)))) (* -1/2 (sin (neg x))))))
(+ (cos (neg x)) (* eps (- (* eps (+ (* -1/8 (cos (neg x))) (* -1/48 (* eps (sin (neg x)))))) (* -1/2 (sin (neg x))))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (cos (neg x)))
(* eps (+ (cos (neg x)) (* 1/2 (* eps (sin (neg x))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* 2 (* eps (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x))))))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* eps (+ (* -1/24 (* eps (sin (neg x)))) (* 2 (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x)))))))))))
(* 2 (cos (neg x)))
(+ (* 2 (cos (neg x))) (* eps (sin (neg x))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* -1/4 (* eps (cos (neg x)))))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* eps (+ (* -1/4 (cos (neg x))) (* -1/24 (* eps (sin (neg x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 (+ (sin x) (sin (neg x))))
(+ (* 1/2 (* eps (+ (cos x) (cos (neg x))))) (* 1/2 (+ (sin x) (sin (neg x)))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (+ (* 1/2 (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x)))))))))))
(+ (sin x) (sin (neg x)))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (cos (neg x))))))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (+ (cos (neg x)) (* eps (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (+ (cos (neg x)) (* eps (+ (* -1/2 (sin x)) (+ (* -1/2 (sin (neg x))) (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))))))))))
(sin (neg x))
(+ (sin (neg x)) (* eps (cos (neg x))))
(+ (sin (neg x)) (* eps (+ (cos (neg x)) (* -1/2 (* eps (sin (neg x)))))))
(+ (sin (neg x)) (* eps (+ (cos (neg x)) (* eps (+ (* -1/2 (sin (neg x))) (* -1/6 (* eps (cos (neg x)))))))))
(- eps x)
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
-1/48
(- (* 1/3840 (pow eps 2)) 1/48)
(* -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))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(cos (neg (+ x (* 1/2 eps))))
(* 2 (* (cos (neg (+ x (* 1/2 eps)))) (sin (* 1/2 eps))))
(* 2 (cos (neg (+ x (* 1/2 eps)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (- (* -1 (/ x eps)) 1/2))
(* 2 (sin (* 1/2 eps)))
(* eps (+ 1 (* -1 (/ x eps))))
(sin (* 1/2 eps))
(* 1/3840 (pow eps 2))
(* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(- (cos eps) 1)
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(+ (* 1/2 (+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))) (* (sin x) (- (cos eps) 1)))
(+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))
(sin (neg (+ x (* -1 eps))))
(* -1 (* eps (- (/ x eps) 1)))
(sin (- x (* -1 eps)))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
eps
@0
((cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (+ (* 2 x) eps) -2) (cos (/ (+ (* 2 x) eps) -2)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (+ (sin (- eps x)) (sin (+ x eps))) (sin (- eps x)) (- eps x) (sin (* 1/2 eps)) (sin (* 1/2 (+ 0 eps))) (+ (* 1/3840 (* eps eps)) -1/48) (+ (cos eps) -1) (sin (+ x eps)))
4.0ms
eps
@-inf
((cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (+ (* 2 x) eps) -2) (cos (/ (+ (* 2 x) eps) -2)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (+ (sin (- eps x)) (sin (+ x eps))) (sin (- eps x)) (- eps x) (sin (* 1/2 eps)) (sin (* 1/2 (+ 0 eps))) (+ (* 1/3840 (* eps eps)) -1/48) (+ (cos eps) -1) (sin (+ x eps)))
4.0ms
eps
@inf
((cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (+ (* 2 x) eps) -2) (cos (/ (+ (* 2 x) eps) -2)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (+ (sin (- eps x)) (sin (+ x eps))) (sin (- eps x)) (- eps x) (sin (* 1/2 eps)) (sin (* 1/2 (+ 0 eps))) (+ (* 1/3840 (* eps eps)) -1/48) (+ (cos eps) -1) (sin (+ x eps)))
4.0ms
x
@inf
((cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (+ (* 2 x) eps) -2) (cos (/ (+ (* 2 x) eps) -2)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (+ (sin (- eps x)) (sin (+ x eps))) (sin (- eps x)) (- eps x) (sin (* 1/2 eps)) (sin (* 1/2 (+ 0 eps))) (+ (* 1/3840 (* eps eps)) -1/48) (+ (cos eps) -1) (sin (+ x eps)))
4.0ms
x
@-inf
((cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (- (sin (+ x eps)) (sin x)) (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (+ (* (* (sin x) -1/2) eps) (cos x)) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (/ (+ (* 2 x) eps) -2) (cos (/ (+ (* 2 x) eps) -2)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (sin (* 1/2 (+ 0 eps))) 2) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (+ (sin (- eps x)) (sin (+ x eps))) (sin (- eps x)) (- eps x) (sin (* 1/2 eps)) (sin (* 1/2 (+ 0 eps))) (+ (* 1/3840 (* eps eps)) -1/48) (+ (cos eps) -1) (sin (+ x eps)))

simplify140.0ms (1.2%)

