bug500 (missed optimization)

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample940.0ms (15%)

Memory
35.7MiB live, 737.5MiB allocated
Samples
579.0ms7 239×1valid
83.0ms534×2valid
21.0ms483×0valid
Precisions
Click to see histograms. Total time spent on operations: 483.0ms
ival-sin: 223.0ms (46.2% of total)
adjust: 102.0ms (21.1% of total)
ival-sub: 89.0ms (18.4% of total)
ival-<: 42.0ms (8.7% of total)
ival-and: 12.0ms (2.5% of total)
exact: 11.0ms (2.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain68.0ms (1.1%)

Memory
-20.3MiB live, 56.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
890-0-(-.f64 (sin.f64 x) x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 x) x)cancellation891
Confusion
Predicted +Predicted -
+890
-0167
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8900
-01166
Precision?
0.9888888888888889
Recall?
1.0
Freqs
test
numberfreq
0167
189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms450×1valid
4.0ms30×2valid
1.0ms32×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 12.0ms (52.6% of total)
adjust: 5.0ms (21.9% of total)
ival-sub: 5.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
11511
2468
31038
41358
51378
034
054
174
2124
3184
4264
5414
6744
71004
81434
91604
101724
01724
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
Outputs
(-.f64 (sin.f64 x) x)
Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(-.f64 (sin.f64 x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037
057
177
2127
3187
4267
5417
6747
71007
81437
91607
101727
01727
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x
Outputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x

localize27.0ms (0.4%)

Memory
-26.6MiB live, 18.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy19.593731653026104
(-.f64 (sin.f64 x) x)
Samples
19.0ms225×1valid
2.0ms15×2valid
1.0ms16×0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (52.7% of total)
adjust: 3.0ms (26.3% of total)
ival-sub: 3.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((- (sin x) x) (sin x))
0.0ms
x
@-inf
((- (sin x) x) (sin x))
0.0ms
x
@inf
((- (sin x) x) (sin x))

simplify115.0ms (1.8%)

Memory
11.0MiB live, 87.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047170
1121164
2313164
3939152
42033140
53881140
08019128
Stop Event
iter limit
node limit
Counts
24 → 23
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)
(neg.f64 x)
(-.f64 (sin.f64 x) x)
(-.f64 (sin.f64 x) x)
(-.f64 (sin.f64 x) x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(neg.f64 x)
(-.f64 (sin.f64 x) x)
(-.f64 (sin.f64 x) x)
(-.f64 (sin.f64 x) x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)

rewrite146.0ms (2.3%)

Memory
-5.4MiB live, 108.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
056
1206
21486
314946
083226
Stop Event
iter limit
node limit
iter limit
Counts
2 → 174
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
Outputs
#<batchref>
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#<batchref>

eval20.0ms (0.3%)

Memory
27.4MiB live, 27.4MiB allocated
Compiler

Compiled 6 165 to 591 computations (90.4% saved)

prune13.0ms (0.2%)

Memory
-17.3MiB live, 21.8MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New18710197
Fresh000
Picked011
Done000
Total18711198
Accuracy
99.8%
Counts
198 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
4.1%
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
58.2%
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
19.0%
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
69.4%
(-.f64 (sin.f64 x) x)
98.9%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (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)) (pow.f64 x #s(literal 3 binary64))))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
97.9%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
6.5%
#s(approx (- (sin x) x) (neg.f64 x))
Compiler

Compiled 434 to 231 computations (46.8% saved)

simplify127.0ms (2%)

Memory
0.5MiB live, 83.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
cost-diff0
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
cost-diff0
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff14080
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (sin x) x) (neg.f64 x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
031265
056265
192265
2180265
3443265
41194265
52668258
64627256
75823256
08190256
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(+.f64 (sin.f64 x) x)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3 binary64))
Outputs
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (sin.f64 x) x)
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(+.f64 (sin.f64 x) x)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
x
#s(literal 3 binary64)
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(+.f64 (sin.f64 x) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3 binary64))

localize200.0ms (3.2%)

