bug500 (missed optimization)

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample935.0ms (13.1%)

Memory
2.4MiB live, 731.9MiB allocated
Samples
559.0ms7 191×1valid
95.0ms548×2valid
22.0ms517×0valid
Precisions
Click to see histograms. Total time spent on operations: 471.0ms
ival-sin: 218.0ms (46.3% of total)
adjust: 104.0ms (22.1% of total)
ival-sub: 85.0ms (18.1% of total)
ival-<: 39.0ms (8.3% of total)
ival-and: 11.0ms (2.3% of total)
exact: 11.0ms (2.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain67.0ms (0.9%)

Memory
11.4MiB live, 58.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
930-0-(-.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)cancellation930
Confusion
Predicted +Predicted -
+930
-0163
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9300
-00163
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0163
193
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms448×1valid
6.0ms44×2valid
1.0ms20×0valid
Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 13.0ms (53.2% of total)
adjust: 6.0ms (24.6% of total)
ival-sub: 5.0ms (20.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess17.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB 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
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.8%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Memory
-34.8MiB live, 3.7MiB 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

localize25.0ms (0.3%)

Memory
19.8MiB live, 19.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy20.57773670375313
(-.f64 (sin.f64 x) x)
Samples
17.0ms224×1valid
3.0ms22×2valid
0.0ms10×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (46.5% of total)
adjust: 4.0ms (31% of total)
ival-sub: 3.0ms (23.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (taylor 0 x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ (sin x) x) 1)) (taylor inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) (taylor -inf x) (#s(alt (-.f64 (sin.f64 x) x) (patch (-.f64 (sin.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())) ())
#s(alt (sin x) (taylor -inf x) (#s(alt (sin.f64 x) (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))

simplify113.0ms (1.6%)

Memory
-3.0MiB live, 73.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047170
1121164
2313164
3939152
42033140
53880140
08027128
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
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(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)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

rewrite147.0ms (2.1%)

Memory
-19.7MiB live, 105.8MiB 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
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eval21.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated
Compiler

Compiled 6 095 to 589 computations (90.3% saved)

prune14.0ms (0.2%)

Memory
-16.4MiB live, 22.8MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New18611197
Fresh000
Picked011
Done000
Total18612198
Accuracy
99.8%
Counts
198 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.9%
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 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))))))
5.0%
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
67.9%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
67.8%
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)))
5.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
5.0%
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
23.3%
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)))
67.8%
(-.f64 (sin.f64 x) x)
99.1%
#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))))
98.7%
#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))))
98.3%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
6.3%
#s(approx (- (sin x) x) (neg.f64 x))
Compiler

Compiled 466 to 247 computations (47% saved)

simplify119.0ms (1.7%)

Memory
4.7MiB live, 85.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (sin.f64 x) x)
cost-diff0
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
cost-diff0
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff14208
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 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: 4 (0.0ms)

IterNodesCost
036273
062273
1111273
2247271
3628271
41684261
54755261
08205261
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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
Outputs
#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 (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 (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)) (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 #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 (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 #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 (*.f64 x x) #s(literal 1/362880 binary64) #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))
(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 (*.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) (*.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 (*.f64 x x) #s(literal 1/120 binary64) #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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 x) x)
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 (+.f64 (sin.f64 x) x))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)))
#s(literal 1 binary64)
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(+.f64 (sin.f64 x) x)
(sin.f64 x)
x
(fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))

localize297.0ms (4.2%)

Memory
35.9MiB live, 262.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
accuracy0.606320082321176
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy10.862721928054832
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy49.17216491660806
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy0.01171875
(-.f64 (neg.f64 x) (sin.f64 x))
accuracy0.015625
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy5.623689701854351
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
accuracy14.757573746912357
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy0.1328125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.6869056487807796
#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)
accuracy59.9553624895047
#s(approx (- (sin x) x) (neg.f64 x))
accuracy0.00390625
(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))
accuracy0.0078125
(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))
accuracy0.13671875
(*.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)))
accuracy0.48160700444809523
#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
166.0ms146×2valid
56.0ms81×1valid
31.0ms22×3valid
2.0ms0valid
Compiler

