bug500 (missed optimization)

Time bar (total: 10.0s)

analyze0.0ms (0%)

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

Compiled 12 to 9 computations (25% saved)

sample884.0ms (8.9%)

Memory
11.6MiB live, 750.7MiB allocated
Samples
530.0ms7 212×1valid
88.0ms549×2valid
25.0ms495×0valid
Precisions
Click to see histograms. Total time spent on operations: 429.0ms
ival-sin: 217.0ms (50.6% of total)
ival-sub: 80.0ms (18.6% of total)
adjust: 72.0ms (16.8% of total)
ival-<: 37.0ms (8.6% of total)
ival-and: 10.0ms (2.3% of total)
exact: 10.0ms (2.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess17.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
11511
2468
31038
41358
51378
034
154
2104
3164
4244
5394
6724
7964
81384
91554
101674
01674
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (sin x) x)
Outputs
(- (sin x) x)
(-.f64 (sin.f64 x) x)
Symmetry

(negabs x)

explain70.0ms (0.7%)

Memory
-3.8MiB live, 73.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-0-(-.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)cancellation1020
Confusion
Predicted +Predicted -
+1020
-0154
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10200
-00154
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0154
1102
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms452×1valid
3.0ms26×2valid
1.0ms34×0valid
Compiler

Compiled 28 to 16 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 13.0ms (53.8% of total)
adjust: 6.0ms (24.8% of total)
ival-sub: 5.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.2%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 3 computations (40% saved)

simplify7.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(-.f64 (sin.f64 x) x)
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037
157
2107
3167
4247
5397
6727
7967
81387
91557
101677
01677
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (sin x) x)
(sin x)
x
Outputs
(- (sin x) x)
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
x

localize26.0ms (0.3%)

Memory
-20.5MiB live, 26.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 x)
accuracy65.2%
(-.f64 (sin.f64 x) x)
Samples
18.0ms226×1valid
2.0ms13×2valid
1.0ms17×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 9.0ms (65.6% of total)
ival-sub: 3.0ms (21.9% of total)
adjust: 2.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (- (sin x) x)>
#<alt (sin x)>
Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
Calls

6 calls:

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

rewrite298.0ms (3%)

Memory
20.4MiB live, 291.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 646×/-lowering-/.f32
4 646×/-lowering-/.f64
4 252×accelerator-lowering-fma.f32
4 252×accelerator-lowering-fma.f64
3 550×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
1186
21466
314946
083276
Stop Event
iter limit
node limit
Counts
2 → 174
Calls
Call 1
Inputs
(- (sin x) x)
(sin x)
Outputs
(+.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64)))
(-.f64 (sin.f64 x) x)
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (*.f64 x (neg.f64 x))) (+.f64 x (sin.f64 x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)) (+.f64 x (sin.f64 x))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 x (sin.f64 x))) (pow.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x x)) (pow.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))))
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(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 x (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (sin.f64 x)))))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x (+.f64 x (sin.f64 x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))

simplify277.0ms (2.8%)

Memory
7.1MiB live, 287.6MiB allocated
Algorithm
egg-herbie
Rules
12 140×accelerator-lowering-fma.f32
12 140×accelerator-lowering-fma.f64
3 244×*-lowering-*.f32
3 244×*-lowering-*.f64
2 514×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047170
1121164
2313164
3949152
42043140
53944140
08028128
Stop Event
iter limit
node limit
Counts
24 → 24
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 x)
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* x (- (/ (sin x) x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
Outputs
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #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 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* -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)
(* -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)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)

eval20.0ms (0.2%)

Memory
-3.9MiB live, 34.8MiB allocated
Compiler

Compiled 7 791 to 591 computations (92.4% saved)

prune32.0ms (0.3%)

Memory
-16.8MiB live, 62.6MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New18513198
Fresh000
Picked011
Done000
Total18514199
Accuracy
99.9%
Counts
199 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.4%
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
3.4%
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))))
3.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))))
65.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
64.6%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
64.2%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
63.6%
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
65.2%
(-.f64 (sin.f64 x) x)
61.9%
(-.f64 x x)
99.2%
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
98.4%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
97.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
6.4%
(neg.f64 x)
Compiler