Memory
3.3MiB live, 161.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.06640625
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy19.577047498065117
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
accuracy40.46679553307275
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy40.47460803307275
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy0.00390625
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy0.01171875
(+.f64 (sin.f64 x) x)
accuracy5.439556854875571
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
accuracy25.852120811183006
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy0.00390625
(pow.f64 x #s(literal 3 binary64))
accuracy0.01171875
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy0.15234375
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.856434056113439
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy0
(neg.f64 x)
accuracy59.83690388001973
#s(approx (- (sin x) x) (neg.f64 x))
accuracy0.0078125
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.14453125
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
Samples
136.0ms225×1valid
13.0ms15×2valid
5.0ms16×0valid
Compiler

Compiled 515 to 66 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 26.0ms (21.6% of total)
const: 21.0ms (17.4% of total)
adjust: 18.0ms (14.9% of total)
ival-add: 17.0ms (14.1% of total)
ival-pow: 10.0ms (8.3% of total)
ival-div: 9.0ms (7.5% of total)
ival-sin: 7.0ms (5.8% of total)
ival-pow2: 5.0ms (4.1% of total)
ival-sub: 5.0ms (4.1% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-13.9MiB live, 23.8MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))
5.0ms
x
@-inf
((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))
3.0ms
x
@0
((- (sin x) x) (* (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (- (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))) (/ (pow (sin x) 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (pow (sin x) 3) (sin x) (+ (* 1/362880 (* x x)) -1/5040) (pow x 3) (+ (sin x) x) (/ (pow x 3) (+ (* (+ (sin x) x) x) (pow (sin x) 2))) (+ (* (+ (sin x) x) x) (pow (sin x) 2)))

simplify144.0ms (2.3%)

Memory
41.2MiB live, 115.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03442462
110382412
232852302
084042184
Stop Event
iter limit
node limit
Counts
264 → 259
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 19/1620 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 19/1620 (* -2/8505 (pow x 2)))) 1/9))))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
-1/5040
(- (* 1/362880 (pow x 2)) 1/5040)
(- (* 1/362880 (pow x 2)) 1/5040)
(- (* 1/362880 (pow x 2)) 1/5040)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/3 x)
(* x (+ 1/3 (* 1/18 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))) 1))
(* x (- (+ (* -1 (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (* -1 (/ (pow (sin x) 3) (pow x 3))) (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))) 1))
(/ (pow (sin x) 3) (pow x 2))
(/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)) (pow x 2))) (pow (sin x) 3)) (/ (pow (sin x) 4) x)) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5)))) (* -1 (pow (sin x) 6))) (pow x 3))) (pow (sin x) 3)) (+ (* -1 (/ (pow (sin x) 5) (pow x 2))) (+ (/ (pow (sin x) 4) x) (/ (pow (sin x) 5) (pow x 2))))) (pow x 2))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2)))) (/ (sin x) x)))
(* x (- (+ 1 (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (* -1 (pow (sin x) 3))) (pow x 3)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(/ (pow (sin x) 3) (pow x 2))
(/ (+ (* -1 (/ (pow (sin x) 4) x)) (pow (sin x) 3)) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 5) x)) (/ (pow (sin x) 5) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x) (/ (pow (sin x) 6) x)) (+ (* -1 (pow (sin x) 5)) (pow (sin x) 5))) x)) (* -1 (pow (sin x) 4))) x)) (pow (sin x) 3)) (pow x 2))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/362880 (pow x 2))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))))
Outputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/14175 binary64) (*.f64 x x) #s(literal -1/315 binary64)) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 x x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 19/1620 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/8505 binary64) (*.f64 x x) #s(literal 19/1620 binary64)) (*.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 13/120 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -41/3024 binary64) (*.f64 x x) #s(literal 13/120 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x)
#s(literal -1/5040 binary64)
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (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)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 11/3240 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/27216 binary64) (*.f64 x x) #s(literal 11/3240 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 19/360 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/5040 binary64) (*.f64 x x) #s(literal 19/360 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 3 binary64)) x) x)
(neg.f64 x)
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/362880 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
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(*.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) x) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)
x
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(*.f64 x x)
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x)
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(neg.f64 x)
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(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
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(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
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(neg.f64 x)
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(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) x) x)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
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(neg.f64 x)
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(*.f64 (*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) x) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
x
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(fma.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) x) #s(literal 3 binary64)) (/.f64 (sin.f64 x) x)) x x)
(*.f64 x x)
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) x x) x)
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (+.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x) x)

rewrite170.0ms (2.7%)