Compiled 255 to 38 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-sin: 52.0ms (25.9% of total)
adjust: 35.0ms (17.4% of total)
ival-mult: 30.0ms (14.9% of total)
const: 21.0ms (10.4% of total)
ival-add: 15.0ms (7.5% of total)
ival-pow: 14.0ms (7% of total)
ival-sub: 13.0ms (6.5% of total)
ival-div: 9.0ms (4.5% of total)
ival-pow2: 8.0ms (4% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
-18.6MiB live, 26.5MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt #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)))) (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 (*.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))) (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 (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)) (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 (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)) (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 #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #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)))) (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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (patch (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 (sin.f64 x) x) (patch (+.f64 (sin.f64 x) x) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.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))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.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))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.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))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.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))) (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 -1/6 (taylor 0 x) (#s(alt (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)) (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 (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (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)) (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 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (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)) (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 (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (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)) (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 1/120 (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (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 (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (neg.f64 x)) (patch #s(approx (- (sin x) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #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)))) (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 (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 -1/6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (pow x 4)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45)))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) (taylor 0 x) (#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4)))
4.0ms
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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4)))
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) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (- (* x x) (pow (sin x) 2)) (pow (sin x) 2) (/ 1 (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4)))) (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (+ (sin x) x) (- (neg x) (sin x)) (- (pow (sin x) 4) (pow x 4)))

simplify189.0ms (2.7%)

Memory
-30.9MiB live, 153.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03242207
19132194
228172132
373902132
083332019
Stop Event
iter limit
node limit
Counts
228 → 226
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) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(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))
(/ -6 (pow x 3))
(/ (- (* -3/10 (pow x 2)) 6) (pow x 3))
(/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (pow x 3))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (pow x 3))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* -1 (pow x 2))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 29/180 (pow x 2)) 1))))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 29/180 (* -16/945 (pow x 2)))) 1))))
(* 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))))
(* -2 x)
(* x (- (* 1/6 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(* -2/3 (pow x 6))
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3))
(* -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))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(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 (/ (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))
(* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2)))) (+ (* -1 (pow (sin x) 3)) (pow (sin x) 3))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))
(/ -1 x)
(/ (- (* -1 (/ (sin x) x)) 1) x)
(/ (- (+ (* -1 (/ (sin x) x)) (* -1 (/ (pow (sin x) 2) (pow x 2)))) 1) x)
(/ (- (+ (* -1 (/ (sin x) x)) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (* -1 (/ (pow (sin x) 3) (pow x 3))))) 1) x)
(pow x 3)
(* (pow x 3) (+ 1 (/ (sin x) x)))
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ (sin x) x) (+ (/ (pow (sin x) 2) (pow x 2)) (/ (pow (sin x) 3) (pow x 3))))))
x
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* x (+ 1 (/ (sin x) x)))
(* -1 x)
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* -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)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(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 (/ (- (+ (* -1 (/ (pow (sin x) 3) x)) (+ (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x) (/ (pow (sin x) 3) x))) (+ (* -1 (pow (sin x) 2)) (pow (sin x) 2))) x)) (* -1 (sin x))) x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ (sin x) x)) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (pow (sin x) 2) x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (/ (pow (sin x) 3) x) (pow (sin x) 2)) x))) x))) x))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (/ (pow (sin x) 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1 (/ (pow (sin x) 3) x)) (* -1 (pow (sin x) 2))) x))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(* -1 x)
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (pow x 4))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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 x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* 1/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(fma.f64 (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)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(/ -6 (pow x 3))
(/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -3/10 (pow x 2)) 6) (pow x 3))
(-.f64 (/.f64 #s(literal -3/10 binary64) x) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (- (* (pow x 2) (- (* -11/1400 (pow x 2)) 3/10)) 6) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #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)))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -17/126000 (pow x 2)) 11/1400)) 3/10)) 6) (pow x 3))
(/.f64 (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)))
(* 4 (pow x 3))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* -1 (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* 29/180 (pow x 2)) 1))))
(*.f64 (fma.f64 (fma.f64 #s(literal 29/180 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 4 (* (pow x 2) (- (* (pow x 2) (+ 29/180 (* -16/945 (pow x 2)))) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -16/945 binary64) (*.f64 x x) #s(literal 29/180 binary64)) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/6 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.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)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.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)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 1/6 (pow x 2)) 2))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -2 binary64)) x)
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(*.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)
(* -2/3 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -2/3 binary64))
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3))
(*.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))
(*.f64 (fma.f64 (fma.f64 #s(literal -34/945 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/14175 binary64) (*.f64 x x) #s(literal -34/945 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal -2/3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (/.f64 (sin.f64 x) x) x (neg.f64 x))
(* 1/362880 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/362880 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
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rewrite153.0ms (2.2%)