Memory
5.7MiB live, 159.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05271909
117291806
244771710
082891555
Stop Event
iter limit
node limit
Counts
151 → 150
Calls
Call 1
Inputs
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(* 2 (cos (* -1/2 eps)))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(sin eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
1
(+ 1 (* -1/2 (* eps x)))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ 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)))
(* -1/2 eps)
(+ (* -1 x) (* -1/2 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(* 2 (sin eps))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (* -1 (cos eps)))))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* -1 (* x (sin eps)))))))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/6 (cos eps)) (* 1/6 (cos eps))))))))))
(+ (sin eps) (* -1 (* x (cos eps))))
(+ (sin eps) (* x (+ (* -1 (cos eps)) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (* -1 (cos eps)) (* x (+ (* -1/2 (sin eps)) (* 1/6 (* x (cos eps))))))))
(+ eps (* -1 x))
(+ (sin eps) (* x (cos eps)))
(+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps))))))
(+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (cos eps))))))))
(cos (- (* -1/2 eps) x))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (- (* -1/2 eps) x)) (sin (* 1/2 eps))))
(* 2 (cos (- (* -1/2 eps) x)))
(- (sin (+ eps x)) (sin x))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(* eps (cos x))
(cos x)
(* -1 x)
(* x (- (* -1/2 (/ eps x)) 1))
(cos (* -1/2 (+ eps (* 2 x))))
(+ (* 1/2 (+ (sin (+ eps x)) (sin (- eps x)))) (* (sin x) (- (cos eps) 1)))
(+ (sin (+ eps x)) (sin (- eps x)))
(sin (- eps x))
(* x (- (/ eps x) 1))
(sin (+ eps x))
(cos (+ (* -1 x) (* -1/2 eps)))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(* 2 (* (cos (+ (* -1 x) (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ (* -1 x) (* -1/2 eps))))
(- (sin (- eps (* -1 x))) (sin x))
(* -1 (* x (+ 1 (* 1/2 (/ eps x)))))
(cos (* -1/2 (- eps (* -2 x))))
(+ (* 1/2 (+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))) (* (sin x) (- (cos eps) 1)))
(+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))
(sin (+ eps (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ eps x)))))
(sin (- eps (* -1 x)))
(cos (neg x))
(+ (cos (neg x)) (* 1/2 (* eps (sin (neg x)))))
(+ (cos (neg x)) (* eps (- (* -1/8 (* eps (cos (neg x)))) (* -1/2 (sin (neg x))))))
(+ (cos (neg x)) (* eps (- (* eps (+ (* -1/8 (cos (neg x))) (* -1/48 (* eps (sin (neg x)))))) (* -1/2 (sin (neg x))))))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (cos (neg x)))
(* eps (+ (cos (neg x)) (* 1/2 (* eps (sin (neg x))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* 2 (* eps (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x))))))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* eps (+ (* -1/24 (* eps (sin (neg x)))) (* 2 (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x)))))))))))
(* 2 (cos (neg x)))
(+ (* 2 (cos (neg x))) (* eps (sin (neg x))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* -1/4 (* eps (cos (neg x)))))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* eps (+ (* -1/4 (cos (neg x))) (* -1/24 (* eps (sin (neg x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(cos (* -1 x))
(+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x)))))
(+ (cos (* -1 x)) (* eps (- (* -1/8 (* eps (cos (* -1 x)))) (* -1/2 (sin (* -1 x))))))
(+ (cos (* -1 x)) (* eps (- (* eps (+ (* -1/8 (cos (* -1 x))) (* -1/48 (* eps (sin (* -1 x)))))) (* -1/2 (sin (* -1 x))))))
(* eps (+ 1 (* -1/24 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/1920 (pow eps 2)) 1/24))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/1920 (* -1/322560 (pow eps 2)))) 1/24))))
(* 1/2 (+ (sin x) (sin (neg x))))
(+ (* 1/2 (* eps (+ (cos x) (cos (neg x))))) (* 1/2 (+ (sin x) (sin (neg x)))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (+ (* 1/2 (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x)))))))))))
(+ (sin x) (sin (neg x)))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (cos (neg x))))))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (+ (cos (neg x)) (* eps (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (sin x) (+ (sin (neg x)) (* eps (+ (cos x) (+ (cos (neg x)) (* eps (+ (* -1/2 (sin x)) (+ (* -1/2 (sin (neg x))) (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))))))))))
(sin (neg x))
(+ (sin (neg x)) (* eps (cos (neg x))))
(+ (sin (neg x)) (* eps (+ (cos (neg x)) (* -1/2 (* eps (sin (neg x)))))))
(+ (sin (neg x)) (* eps (+ (cos (neg x)) (* eps (+ (* -1/2 (sin (neg x))) (* -1/6 (* eps (cos (neg x)))))))))
(- eps x)
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
-1/48
(- (* 1/3840 (pow eps 2)) 1/48)
(* -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))
(sin x)
(+ (sin x) (* eps (cos x)))
(+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))
(+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))
(cos (neg (+ x (* 1/2 eps))))
(* 2 (* (cos (neg (+ x (* 1/2 eps)))) (sin (* 1/2 eps))))
(* 2 (cos (neg (+ x (* 1/2 eps)))))
(* -1/2 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (/ (cos x) eps)))
(* eps (- (* -1 (/ x eps)) 1/2))
(* 2 (sin (* 1/2 eps)))
(* eps (+ 1 (* -1 (/ x eps))))
(sin (* 1/2 eps))
(* 1/3840 (pow eps 2))
(* (pow eps 2) (- 1/3840 (* 1/48 (/ 1 (pow eps 2)))))
(- (cos eps) 1)
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(- (sin (- x (* -1 eps))) (sin x))
(* -1 (* eps (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x)))))
(* -1 (* eps (+ 1/2 (/ x eps))))
(cos (* -1/2 (- (* 2 x) (* -1 eps))))
(+ (* 1/2 (+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))) (* (sin x) (- (cos eps) 1)))
(+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))
(sin (neg (+ x (* -1 eps))))
(* -1 (* eps (- (/ x eps) 1)))
(sin (- x (* -1 eps)))
Outputs
(cos (* -1/2 eps))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) x (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(* 2 (cos (* -1/2 eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) x (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))) x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
eps
(+ eps (* -1/2 (* (pow eps 2) x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)
(+ eps (* x (+ (* -1/2 (* eps x)) (* -1/2 (pow eps 2)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)
(+ eps (* x (+ (* -1/2 (pow eps 2)) (* x (+ (* -1/2 eps) (* 1/12 (* (pow eps 2) x)))))))
(fma.f64 (fma.f64 (*.f64 eps (+.f64 x eps)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 eps eps) x)) x)) x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* eps x)))
(fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* -1/2 x))))
(fma.f64 (*.f64 (+.f64 x eps) #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) eps eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/24 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x) eps)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1 x) (* -1/2 eps))
(fma.f64 #s(literal -1/2 binary64) eps (neg.f64 x))
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(* 2 (sin eps))
(*.f64 (sin.f64 eps) #s(literal 2 binary64))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (* -1 (cos eps)))))
(fma.f64 (sin.f64 eps) #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* -1 (* x (sin eps)))))))
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) x (*.f64 (sin.f64 eps) #s(literal 2 binary64)))
(+ (* 2 (sin eps)) (* x (+ (cos eps) (+ (* -1 (cos eps)) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/6 (cos eps)) (* 1/6 (cos eps))))))))))
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) x (*.f64 (sin.f64 eps) #s(literal 2 binary64)))
(+ (sin eps) (* -1 (* x (cos eps))))
(fma.f64 (neg.f64 (cos.f64 eps)) x (sin.f64 eps))
(+ (sin eps) (* x (+ (* -1 (cos eps)) (* -1/2 (* x (sin eps))))))
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rewrite210.0ms (1.7%)