Memory
-13.5MiB live, 143.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031228
056211
1234193
21898193
08442193
Stop Event
iter limit
node limit
iter limit
Counts
22 → 759
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin.f64 x)
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
(+.f64 (sin.f64 x) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
Outputs
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eval177.0ms (2.8%)

Memory
6.9MiB live, 197.8MiB allocated
Compiler

Compiled 52 643 to 2 757 computations (94.8% saved)

prune42.0ms (0.7%)

Memory
9.5MiB live, 88.3MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 376171 393
Fresh415
Picked415
Done011
Total1 384201 404
Accuracy
100.0%
Counts
1 404 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
2.8%
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))
55.0%
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.4%
(-.f64 (sin.f64 x) x)
97.9%
#s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
98.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
53.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
98.9%
#s(approx (- (sin x) x) (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
98.9%
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
44.9%
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
6.5%
#s(approx (- (sin x) x) (neg.f64 x))
34.0%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 897 to 528 computations (41.1% saved)

simplify134.0ms (2.1%)

Memory
-1.9MiB live, 86.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff0
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff0
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff0
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff512
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
cost-diff192
(+.f64 #s(literal 0 binary64) x)
cost-diff1024
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053543
085529
1144523
2397519
31489519
43497519
55275519
67373519
08031514
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(+.f64 #s(literal 0 binary64) x)
#s(literal 0 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/14400 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
Outputs
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
x
#s(literal 0 binary64)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64))
(*.f64 x x)
x
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/14400 binary64)
#s(literal -1/36 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)

localize264.0ms (4.2%)

Memory
-14.9MiB live, 217.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.13347626953688405
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.13671875
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.856434056113439
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy0.0078125
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy0.203125
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy0.856434056113439
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy40.781174453892206
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy0.01171875
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.11328125
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
accuracy0.35546875
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
accuracy0
(*.f64 (neg.f64 x) x)
accuracy0
(neg.f64 x)
accuracy30.71827657666793
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
accuracy59.83690388001973
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
accuracy0.01953125
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))
accuracy0.0234375
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
accuracy0.14453125
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
Samples
196.0ms225×1valid
15.0ms15×2valid
7.0ms16×0valid
Compiler

Compiled 1 006 to 109 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-mult: 39.0ms (23% of total)
const: 37.0ms (21.9% of total)
adjust: 32.0ms (18.9% of total)
ival-add: 18.0ms (10.6% of total)
ival-div: 16.0ms (9.5% of total)
ival-pow: 8.0ms (4.7% of total)
ival-sin: 7.0ms (4.1% of total)
ival-sub: 5.0ms (3% of total)
ival-pow2: 5.0ms (3% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-5.6MiB live, 32.4MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* (pow x 4) 1/14400) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6))
4.0ms
x
@-inf
((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* (pow x 4) 1/14400) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6))
4.0ms
x
@0
((/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (- (sin x) x) (* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (/ (* (neg x) x) (+ 0 x)) (+ 0 x) (- (sin x) x) (* (neg x) x) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (- 1/120 (/ 1/6 (* x x))) (- (sin x) x) (/ (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* 1/120 (* x x)) 1/6)) (* (+ (* (pow x 4) 1/14400) -1/36) (pow x 3)) (+ (* (pow x 4) 1/14400) -1/36) (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (neg x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (/ 1/6 (* x x)) (+ (* 1/120 (* x x)) 1/6))

simplify146.0ms (2.3%)