Memory
19.5MiB live, 130.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036214
062205
1259170
21929170
08250170
Stop Event
iter limit
node limit
iter limit
Counts
19 → 915
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 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(+.f64 (sin.f64 x) x)
(-.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
Outputs
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eval205.0ms (2.9%)

Memory
-11.3MiB live, 182.8MiB allocated
Compiler

Compiled 37 814 to 3 385 computations (91% saved)

prune58.0ms (0.8%)

Memory
14.8MiB live, 92.4MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 275181 293
Fresh606
Picked325
Done011
Total1 284211 305
Accuracy
100.0%
Counts
1 305 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
67.9%
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
23.3%
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x)))
50.5%
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
2.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
5.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
5.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
67.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
6.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
97.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64)))))
67.8%
(-.f64 (sin.f64 x) x)
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
47.8%
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
98.7%
#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))))
99.1%
#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))))
99.0%
#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)))
98.7%
#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))
98.7%
#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)))
52.5%
#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))))
6.3%
#s(approx (- (sin x) x) (neg.f64 x))
40.8%
#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 628 to 401 computations (36.1% saved)

simplify118.0ms (1.7%)

Memory
-8.4MiB live, 75.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 x) #s(literal 2 binary64))
cost-diff0
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff12800
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
cost-diff14208
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
cost-diff0
(*.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)))
cost-diff0
#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))))
cost-diff448
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
cost-diff704
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff0
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 x x))
cost-diff192
(+.f64 #s(literal 0 binary64) x)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049339
078324
1143324
2353312
31065302
42275274
54930274
66949274
08526266
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 0 binary64) x)
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#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))))
(*.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 (+ (* (* 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))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(-.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 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 x)
Outputs
#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 (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))))
(*.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 (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)))
(*.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 (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 (*.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 #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 (*.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 #s(literal 1/362880 binary64) (*.f64 x x) #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))
(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) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
#s(approx (- (sin x) x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
#s(literal 0 binary64)
(*.f64 x x)
x
(+.f64 #s(literal 0 binary64) x)
x
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#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 #s(approx (+ (* (* x x) 1/120) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.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)))
(*.f64 #s(approx (+ (* (* x x) 1/120) -1/6) (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) (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x))
#s(approx (+ (* (* x x) 1/120) -1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))
(-.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 3 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 x) x)
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 x x)
(*.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 (+.f64 (sin.f64 x) x))
(neg.f64 x)

localize307.0ms (4.3%)

Memory
-0.1MiB live, 271.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy3.059282059500503
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy5.623689701854351
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
accuracy14.757573746912357
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy0.1953125
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy0.3046875
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x)
accuracy0.6869056487807796
#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))))
accuracy27.675561984390388
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.13671875
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy0.93551791694476
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy0
(+.f64 #s(literal 0 binary64) x)
accuracy0
(*.f64 x x)
accuracy27.081389884726793
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
accuracy59.9553624895047
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
accuracy0.0078125
(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))
accuracy0.1171875
(*.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))
accuracy0.3203125
(*.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)
accuracy0.48160700444809523
#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)))
Samples
233.0ms230×1valid
15.0ms15×2valid
4.0ms11×0valid
Compiler