Memory
-9.2MiB live, 152.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062257
095249
1322249
22520249
08581246
Stop Event
iter limit
node limit
iter limit
Counts
23 → 326
Calls
Call 1
Inputs
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))
(sin.f64 (-.f64 eps x))
(-.f64 eps x)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(sin.f64 (+.f64 x eps))
Outputs
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) #s(literal 2 binary64))) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))))
(fma.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (fma.f64 eps #s(literal -1/2 binary64) x))) (cos.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal -1/2 binary64) x))) (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (fma.f64 eps #s(literal -1/2 binary64) x))) (sin.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal -1/2 binary64) x)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x))))) (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x))))) (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x))))) (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x)))))))
(fma.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(fma.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))))
(cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (fma.f64 eps #s(literal -1/2 binary64) x))) (cos.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal -1/2 binary64) x)))) (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (fma.f64 eps #s(literal -1/2 binary64) x))) (sin.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal -1/2 binary64) x)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x))))) (cos.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x)))))) (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x))))) (sin.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) x)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(*.f64 (cos.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) #s(literal 2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps)
(*.f64 eps #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 eps eps)) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))) (neg.f64 eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))) (*.f64 eps eps))
(/.f64 (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(/.f64 (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps))
(fma.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) #s(literal 0 binary64) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(fma.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps (*.f64 #s(literal 0 binary64) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(fma.f64 eps #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))))
(fma.f64 eps #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(+.f64 (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
(+.f64 (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps) (*.f64 #s(literal 0 binary64) #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) #s(literal 0 binary64)))
#s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 eps eps)) (cos.f64 x)) (neg.f64 eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)) (*.f64 eps eps))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) (*.f64 eps eps))
(fma.f64 (cos.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 x) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 (neg.f64 eps) eps)) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal -1 binary64)))
(cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)))
(cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -1/2 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x eps) (*.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (*.f64 eps eps)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 (neg.f64 eps) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal -2 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x eps)
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (/.f64 (*.f64 x x) (+.f64 x eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x eps) (*.f64 eps eps))))
(-.f64 eps x)
(+.f64 (neg.f64 x) eps)
(+.f64 #s(literal 0 binary64) (-.f64 eps x))
(+.f64 eps (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 eps (neg.f64 x))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))
(*.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64)) (pow.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/2304 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64)))) (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64))) (neg.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64))))))
(/.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/2304 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)))
(/.f64 (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64))) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64)) (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64)) (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/2304 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/184320 binary64)))) (fma.f64 #s(literal 1/56623104000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/110592 binary64))))
(fma.f64 (*.f64 #s(literal 1/3840 binary64) eps) eps #s(literal -1/48 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal -1/48 binary64))
(fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64))
(fma.f64 eps (*.f64 #s(literal 1/3840 binary64) eps) #s(literal -1/48 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/14745600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 eps eps) #s(literal 1/3840 binary64) #s(literal 1/48 binary64))))
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64))
(+.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3840 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) (-.f64 (cos.f64 eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (cos.f64 eps) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal -1 binary64))) (pow.f64 (-.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 (-.f64 x eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (sin.f64 (+.f64 x #s(literal 0 binary64))) (cos.f64 eps) (*.f64 (cos.f64 (+.f64 x #s(literal 0 binary64))) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 (+.f64 #s(literal 0 binary64) x)) (*.f64 (cos.f64 eps) (sin.f64 (+.f64 #s(literal 0 binary64) x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps)) (*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 x eps))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(+.f64 (*.f64 (sin.f64 (+.f64 x #s(literal 0 binary64))) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 x #s(literal 0 binary64))) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x eps)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 x eps))) (*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (+.f64 #s(literal 0 binary64) x))) (*.f64 (cos.f64 eps) (sin.f64 (+.f64 #s(literal 0 binary64) x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))

eval92.0ms (0.8%)