Memory
32.2MiB live, 111.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872656
14462656
212392620
337202560
473962530
082212417
Stop Event
iter limit
node limit
Counts
300 → 288
Calls
Call 1
Inputs
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/36 (pow x 3))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
(* (pow x 3) (- (* 1/14400 (pow x 4)) 1/36))
-1/36
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
(- (* 1/14400 (pow x 4)) 1/36)
1/14400
(+ 1/14400 (* -1/302400 (pow x 2)))
(+ 1/14400 (* (pow x 2) (- (* 13/152409600 (pow x 2)) 1/302400)))
(+ 1/14400 (* (pow x 2) (- (* (pow x 2) (+ 13/152409600 (* -1/914457600 (pow x 2)))) 1/302400)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 7))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 7) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/131681894400 (pow x 8))
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/14400 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* -1 (* (pow x 7) (- (* 1/36 (/ 1 (pow x 4))) 1/14400)))
(* 1/14400 (pow x 4))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/131681894400 (pow x 8))
(* (pow x 8) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
Outputs
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -6 binary64)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
x
x
x
x
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (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)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/36 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
#s(literal 1/14400 binary64)
(fma.f64 #s(literal -1/302400 binary64) (*.f64 x x) #s(literal 1/14400 binary64))
(fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/914457600 binary64) (*.f64 x x) #s(literal 13/152409600 binary64)) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 362880 binary64)) (/.f64 #s(literal 26127360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 783820800 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 362880 binary64)) (/.f64 #s(literal 26127360 binary64) (*.f64 x x))) (/.f64 #s(literal 627056640 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
x
x
x
x
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
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(/.f64 #s(literal 362880 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 26127360 binary64) (*.f64 x x)) #s(literal 362880 binary64)) (pow.f64 x #s(literal 6 binary64)))
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(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
x
x
x
x
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
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(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
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(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
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(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
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(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
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(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1/120 binary64)
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))
(neg.f64 x)
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64)) (pow.f64 x #s(literal 5 binary64)))
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(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 7 binary64)))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
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(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
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(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 13/152409600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/131681894400 binary64)) (/.f64 #s(literal 1/914457600 binary64) (*.f64 x x))) (/.f64 #s(literal 1/302400 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
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(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))

rewrite179.0ms (2.9%)

Memory
9.6MiB live, 162.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053431
085480
1335321
22729321
08282313
Stop Event
iter limit
node limit
iter limit
Counts
25 → 898
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
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(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
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#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
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#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64))
(neg.f64 x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
Outputs
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eval190.0ms (3%)

Memory
-35.7MiB live, 246.5MiB allocated
Compiler

Compiled 51 479 to 4 247 computations (91.8% saved)

prune49.0ms (0.8%)

Memory
32.2MiB live, 109.3MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 274101 284
Fresh5813
Picked505
Done022
Total1 284201 304
Accuracy
100.0%
Counts
1 304 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
2.8%
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))
55.0%
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.4%
(-.f64 (sin.f64 x) x)
97.9%
#s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
66.5%
#s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
98.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
98.6%
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* (pow x 4) 1/14400) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
6.5%
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
99.0%
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
97.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
6.5%
#s(approx (- (sin x) x) (neg.f64 x))
33.6%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 1 027 to 620 computations (39.6% saved)

simplify155.0ms (2.5%)

Memory
-15.4MiB live, 140.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
cost-diff0
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
cost-diff0
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff0
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff0
#s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
cost-diff320
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
cost-diff0
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072724
0107716
1190712
2351712
3857695
42482695
55145695
66897695
08037661
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64))
(fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64))
#s(literal -17/126000 binary64)
(*.f64 x x)
x
#s(literal -11/1400 binary64)
#s(literal -3/10 binary64)
#s(literal -6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(neg.f64 x)
x
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos.f64 (+.f64 x x))
(+.f64 x x)
(+.f64 (sin.f64 x) x)
(sin.f64 x)
Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))
#s(literal 1 binary64)
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64))
(fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64))
#s(literal -17/126000 binary64)
(*.f64 x x)
x
#s(literal -11/1400 binary64)
#s(literal -3/10 binary64)
#s(literal -6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x x)
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1/2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/2 binary64)))
(neg.f64 x)
x
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(+.f64 (sin.f64 x) x)
(sin.f64 x)

localize508.0ms (8.1%)