Compiled 673 to 267 computations (60.3% saved)

simplify309.0ms (3.1%)

Memory
7.9MiB live, 282.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
cost-diff128
(-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
cost-diff14656
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
cost-diff256
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Rules
13 888×accelerator-lowering-fma.f32
13 888×accelerator-lowering-fma.f64
3 392×*-lowering-*.f32
3 392×*-lowering-*.f64
2 522×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047371
1153361
2455358
31140358
42712344
55114344
67408344
08009311
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))
x
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))
(* x x)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)
(* x (+ (* x (* x 1/362880)) -1/5040))
(+ (* x (* x 1/362880)) -1/5040)
(* x 1/362880)
1/362880
-1/5040
1/120
-1/6
(neg x)
x
(- (+ (* (* x x) (* -1/6 x)) x) x)
(+ (* (* x x) (* -1/6 x)) x)
(* x x)
x
(* -1/6 x)
-1/6
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
x
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)
(* x x)
(+ (* x (* x -1/5040)) 1/120)
(* x -1/5040)
-1/5040
1/120
-1/6
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
(pow (sin x) 3)
(sin x)
x
3
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
1
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))
(+ (* x (+ x (sin x))) 1/2)
(+ x (sin x))
1/2
(* 1/2 (cos (+ x x)))
(cos (+ x x))
(+ x x)
(neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
(* x (* x x))
(* x x)
Outputs
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
x
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* x x)
(*.f64 x x)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* x (+ (* x (* x 1/362880)) -1/5040))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)))
(+ (* x (* x 1/362880)) -1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(neg x)
(neg.f64 x)
x
(- (+ (* (* x x) (* -1/6 x)) x) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(+ (* (* x x) (* -1/6 x)) x)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x x)
(*.f64 x x)
x
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
x
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x -1/5040)) 1/120)
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* x -1/5040)
(*.f64 x #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(pow (sin x) 3)
(pow.f64 (sin.f64 x) #s(literal 3 binary64))
(sin x)
(sin.f64 x)
x
3
#s(literal 3 binary64)
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))
(+ (* x (+ x (sin x))) 1/2)
(fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))
(+ x (sin x))
(+.f64 x (sin.f64 x))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (+ x x)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))
(cos (+ x x))
(cos.f64 (+.f64 x x))
(+ x x)
(+.f64 x x)
(neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)

localize355.0ms (3.6%)

Memory
-4.5MiB live, 273.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
accuracy50.3%
(-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))
accuracy41.7%
(/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
accuracy6.3%
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
accuracy100.0%
(*.f64 x #s(literal -1/5040 binary64))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x)
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) x)
accuracy65.2%
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.8%
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy99.7%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy99.3%
(*.f64 x #s(literal 1/362880 binary64))
Samples
149.0ms92×2valid
123.0ms154×1valid
3.0ms10×0valid
Compiler

Compiled 352 to 49 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-mult: 58.0ms (25% of total)
ival-cos: 45.0ms (19.4% of total)
ival-sin: 37.0ms (15.9% of total)
adjust: 27.0ms (11.6% of total)
ival-add: 23.0ms (9.9% of total)
const: 21.0ms (9% of total)
ival-div: 6.0ms (2.6% of total)
ival-pow: 6.0ms (2.6% of total)
ival-sub: 5.0ms (2.2% of total)
ival-neg: 4.0ms (1.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))>
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))>
#<alt (* x x)>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)>
#<alt (neg x)>
#<alt (- (+ (* (* x x) (* -1/6 x)) x) x)>
#<alt (+ (* (* x x) (* -1/6 x)) x)>
#<alt (* -1/6 x)>
#<alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))>
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))>
#<alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))>
#<alt (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)>
#<alt (+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))>
#<alt (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))>
#<alt (pow (sin x) 3)>
#<alt (sin x)>
#<alt (* x 1/362880)>
#<alt (* x -1/5040)>
#<alt (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))>
#<alt (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))>
Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* -1 x)>
#<alt (* x (- (/ (sin x) x) 1))>
#<alt (* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)) (/ (pow (sin x) 3) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow (sin x) 3) (+ (* -1 (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))) x)) (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -1/2 (pow x 2))))>
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))>
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (sin x) x)))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (sin x) x)))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt (pow (sin x) 3)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* -1/5040 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/18 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))>
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))>
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))>
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
1.0ms
x
@inf
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
1.0ms
x
@-inf
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
1.0ms
x
@-inf
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
1.0ms
x
@inf
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))

rewrite362.0ms (3.6%)