Memory
-19.5MiB live, 99.7MiB allocated
Compiler

Compiled 17 656 to 1 913 computations (89.2% saved)

prune35.0ms (0.3%)

Memory
2.0MiB live, 40.7MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New43711448
Fresh3811
Picked235
Done033
Total44225467
Accuracy
100.0%
Counts
467 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
60.4%
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(approx (+ (cos eps) -1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))))
99.8%
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
99.7%
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (cos eps) (sin x)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
36.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.6%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
99.0%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
98.4%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
98.7%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
98.1%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
97.9%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
5.2%
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
100.0%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
99.8%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
99.7%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
99.4%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
99.0%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
Compiler

Compiled 1 216 to 851 computations (30% saved)

simplify237.0ms (2%)

Memory
12.5MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
cost-diff0
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
cost-diff0
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
cost-diff128
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
cost-diff0
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
cost-diff0
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
cost-diff0
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
cost-diff0
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065384
093380
1154380
2257380
3439380
4770374
51121374
61578374
72320374
83267365
94363365
105307365
115989365
127073365
137543365
147774365
08232364
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(cos.f64 (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
eps
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 x)
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
eps
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
x
#s(literal 2 binary64)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
eps
x
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64))
(*.f64 (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(cos.f64 (*.f64 eps #s(literal -1/2 binary64)))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) eps)
eps
#s(literal -1/2 binary64)
(cos.f64 x)
x
(*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin.f64 (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 (*.f64 #s(literal -1/2 binary64) eps))
(sin.f64 x)
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
#s(literal 1 binary64)
eps
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
x
#s(literal 2 binary64)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
#s(approx (sin (* 1/2 eps)) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
eps
x
#s(literal 2 binary64)
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))

localize329.0ms (2.7%)

Memory
-13.6MiB live, 177.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
accuracy0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
accuracy0.0078125
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
accuracy0.12592680321714567
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
accuracy0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
accuracy0.0078125
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
accuracy0.12592680321714567
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
accuracy0.6148686422748073
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
accuracy0.8576912026583888
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
accuracy1.3469485712837066
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy60.672664010527505
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
accuracy0
(cos.f64 x)
accuracy0
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
accuracy0.0078125
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
accuracy0.015625
(*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
Samples
245.0ms216×0valid
26.0ms40×1valid
Compiler

Compiled 676 to 127 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 64.0ms (57.1% of total)
ival-cos: 12.0ms (10.7% of total)
ival-add: 12.0ms (10.7% of total)
ival-sin: 10.0ms (8.9% of total)
adjust: 5.0ms (4.5% of total)
const: 4.0ms (3.6% of total)
ival-sub: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
7.8MiB live, 44.6MiB allocated
Counts
21 → 124
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(cos.f64 x)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
Outputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(* 2 (cos (* -1/2 eps)))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))
(sin eps)
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(* 2 (cos (* 1/2 eps)))
(+ (* -2 (* x (sin (* 1/2 eps)))) (* 2 (cos (* 1/2 eps))))
(+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* -1 (* x (cos (* 1/2 eps)))))))
(+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -1 (cos (* 1/2 eps))) (* 1/3 (* x (sin (* 1/2 eps)))))))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(* x (sin (* -1/2 eps)))
(* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))
(* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))
(* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
(* 2 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))
(+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))
(+ (* 1/2 (+ (sin (+ eps x)) (sin (- eps x)))) (* (sin x) (- (cos eps) 1)))
(- (sin (+ eps x)) (sin x))
(* eps (cos x))
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(cos (- (* -1/2 eps) x))
(* 2 (* (cos (- (* -1/2 eps) x)) (sin (* 1/2 eps))))
(* 2 (cos (- (* -1/2 eps) x)))
(* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ x (* 1/2 eps))))
(cos (+ x (* 1/2 eps)))
(* (sin x) (sin (* -1/2 eps)))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(+ (* 1/2 (+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))) (* (sin x) (- (cos eps) 1)))
(- (sin (- eps (* -1 x))) (sin x))
(cos (+ (* -1 x) (* -1/2 eps)))
(* 2 (* (cos (+ (* -1 x) (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ (* -1 x) (* -1/2 eps))))
(* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))
(* 2 (cos (- (* 1/2 eps) (* -1 x))))
(cos (- (* 1/2 eps) (* -1 x)))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* 2 (cos x))
(+ (* -1 (* eps (sin x))) (* 2 (cos x)))
(+ (* 2 (cos x)) (* eps (+ (* -1 (sin x)) (* -1/4 (* eps (cos x))))))
(+ (* 2 (cos x)) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/4 (cos x)) (* 1/24 (* eps (sin x))))))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))
(* 1/2 (+ (sin x) (sin (neg x))))
(+ (* 1/2 (* eps (+ (cos x) (cos (neg x))))) (* 1/2 (+ (sin x) (sin (neg x)))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (+ (* 1/2 (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x)))))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(cos (neg x))
(+ (cos (neg x)) (* 1/2 (* eps (sin (neg x)))))
(+ (cos (neg x)) (* eps (- (* -1/8 (* eps (cos (neg x)))) (* -1/2 (sin (neg x))))))
(+ (cos (neg x)) (* eps (- (* eps (+ (* -1/8 (cos (neg x))) (* -1/48 (* eps (sin (neg x)))))) (* -1/2 (sin (neg x))))))
(* eps (cos (neg x)))
(* eps (+ (cos (neg x)) (* 1/2 (* eps (sin (neg x))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* 2 (* eps (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x))))))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* eps (+ (* -1/24 (* eps (sin (neg x)))) (* 2 (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x)))))))))))
(* 2 (cos (neg x)))
(+ (* 2 (cos (neg x))) (* eps (sin (neg x))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* -1/4 (* eps (cos (neg x)))))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* eps (+ (* -1/4 (cos (neg x))) (* -1/24 (* eps (sin (neg x)))))))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))
(* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (neg (+ x (* 1/2 eps))))
(* 2 (* (cos (neg (+ x (* 1/2 eps)))) (sin (* 1/2 eps))))
(* 2 (cos (neg (+ x (* 1/2 eps)))))
(sin (* 1/2 eps))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(+ (* 1/2 (+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))) (* (sin x) (- (cos eps) 1)))
(- (sin (- x (* -1 eps))) (sin x))
(* 2 (* (cos (- x (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (- x (* -1/2 eps))))
(cos (- x (* -1/2 eps)))
Calls