Memory
11.8MiB live, 302.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(+.f64 (sin.f64 x) x)
accuracy5.439556854875571
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
accuracy25.852120811183006
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
accuracy27.405360703815663
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy0.203125
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy0.856434056113439
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy1.2537640284580605
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
accuracy40.781174453892206
(*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy0.11328125
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
accuracy0.35546875
(*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
accuracy0.8210313323380249
#s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))
accuracy0.11328125
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
accuracy0.35546875
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
accuracy1.245481519063376
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64))
accuracy0.14453125
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
accuracy0.5660246448401456
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
accuracy0.5795331780923407
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))
Samples
372.0ms238×1valid
15.0ms12×2valid
3.0ms0valid
Compiler

Compiled 1 192 to 139 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-add: 62.0ms (20.5% of total)
ival-mult: 51.0ms (16.9% of total)
const: 51.0ms (16.9% of total)
ival-cos: 41.0ms (13.6% of total)
adjust: 31.0ms (10.3% of total)
ival-pow: 25.0ms (8.3% of total)
ival-div: 16.0ms (5.3% of total)
ival-sin: 9.0ms (3% of total)
ival-sub: 8.0ms (2.6% of total)
ival-pow2: 5.0ms (1.7% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
-5.2MiB live, 32.3MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@inf
((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x))
4.0ms
x
@-inf
((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x))
3.0ms
x
@0
((* (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (pow x 3)) (- (sin x) x) (/ 1 (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36))) (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (- (sin x) x) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (* x x) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (- (sin x) x) (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (- 1/2 (* 1/2 (cos (+ x x)))) (/ (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (+ (sin x) x)) (+ (* (neg x) x) (- 1/2 (* 1/2 (cos (+ x x))))) (neg x) (+ (* (+ (* -17/126000 (* x x)) -11/1400) (* x x)) -3/10) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (/ -1/6 (* x x)) (+ (sin x) x))

simplify331.0ms (5.3%)

Memory
-12.3MiB live, 106.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02553259
17043250
220183168
365683142
081152990
Stop Event
iter limit
node limit
Counts
300 → 298
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-3/10
(- (* -11/1400 (pow x 2)) 3/10)
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)
(- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(- 1/2 (* 1/2 (cos (* 2 x))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ 1/2 (pow x 2)) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (+ (* 1/2 (cos (* 2 x))) (pow (sin x) 2)))) (pow x 3))) (/ 1/2 (pow x 2))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* 1/2 (/ (cos (* 2 x)) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -17/126000 (pow x 4))
(* -1 (* (pow x 4) (+ 17/126000 (* 11/1400 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000))
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000))
(* 1/362880 (pow x 9))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 7))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
x
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(/ 362880 (pow x 6))
(/ (+ 362880 (* 26127360 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (pow x 6))
(/ (- (+ 362880 (+ (* 26127360 (/ 1 (pow x 2))) (/ 783820800 (pow x 4)))) (* 627056640 (/ 1 (pow x 6)))) (pow x 6))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/362880 (pow x 6))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* 1/120 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
1/120
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(- 1/2 (* 1/2 (cos (neg (* -2 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (/ (* (sin x) (- (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (* -1 (pow (sin x) 2)))) x))) (* -1 (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (* 1/2 (/ (cos (neg (* -2 x))) (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -17/126000 (pow x 4))
(* -1 (* (pow x 4) (+ 17/126000 (* 11/1400 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000))
(* (pow x 4) (- (* -1 (/ (+ 11/1400 (* 3/10 (/ 1 (pow x 2)))) (pow x 2))) 17/126000))
(* 1/362880 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* 1/362880 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
(/ -1/6 (pow x 2))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
Outputs
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -6 binary64)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 #s(literal -11/1400 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 x x)
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)))
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(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
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(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(neg.f64 x)
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 x)
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
#s(literal 1/120 binary64)
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64))
(neg.f64 x)
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(*.f64 (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)) x) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (fma.f64 (sin.f64 x) (sin.f64 x) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) x)) x) x (neg.f64 x))
(*.f64 (neg.f64 x) x)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64)) x) x #s(literal 1/2 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
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(*.f64 (-.f64 #s(literal -17/126000 binary64) (/.f64 #s(literal 11/1400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/1400 binary64) (/.f64 #s(literal 3/10 binary64) (*.f64 x x))) x) x) #s(literal 17/126000 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/1400 binary64) (/.f64 #s(literal 3/10 binary64) (*.f64 x x))) x) x) #s(literal 17/126000 binary64)) (pow.f64 x #s(literal 4 binary64)))
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(*.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
x
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)
(fma.f64 (/.f64 (sin.f64 x) x) x x)