Compiled 266 to 44 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult: 35.0ms (20.9% of total)
const: 27.0ms (16.1% of total)
adjust: 21.0ms (12.5% of total)
ival-sub: 19.0ms (11.4% of total)
ival-div: 17.0ms (10.2% of total)
ival-log: 11.0ms (6.6% of total)
ival-add: 10.0ms (6% of total)
ival-exp: 9.0ms (5.4% of total)
ival-sin: 7.0ms (4.2% of total)
ival-pow2: 5.0ms (3% of total)
ival-pow: 3.0ms (1.8% 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)

series77.0ms (1.1%)

Memory
7.3MiB live, 91.1MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#s(alt #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))) (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 (*.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) (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 (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)) (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 (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)) (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 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (patch #s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) (patch (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (patch (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (patch (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 x) #s(literal 2 binary64)) (patch (*.f64 (log.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.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)) (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 (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #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))) (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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #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))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #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))) (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 (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #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))) (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 (* -1/6 x) (taylor 0 x) (#s(alt (*.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) (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 (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (*.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) (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 (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (*.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) (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 (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (*.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) (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 -1/6 (taylor 0 x) (#s(alt (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)) (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 (- (* 1/120 (pow x 2)) 1/6) (taylor 0 x) (#s(alt (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)) (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 (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (taylor 0 x) (#s(alt (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)) (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 (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) (taylor 0 x) (#s(alt (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)) (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 1/120 (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* -1/5040 (pow x 2))) (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (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 (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) (taylor 0 x) (#s(alt (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)) (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 (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (+.f64 #s(literal 0 binary64) x) (patch (+.f64 #s(literal 0 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 x x)) (patch (-.f64 #s(literal 0 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) (patch #s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
34.0ms
x
@0
((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2))
24.0ms
x
@-inf
((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2))
9.0ms
x
@inf
((- (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) (/ (- 0 (* x x)) (+ 0 x)) (+ 0 x) (- 0 (* x x)) (- (sin x) x) (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (* (pow x 3) -1/6) (pow x 3) (* (* (- 1/120 (/ 1/6 (* x x))) x) x) (* (- 1/120 (/ 1/6 (* x x))) x) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (/ (- (exp (* (log x) 2)) (pow (sin x) 2)) (- (neg x) (sin x))) (exp (* (log x) 2)) (- (exp (* (log x) 2)) (pow (sin x) 2)) (* (log x) 2) (* (* (+ (* (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) (* x x)) -1/6) x) (* x x)) (* x x) (/ 1/6 (* x x)) (pow (sin x) 2))

simplify172.0ms (2.4%)

Memory
-0.9MiB live, 119.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632054
14162044
211682038
338881930
478811924
082451832
Stop Event
iter limit
node limit
Counts
276 → 264
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 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 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -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 (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))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(/ -1/6 x)
(/ (- (* 1/120 (pow x 2)) 1/6) x)
(/ (- (* 1/120 (pow x 2)) 1/6) x)
(/ (- (* 1/120 (pow x 2)) 1/6) 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 (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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (pow x 4))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(* 2 (log x))
(* 2 (log x))
(* 2 (log x))
(* 2 (log 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (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 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 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
x
x
(* -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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* x (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* x (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* x (- 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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* -2 (log (/ 1 x)))
(* -2 (log (/ 1 x)))
(* -2 (log (/ 1 x)))
(* -2 (log (/ 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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(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 (/ (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 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
x
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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 x)
(* -1 (* x (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (- (* 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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2 (+ (log -1) (* -1 (log (/ -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))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
(pow (sin x) 2)
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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 x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
x
x
x
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(/ -1/6 x)
(/.f64 #s(literal -1/6 binary64) x)
(/ (- (* 1/120 (pow x 2)) 1/6) x)
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))
(/ (- (* 1/120 (pow x 2)) 1/6) x)
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))
(/ (- (* 1/120 (pow x 2)) 1/6) x)
(fma.f64 #s(literal 1/120 binary64) x (/.f64 #s(literal -1/6 binary64) x))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(* 2 (log x))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 (fma.f64 (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)) (pow.f64 x #s(literal 3 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* 1/362880 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/362880 binary64))
(* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.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 7 binary64)))
(* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.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 7 binary64)))
(* 1/362880 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/362880 binary64))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.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))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.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)))
(* 1/362880 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/362880 binary64))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(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))))
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(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))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
x
x
x
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) (neg.f64 x))
(* x (- (/ (sin x) x) 1))
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rewrite202.0ms (2.8%)