6 calls:

TimeVariablePointExpression
53.0ms
eps
@inf
((* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (sin (* 1/2 eps))) (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (+ (* 1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (+ (* 1/2 eps) x)) 2) (cos (+ (* 1/2 eps) x)) (* (sin (* eps -1/2)) (sin x)) (cos x) (sin (* 1/2 eps)) (sin (* 1/2 eps)))
6.0ms
x
@inf
((* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (sin (* 1/2 eps))) (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (+ (* 1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (+ (* 1/2 eps) x)) 2) (cos (+ (* 1/2 eps) x)) (* (sin (* eps -1/2)) (sin x)) (cos x) (sin (* 1/2 eps)) (sin (* 1/2 eps)))
5.0ms
x
@-inf
((* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (sin (* 1/2 eps))) (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (+ (* 1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (+ (* 1/2 eps) x)) 2) (cos (+ (* 1/2 eps) x)) (* (sin (* eps -1/2)) (sin x)) (cos x) (sin (* 1/2 eps)) (sin (* 1/2 eps)))
4.0ms
eps
@-inf
((* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (sin (* 1/2 eps))) (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (+ (* 1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (+ (* 1/2 eps) x)) 2) (cos (+ (* 1/2 eps) x)) (* (sin (* eps -1/2)) (sin x)) (cos x) (sin (* 1/2 eps)) (sin (* 1/2 eps)))
3.0ms
x
@0
((* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (sin (* 1/2 eps))) (* (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) 2) (+ (* (cos (* eps -1/2)) (cos x)) (* (sin (* eps -1/2)) (sin x))) (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) (- (sin (+ x eps)) (sin x)) (* (cos x) eps) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (cos (- (* -1/2 eps) x)) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (- (* -1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (- (* -1/2 eps) x)) 2) (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (* (* (cos (+ (* 1/2 eps) x)) 2) (sin (* 1/2 eps))) (* (cos (+ (* 1/2 eps) x)) 2) (cos (+ (* 1/2 eps) x)) (* (sin (* eps -1/2)) (sin x)) (cos x) (sin (* 1/2 eps)) (sin (* 1/2 eps)))

simplify183.0ms (1.5%)