rewrite195.0ms (3.1%)

Memory
5.3MiB live, 161.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072648
0107640
1445535
23096535
08756495
Stop Event
iter limit
node limit
iter limit
Counts
25 → 358
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))
(*.f64 x x)
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
#s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(neg.f64 x)
(fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x))
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(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(+.f64 (sin.f64 x) x)
Outputs
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eval92.0ms (1.5%)

Memory
8.6MiB live, 126.2MiB allocated
Compiler

Compiled 33 364 to 2 099 computations (93.7% saved)

prune79.0ms (1.3%)

Memory
15.1MiB live, 90.0MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New7766782
Fresh21113
Picked145
Done022
Total77923802
Accuracy
100.0%
Counts
802 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.0%
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
2.1%
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))
55.0%
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
58.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.4%
(-.f64 (sin.f64 x) x)
97.9%
#s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
99.1%
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
66.5%
#s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
98.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
98.6%
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* (pow x 4) 1/14400) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
6.5%
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
98.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
98.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.0%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
97.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
97.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
6.5%
#s(approx (- (sin x) x) (neg.f64 x))
33.6%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 1 850 to 636 computations (65.6% saved)

regimes27.0ms (0.4%)

Memory
8.0MiB live, 44.2MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (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)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* (pow x 4) 1/14400) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 #s(literal -17/126000 binary64) (*.f64 x x) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 #s(approx (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (fma.f64 (fma.f64 #s(literal 13/152409600 binary64) (*.f64 x x) #s(literal -1/302400 binary64)) (*.f64 x x) #s(literal 1/14400 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 x) x) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
Calls

2 calls:

13.0ms
(-.f64 (sin.f64 x) x)
12.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes26.0ms (0.4%)

Memory
-31.3MiB live, 22.3MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (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)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (*.f64 #s(approx (+ (* (pow x 4) 1/14400) -1/36) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
Calls

2 calls:

16.0ms
(-.f64 (sin.f64 x) x)
8.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) (neg.f64 x)) (+.f64 #s(literal 0 binary64) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.2%)

Memory
-28.6MiB live, 10.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

9.0ms
(-.f64 (sin.f64 x) x)
3.0ms
x
Results
AccuracySegmentsBranch
98.4%1(-.f64 (sin.f64 x) x)
98.4%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory
18.3MiB live, 18.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.0%1(-.f64 (sin.f64 x) x)
98.0%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes31.0ms (0.5%)

Memory
-31.8MiB live, 7.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64))) x))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
Calls

2 calls:

29.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
Outputs
#s(approx (- (sin x) x) (neg.f64 x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
6.5%1x
6.5%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify75.0ms (1.2%)

Memory
-1.6MiB live, 35.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073271
192271
294271
395271
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (neg.f64 x))
Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) 1/6) (+ (* (pow (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) 2) (pow x 4)) -1/36)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -17/126000 binary64) #s(literal -11/1400 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) #s(literal -1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (neg.f64 x))

soundness1.3s (21.2%)

Memory
17.2MiB live, 643.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072648
0107640
1445535
23096535
08756495
053431
085480
1335321
22729321
08282313
031228
056211
1234193
21898193
08442193
047170
1121164
2313164
3939152
42033140
53881140
08019128
01872656
14462656
212392620
337202560
473962530
082212417
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 634 to 310 computations (51.1% saved)

preprocess111.0ms (1.8%)

Memory
11.2MiB live, 135.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 872 to 344 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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