Memory
13.6MiB live, 124.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049271
078259
1292227
22356211
09198205
Stop Event
iter limit
node limit
iter limit
Counts
23 → 906
Calls
Call 1
Inputs
#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)))
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(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))
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(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(*.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 x x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
Outputs
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eval285.0ms (4%)

Memory
6.1MiB live, 307.2MiB allocated
Compiler

Compiled 36 349 to 5 201 computations (85.7% saved)

prune437.0ms (6.2%)

Memory
-9.4MiB live, 157.5MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 642111 653
Fresh31013
Picked235
Done123
Total1 648261 674
Accuracy
100.0%
Counts
1 674 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
67.9%
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
23.3%
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x)))
50.5%
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
2.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
5.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
5.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
67.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
6.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
97.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64)))))
67.8%
(-.f64 (sin.f64 x) x)
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
42.0%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
99.0%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
99.0%
#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)))
99.0%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
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 #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)))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
98.7%
#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))
99.0%
#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))
52.5%
#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)) (*.f64 (*.f64 x x) x)))
6.3%
#s(approx (- (sin x) x) (neg.f64 x))
4.8%
#s(approx (- (sin x) x) x)
Compiler

Compiled 740 to 453 computations (38.8% saved)

simplify112.0ms (1.6%)

Memory
12.9MiB live, 92.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sin.f64 x))
cost-diff0
(sin.f64 x)
cost-diff128
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x))
cost-diff14336
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
cost-diff0
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
cost-diff128
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
#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))
cost-diff0
#s(approx (- (sin x) x) x)
cost-diff0
(*.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)) x)
cost-diff0
(*.f64 (*.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)) x) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
cost-diff320
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
034358
063347
1118335
2212335
3510335
41253327
52989324
64129324
77090324
08041324
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (*.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)) x) x)
(*.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)) x)
(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)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) 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)) (*.f64 x x)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x)
(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)
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x))
(sin.f64 x)
x
(neg.f64 (sin.f64 x))
(*.f64 x x)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 x)
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (*.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)) x) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x))
(*.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)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) x)
(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 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64))
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 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)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) 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)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (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 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (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 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x)
(fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 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)
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 x) x)
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x))
(*.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x))
(sin.f64 x)
x
(neg.f64 (sin.f64 x))
(*.f64 x x)
(-.f64 (neg.f64 x) (sin.f64 x))
(neg.f64 (+.f64 (sin.f64 x) x))
(neg.f64 x)

localize260.0ms (3.7%)

Memory
-26.9MiB live, 268.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.01171875
(-.f64 (neg.f64 x) (sin.f64 x))
accuracy5.623689701854351
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
accuracy29.701236585103345
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x))
accuracy0.1171875
(*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
accuracy0.125
(*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x)
accuracy0.3203125
(*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.48160700444809523
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
accuracy0.0078125
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.09765625
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
accuracy0.23046875
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy0.6869056487807796
#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))
accuracy60.89960934825823
#s(approx (- (sin x) x) x)
accuracy0.1171875
(*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))
accuracy0.12890625
(*.f64 (*.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)) x) x)
accuracy0.31640625
(*.f64 #s(literal -1/6 binary64) x)
accuracy0.48160700444809523
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Samples
159.0ms231×1valid
10.0ms13×2valid
3.0ms12×0valid
Compiler