Memory
4.1MiB live, 277.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05212028
117161854
244201757
086691594
Stop Event
iter limit
node limit
Counts
124 → 123
Calls
Call 1
Inputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(* 2 (cos (* -1/2 eps)))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(cos (* -1/2 eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))
(sin eps)
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(+ (sin eps) (* x (- (cos eps) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 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 (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
(+ (* -2 (* x (pow (sin (* 1/2 eps)) 2))) (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* -1 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))))
(+ (* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -1 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* 1/3 (* x (pow (sin (* 1/2 eps)) 2))))))))
(* 2 (cos (* 1/2 eps)))
(+ (* -2 (* x (sin (* 1/2 eps)))) (* 2 (cos (* 1/2 eps))))
(+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* -1 (* x (cos (* 1/2 eps)))))))
(+ (* 2 (cos (* 1/2 eps))) (* x (+ (* -2 (sin (* 1/2 eps))) (* x (+ (* -1 (cos (* 1/2 eps))) (* 1/3 (* x (sin (* 1/2 eps)))))))))
(cos (* 1/2 eps))
(+ (cos (* 1/2 eps)) (* -1 (* x (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* -1/2 (* x (cos (* 1/2 eps)))) (sin (* 1/2 eps)))))
(+ (cos (* 1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* 1/2 eps))) (* 1/6 (* x (sin (* 1/2 eps)))))) (sin (* 1/2 eps)))))
(* x (sin (* -1/2 eps)))
(* x (+ (sin (* -1/2 eps)) (* -1/6 (* (pow x 2) (sin (* -1/2 eps))))))
(* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* 1/120 (* (pow x 2) (sin (* -1/2 eps))))))))
(* x (+ (sin (* -1/2 eps)) (* (pow x 2) (+ (* -1/6 (sin (* -1/2 eps))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (sin (* -1/2 eps)))) (* 1/120 (sin (* -1/2 eps)))))))))
(* 2 (* (cos (* -1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))))
(* 2 (* (sin (* 1/2 eps)) (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))))
(* 2 (+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps)))))
(+ (* (cos x) (cos (* -1/2 eps))) (* (sin x) (sin (* -1/2 eps))))
(+ (* 1/2 (+ (sin (+ eps x)) (sin (- eps x)))) (* (sin x) (- (cos eps) 1)))
(- (sin (+ eps x)) (sin x))
(* eps (cos x))
(cos x)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(cos (- (* -1/2 eps) x))
(* 2 (* (cos (- (* -1/2 eps) x)) (sin (* 1/2 eps))))
(* 2 (cos (- (* -1/2 eps) x)))
(* 2 (* (cos (+ x (* 1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ x (* 1/2 eps))))
(cos (+ x (* 1/2 eps)))
(* (sin x) (sin (* -1/2 eps)))
(* 2 (* (cos (* -1/2 (- eps (* -2 x)))) (sin (* 1/2 eps))))
(+ (* 1/2 (+ (sin (+ eps (* -1 x))) (sin (- eps (* -1 x))))) (* (sin x) (- (cos eps) 1)))
(- (sin (- eps (* -1 x))) (sin x))
(cos (+ (* -1 x) (* -1/2 eps)))
(* 2 (* (cos (+ (* -1 x) (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (+ (* -1 x) (* -1/2 eps))))
(* 2 (* (cos (- (* 1/2 eps) (* -1 x))) (sin (* 1/2 eps))))
(* 2 (cos (- (* 1/2 eps) (* -1 x))))
(cos (- (* 1/2 eps) (* -1 x)))
(* eps (cos (* -1 x)))
(* eps (+ (cos (* -1 x)) (* 1/2 (* eps (sin (* -1 x))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* 2 (* eps (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x))))))))))
(* eps (+ (cos (* -1 x)) (* eps (+ (* 1/2 (sin (* -1 x))) (* eps (+ (* -1/24 (* eps (sin (* -1 x)))) (* 2 (+ (* -1/16 (cos (* -1 x))) (* -1/48 (cos (* -1 x)))))))))))
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* 2 (* eps (+ (* -1/16 (cos x)) (* -1/48 (cos x)))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* 1/24 (* eps (sin x))) (* 2 (+ (* -1/16 (cos x)) (* -1/48 (cos x))))))))))
(* 2 (cos x))
(+ (* -1 (* eps (sin x))) (* 2 (cos x)))
(+ (* 2 (cos x)) (* eps (+ (* -1 (sin x)) (* -1/4 (* eps (cos x))))))
(+ (* 2 (cos x)) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/4 (cos x)) (* 1/24 (* eps (sin x))))))))
(+ (cos x) (* -1/2 (* eps (sin x))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/8 (* eps (cos x))))))
(+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))))))
(* 1/2 (+ (sin x) (sin (neg x))))
(+ (* 1/2 (* eps (+ (cos x) (cos (neg x))))) (* 1/2 (+ (sin x) (sin (neg x)))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x))))))))))
(+ (* 1/2 (+ (sin x) (sin (neg x)))) (* eps (+ (* 1/2 (+ (cos x) (cos (neg x)))) (* eps (+ (* -1/2 (sin x)) (+ (* 1/2 (* eps (+ (* -1/6 (cos x)) (* -1/6 (cos (neg x)))))) (* 1/2 (+ (* -1/2 (sin x)) (* -1/2 (sin (neg x)))))))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))
(* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))
(cos (neg x))
(+ (cos (neg x)) (* 1/2 (* eps (sin (neg x)))))
(+ (cos (neg x)) (* eps (- (* -1/8 (* eps (cos (neg x)))) (* -1/2 (sin (neg x))))))
(+ (cos (neg x)) (* eps (- (* eps (+ (* -1/8 (cos (neg x))) (* -1/48 (* eps (sin (neg x)))))) (* -1/2 (sin (neg x))))))
(* eps (cos (neg x)))
(* eps (+ (cos (neg x)) (* 1/2 (* eps (sin (neg x))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* 2 (* eps (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x))))))))))
(* eps (+ (cos (neg x)) (* eps (+ (* 1/2 (sin (neg x))) (* eps (+ (* -1/24 (* eps (sin (neg x)))) (* 2 (+ (* -1/16 (cos (neg x))) (* -1/48 (cos (neg x)))))))))))
(* 2 (cos (neg x)))
(+ (* 2 (cos (neg x))) (* eps (sin (neg x))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* -1/4 (* eps (cos (neg x)))))))
(+ (* 2 (cos (neg x))) (* eps (+ (sin (neg x)) (* eps (+ (* -1/4 (cos (neg x))) (* -1/24 (* eps (sin (neg x)))))))))