Compiled 324 to 37 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 52.0ms (37.9% of total)
adjust: 29.0ms (21.1% of total)
const: 23.0ms (16.8% of total)
ival-add: 15.0ms (10.9% of total)
ival-sin: 7.0ms (5.1% of total)
ival-sub: 5.0ms (3.6% of total)
ival-div: 3.0ms (2.2% of total)
ival-neg: 3.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ())
#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (patch (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (patch (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (patch (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) (patch (/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (patch (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (sin.f64 x) (patch (sin.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 (sin.f64 x)) (patch (neg.f64 (sin.f64 x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/6 binary64) x) (patch (*.f64 #s(literal -1/6 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* -1/6 x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (patch (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) (patch #s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.f64 (*.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)) x) x) (patch (*.f64 (*.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)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/120 x) (taylor 0 x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* -1/5040 (pow x 2)))) (taylor 0 x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) (taylor 0 x) (#s(alt (*.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)) x) (patch (*.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)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow x 3)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) (taylor 0 x) (#s(alt #s(approx (- (sin x) x) x) (patch #s(approx (- (sin x) x) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) (patch (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow x 5)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/362880 (pow x 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) (patch (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ (sin x) x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) (sin.f64 x)) (patch (-.f64 (neg.f64 x) (sin.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x))
3.0ms
x
@-inf
((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x))
2.0ms
x
@0
((+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (- (sin x) x) (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (- (sin x) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (* x x) (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (- (sin x) x) (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) (/ (+ (* (sin x) (neg (sin x))) (* x x)) (- (neg x) (sin x))) (+ (* (sin x) (neg (sin x))) (* x x)) (sin x) (neg (sin x)) (* -1/6 x) (* (+ (* (* (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) x) x) (* -1/6 x)) (* x x)) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) (* (* (+ (* (+ (* (* (+ (* 1/362880 (* x x)) -1/5040) x) x) 1/120) (* x x)) -1/6) x) (* x x)) (- (neg x) (sin x)) (neg x))

simplify143.0ms (2%)

Memory
9.8MiB live, 117.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772677
14652665
212892653
340462479
083562365
Stop Event
iter limit
node limit
Counts
288 → 287
Calls
Call 1
Inputs
(* -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 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))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* 1/120 x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* x (+ 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) (- (* (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))
(* (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))
-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)
1/120
(+ 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 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)
(* -1/6 (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) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
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 (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 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))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))
(* (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))
(* -2 x)
(* x (- (* 1/6 (pow x 2)) 2))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 2))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 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)))))
(* 1/362880 (pow x 5))
(* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 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)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 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)
(* 1/362880 (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))
(* 1/362880 (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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 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))))))
(* 1/120 (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)))))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (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 (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* x (- (* -1 (/ (sin x) x)) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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 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)))))
(* 1/362880 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 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 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 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 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)
(* 1/362880 (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)))))
(* 1/362880 (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 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin x) 2) (pow x 2)))))
(sin x)
(sin x)
(sin x)
(sin x)
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1 (sin x))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 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))))))
(* 1/120 (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)))
(* 1/362880 (pow x 4))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (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 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 (* x (+ 1 (/ (sin x) x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (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)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 (*.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)) x) x)
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 (*.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)) x) x)
(* 1/120 x)
(*.f64 #s(literal 1/120 binary64) x)
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.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)) x)
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.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)) x)
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (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)))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (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)))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))
(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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (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)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.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)
(* x (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.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)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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 x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(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))
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (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)))
(* 1/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/6 (pow x 2)) 1))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))
(fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))
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(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/362880 binary64)) (-.f64 (/.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
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rewrite211.0ms (3%)

Memory
8.6MiB live, 214.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034303
063292
1240268
21524268
08430268
Stop Event
iter limit
node limit
iter limit
Counts
24 → 862
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
(*.f64 (*.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)) x) x)
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#s(approx (- (sin 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)) (*.f64 x x)) x))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
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(fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
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(-.f64 (neg.f64 x) (sin.f64 x))
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Outputs
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eval447.0ms (6.3%)

Memory
-2.0MiB live, 314.3MiB allocated
Compiler

Compiled 44 835 to 4 140 computations (90.8% saved)

prune75.0ms (1.1%)

Memory
-4.2MiB live, 111.5MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1 40891 417
Fresh31316
Picked235
Done145
Total1 414291 443
Accuracy
100.0%
Counts
1 443 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (sin.f64 x))
21.8%
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x)))
2.0%
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
23.3%
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x)))
23.3%
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)) (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 (sin.f64 x) x))
5.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
5.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
6.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
97.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64)))))
67.8%
(-.f64 (sin.f64 x) x)
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
42.0%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
98.3%
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
99.0%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
98.7%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
98.7%
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
99.1%
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
99.0%
#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)))
99.0%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) x) x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
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 #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)))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x)))
99.0%
#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))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
52.5%
#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)) (*.f64 (*.f64 x x) x)))
6.3%
#s(approx (- (sin x) x) (neg.f64 x))
4.8%
#s(approx (- (sin x) x) x)
Compiler

Compiled 1 357 to 519 computations (61.8% saved)

regimes32.0ms (0.4%)

Memory
-10.2MiB live, 37.7MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#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)) (*.f64 (*.f64 x x) 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 (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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 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 (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin 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 (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x x)) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) (sin.f64 x))
#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)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
#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))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 x)) (*.f64 x (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (*.f64 (sin.f64 x) x))
(/.f64 (-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (neg.f64 (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 x)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 x x))))) (-.f64 (neg.f64 x) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 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 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 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))))))
Outputs
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
Calls

2 calls:

18.0ms
x
11.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.2%)

Memory
-14.3MiB live, 22.6MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#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)) (*.f64 (*.f64 x x) 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 (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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Calls

2 calls:

9.0ms
x
5.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#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)) (*.f64 (*.f64 x x) 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 (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 (+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) 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 (*.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:

6.0ms
x
5.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.2%)

Memory
-20.5MiB live, 17.7MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x))
#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)) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Calls

2 calls:

7.0ms
x
4.0ms
(-.f64 (sin.f64 x) 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
14.2MiB live, 14.2MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #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)))
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
98.9%1x
98.9%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
-24.5MiB live, 12.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #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(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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* x x) 1/362880) -1/5040) (* x x)) 1/120) #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 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
Calls

2 calls:

6.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (* (+ (sin x) x) (+ (* x x) (pow (sin x) 2))) (- (pow (sin x) 4) (pow x 4))) (/.f64 #s(literal -1 binary64) x)))
Outputs
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
Outputs
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) x)
#s(approx (- (sin x) x) (neg.f64 x))
Outputs
#s(approx (- (sin x) x) (neg.f64 x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
6.3%1x
6.3%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
4.8%1x
4.8%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify29.0ms (0.4%)

Memory
3.0MiB live, 45.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078270
1107270
2109270
3110270
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x 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 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) x)
Outputs
#s(approx (- (sin x) x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) x) x #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 (*.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)) x) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x 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 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x)) x) x (*.f64 #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)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 #s(approx (* (+ (* (+ (* 1/362880 (* x x)) -1/5040) (* x x)) 1/120) x) (*.f64 #s(literal 1/120 binary64) x)) x) x (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x) x))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 x x)))
#s(approx (/ (- (* x x) (pow (sin x) 2)) (- (neg x) (sin x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) x)

soundness1.5s (21.2%)

Memory
-7.8MiB live, 825.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034303
063292
1240268
21524268
08430268
03242207
19132194
228172132
373902132
083332019
01772677
14652665
212892653
340462479
083562365
049271
078259
1292227
22356211
09198205
036214
062205
1259170
21929170
08250170
047170
1121164
2313164
3939152
42033140
53880140
08027128
036
056
1206
21486
314946
083226
01632054
14162044
211682038
338881930
478811924
082451832
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 538 to 301 computations (44.1% saved)

preprocess202.0ms (2.8%)

Memory
6.1MiB live, 168.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 488 to 228 computations (53.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...