(+ (cos x) (* eps (- (* -1/8 (* eps (cos x))) (* 1/2 (sin x)))))
(+ (cos x) (* eps (- (* eps (+ (* -1/8 (cos x)) (* 1/48 (* eps (sin x))))) (* 1/2 (sin x)))))
(* -1/2 (* eps (sin x)))
(* eps (+ (* -1/2 (sin x)) (* 1/48 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* -1/3840 (* (pow eps 2) (sin x))) (* 1/48 (sin x))))))
(* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(cos (neg (+ x (* 1/2 eps))))
(* 2 (* (cos (neg (+ x (* 1/2 eps)))) (sin (* 1/2 eps))))
(* 2 (cos (neg (+ x (* 1/2 eps)))))
(sin (* 1/2 eps))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(+ (* 1/2 (+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))) (* (sin x) (- (cos eps) 1)))
(- (sin (- x (* -1 eps))) (sin x))
(* 2 (* (cos (- x (* -1/2 eps))) (sin (* 1/2 eps))))
(* 2 (cos (- x (* -1/2 eps))))
(cos (- x (* -1/2 eps)))
Outputs
(* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(+ (* 2 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* x (* (cos (* -1/2 eps)) (sin (* 1/2 eps))))) (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) x) #s(literal 2 binary64)))
(+ (* 2 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 2 (* (sin (* -1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* -1 (* (cos (* -1/2 eps)) (sin (* 1/2 eps)))) (* -1/3 (* x (* (sin (* -1/2 eps)) (sin (* 1/2 eps))))))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)))) x))
(* 2 (cos (* -1/2 eps)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64))
(+ (* 2 (cos (* -1/2 eps))) (* 2 (* x (sin (* -1/2 eps)))))
(*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* -1 (* x (cos (* -1/2 eps)))) (* 2 (sin (* -1/2 eps))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x #s(literal 2 binary64))))
(+ (* 2 (cos (* -1/2 eps))) (* x (+ (* 2 (sin (* -1/2 eps))) (* x (+ (* -1 (cos (* -1/2 eps))) (* -1/3 (* x (sin (* -1/2 eps)))))))))
(fma.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (fma.f64 x (*.f64 #s(literal -1/3 binary64) x) #s(literal 2 binary64)))) x (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 2 binary64)))
(cos (* -1/2 eps))
(cos.f64 (*.f64 #s(literal -1/2 binary64) eps))
(+ (cos (* -1/2 eps)) (* x (sin (* -1/2 eps))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* -1/2 (* x (cos (* -1/2 eps)))))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(+ (cos (* -1/2 eps)) (* x (+ (sin (* -1/2 eps)) (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))))))
(fma.f64 (fma.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(sin eps)
(sin.f64 eps)
(+ (sin eps) (* x (- (+ (cos eps) (* 1/2 (+ (cos eps) (* -1 (cos eps))))) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* -1/2 (* x (sin eps))) (* 1/2 (+ (cos eps) (* -1 (cos eps)))))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (+ (* 1/2 (+ (cos eps) (* -1 (cos eps)))) (* x (+ (* -1/2 (sin eps)) (* x (+ (* -1/6 (- (cos eps) 1)) (* 1/2 (+ (* -1/6 (cos eps)) (* 1/6 (cos eps)))))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (cos eps) 1)))
(fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1)))
(fma.f64 (fma.f64 (*.f64 (sin.f64 eps) #s(literal -1/2 binary64)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
(+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) x (-.f64 (cos.f64 eps) #s(literal 1 binary64))) x (sin.f64 eps))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x x) eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ (cos (* -1/2 eps)) (* x (- (* -1/2 (* x (cos (* -1/2 eps)))) (* -1 (sin (* -1/2 eps))))))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))))
(+ (cos (* -1/2 eps)) (* x (- (* x (+ (* -1/2 (cos (* -1/2 eps))) (* -1/6 (* x (sin (* -1/2 eps)))))) (* -1 (sin (* -1/2 eps))))))
(fma.f64 (fma.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) x (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(* 2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))
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(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/3840 binary64) (*.f64 eps eps) #s(literal 1/48 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps))
(* eps (+ (* -1/2 (sin x)) (* (pow eps 2) (+ (* 1/48 (sin x)) (* (pow eps 2) (+ (* -1/3840 (sin x)) (* 1/645120 (* (pow eps 2) (sin x)))))))))
(*.f64 (fma.f64 (sin.f64 x) (fma.f64 eps (*.f64 #s(literal 1/48 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/645120 binary64) (*.f64 eps eps) #s(literal -1/3840 binary64))))) eps)
(* 1/2 eps)
(*.f64 eps #s(literal 1/2 binary64))
(* eps (+ 1/2 (* -1/48 (pow eps 2))))
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)
(cos (neg (+ x (* 1/2 eps))))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(* 2 (* (cos (neg (+ x (* 1/2 eps)))) (sin (* 1/2 eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(* 2 (cos (neg (+ x (* 1/2 eps)))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin (* 1/2 eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(* 2 (* (cos (* -1/2 (- (* 2 x) (* -1 eps)))) (sin (* 1/2 eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+ (* 1/2 (+ (sin (neg (+ x (* -1 eps)))) (sin (- x (* -1 eps))))) (* (sin x) (- (cos eps) 1)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) (sin.f64 x)))
(- (sin (- x (* -1 eps))) (sin x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(* 2 (* (cos (- x (* -1/2 eps))) (sin (* 1/2 eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(* 2 (cos (- x (* -1/2 eps))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(cos (- x (* -1/2 eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))

rewrite163.0ms (1.3%)

Memory
11.5MiB live, 178.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065317
093279
1351279
22649279
08583275
Stop Event
iter limit
node limit
iter limit
Counts
21 → 227
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x)))
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
(*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(cos.f64 x)
#s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))))
(*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))) (pow.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))))))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) #s(literal 2 binary64)))
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(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x)))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 (+.f64 x #s(literal 0 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (+.f64 x #s(literal 0 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (fma.f64 eps #s(literal 1/2 binary64) (neg.f64 x)))) (cos.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) (neg.f64 x))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (fma.f64 eps #s(literal 1/2 binary64) (neg.f64 x)))) (sin.f64 (/.f64 (*.f64 x x) (fma.f64 eps #s(literal 1/2 binary64) (neg.f64 x))))))
(+.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(*.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)))))
(-.f64 (/.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) eps x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
#s(approx (sin (* 1/2 eps)) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))

eval36.0ms (0.3%)

Memory
-6.3MiB live, 69.6MiB allocated
Compiler

Compiled 12 139 to 1 333 computations (89% saved)

prune22.0ms (0.2%)

Memory
-10.7MiB live, 39.5MiB allocated
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New2712273
Fresh11314
Picked145
Done066
Total27325298
Accuracy
100.0%
Counts
298 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
60.4%
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(approx (+ (cos eps) -1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))))
99.8%
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
99.7%
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (cos eps) (sin x)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
36.1%
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
60.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.6%
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
99.0%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
98.4%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
98.7%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
98.1%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
97.9%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
97.6%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
97.2%
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
5.2%
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
100.0%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
99.8%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
99.7%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
99.4%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
99.0%
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
Compiler

Compiled 1 605 to 685 computations (57.3% saved)

regimes31.0ms (0.3%)

Memory
8.1MiB live, 47.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(approx (+ (cos eps) -1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (cos eps) (sin x)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Calls

3 calls:

10.0ms
eps
10.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes29.0ms (0.2%)

Memory
14.9MiB live, 54.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) eps))) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(approx (+ (cos eps) -1) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)) eps) eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 eps) (cos.f64 x) #s(approx (+ (* (cos eps) (sin x)) (neg (sin x))) (*.f64 (fma.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps eps) #s(literal 1/24 binary64))) (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) (pow.f64 (sin.f64 (-.f64 x eps)) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
Calls

3 calls:

10.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes21.0ms (0.2%)

Memory
-6.0MiB live, 33.4MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (cos.f64 x)) eps))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
Calls

3 calls:

6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes19.0ms (0.2%)

Memory
-11.7MiB live, 29.0MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
Outputs
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
Calls

3 calls:

7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory
-12.9MiB live, 25.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
Calls

3 calls:

6.0ms
x
5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (cos.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal -2 binary64))))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
Calls

3 calls:

4.0ms
x
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
eps
Results
AccuracySegmentsBranch
99.0%1eps
99.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.0%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory
-19.7MiB live, 19.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 #s(approx (* (sin x) -1/2) (*.f64 #s(literal -1/2 binary64) x)) eps (cos.f64 x)) eps))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
Calls

3 calls:

5.0ms
eps
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
98.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
Calls

3 calls:

3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1eps
98.1%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
-23.2MiB live, 16.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)) x #s(literal 1 binary64))) eps))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
Calls

3 calls:

3.0ms
eps
3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
97.9%1eps
97.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
97.9%1x
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
Calls

3 calls:

2.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
97.6%1eps
97.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
Calls

3 calls:

2.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
97.6%1x
97.6%1eps
97.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps eps) eps)))
Outputs
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
Calls

3 calls:

2.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
97.2%1x
97.2%1eps
97.2%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0%)

Memory
-33.5MiB live, 7.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
Outputs
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
Calls

3 calls:

3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
5.2%1x
5.2%1eps
5.2%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify28.0ms (0.2%)

Memory
10.0MiB live, 47.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121393
1151393
2154393
3156393
4157393
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))
Outputs
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x) (*.f64 (sin.f64 (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal -1/2 binary64) eps)))) #s(literal 2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)) #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(approx (cos (/ (+ (* 2 x) eps) -2)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (*.f64 #s(approx (sin (* 1/2 (+ 0 eps))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) #s(literal 2 binary64)))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) eps) x)) #s(literal 2 binary64))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(approx (sin (* 1/2 eps)) (*.f64 #s(literal 1/2 binary64) eps))))
#s(approx (* (* (sin (* 1/2 (+ 0 eps))) 2) (cos (/ (+ (* 2 x) eps) -2))) (*.f64 #s(approx (sin (* 1/2 eps)) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(approx (cos (- (* -1/2 eps) x)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (+.f64 x eps)) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) #s(approx (* (+ (* (* (sin x) -1/2) eps) (cos x)) eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (+.f64 x eps) eps) eps)))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) eps))
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 #s(approx (+ (* (* (sin x) -1/2) eps) (cos x)) #s(literal 1 binary64)) eps))
#s(approx (+ (* (+ (sin (- eps x)) (sin (+ x eps))) 1/2) (* (sin x) (+ (cos eps) -1))) #s(literal 0 binary64))

soundness1.5s (12%)

Memory
39.3MiB live, 980.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
15316
238016
3476616
0821016
05212028
117161854
244201757
086691594
05471967
117061802
249731730
080931585
039169
069153
1256142
22132142
010138142
0107291
1314291
2779284
32842284
46177284
08125253
05271909
117291806
244771710
082891555
062257
095249
1322249
22520249
08581246
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 635 to 326 computations (48.7% saved)

preprocess84.0ms (0.7%)

Memory
-12.8MiB live, 102.0MiB allocated
Compiler

Compiled 830 to 286 computations (65.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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