Memory
-16.5MiB live, 410.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 486×*-lowering-*.f32
4 486×*-lowering-*.f64
3 868×accelerator-lowering-fma.f32
3 868×accelerator-lowering-fma.f64
3 748×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047260
1307220
22662220
08373197
Stop Event
iter limit
node limit
Counts
20 → 699
Calls
Call 1
Inputs
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))
(* x x)
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)
(neg x)
(- (+ (* (* x x) (* -1/6 x)) x) x)
(+ (* (* x x) (* -1/6 x)) x)
(* -1/6 x)
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))
(pow (sin x) 3)
(sin x)
(* x 1/362880)
(* x -1/5040)
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))
Outputs
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
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(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 x x) (/.f64 x (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))))
(pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))

simplify700.0ms (7%)

Memory
-117.6MiB live, 582.4MiB allocated
Algorithm
egg-herbie
Rules
17 324×accelerator-lowering-fma.f32
17 324×accelerator-lowering-fma.f64
5 540×+-lowering-+.f64
5 540×+-lowering-+.f32
4 606×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03162583
19462528
229282463
083232347
Stop Event
iter limit
node limit
Counts
240 → 240
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))
(* 1/362880 (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 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-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)
(* 1/362880 (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 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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
-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 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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)
(* x (- (/ (sin x) x) 1))
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)) (/ (pow (sin x) 3) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow (sin x) 3) (+ (* -1 (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))) x)) (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -1/2 (pow x 2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (sin x) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* -1/5040 x)
(* 1/3 x)
(* x (+ 1/3 (* 1/18 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2))
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2))
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))
Outputs
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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))))))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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))))))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 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 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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 8 binary64)))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 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 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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 8 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #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))))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -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 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 3))
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(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* -1/5040 x)
(*.f64 x #s(literal -1/5040 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* 1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 11/3240 binary64) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/27216 binary64) #s(literal 11/3240 binary64))) #s(literal 1/18 binary64)) #s(literal 1/3 binary64)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (*.f64 x (/.f64 (sin.f64 x) x)))
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))
(*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (*.f64 x (/.f64 (sin.f64 x) x)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))
(fma.f64 x (/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)) x) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))) x)))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 11/3240 binary64) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (*.f64 x x))
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/27216 binary64) #s(literal 11/3240 binary64))) #s(literal 1/18 binary64)) #s(literal 1/3 binary64)) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (*.f64 x x))
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))) x)) (*.f64 x x))

eval246.0ms (2.5%)

Memory
13.5MiB live, 246.8MiB allocated
Compiler

Compiled 55 800 to 3 113 computations (94.4% saved)

prune141.0ms (1.4%)

Memory
-29.4MiB live, 247.7MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1 137201 157
Fresh268
Picked325
Done011
Total1 142291 171
Accuracy
100.0%
Counts
1 171 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
97.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
3.4%
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
3.4%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))))
21.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
90.4%
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))
99.2%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
65.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
64.6%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
64.2%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
63.6%
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
65.2%
(-.f64 (sin.f64 x) x)
61.9%
(-.f64 x x)
90.4%
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
99.0%
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
98.4%
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
99.2%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
99.0%
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
99.2%
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
97.4%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
99.0%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
99.0%
(*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
98.4%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
30.3%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))))
97.3%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
97.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
6.4%
(neg.f64 x)
Compiler

Compiled 1 260 to 570 computations (54.8% saved)

simplify365.0ms (3.7%)

Memory
23.5MiB live, 315.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))))
cost-diff1600
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
cost-diff0
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
cost-diff320
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff256
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
cost-diff192
(-.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
cost-diff640
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
Rules
11 502×accelerator-lowering-fma.f32
11 502×accelerator-lowering-fma.f64
3 550×*-lowering-*.f32
3 550×*-lowering-*.f64
3 332×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043376
1136346
2408336
31338330
44199328
08865301
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))))
x
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))
(* x x)
-1/6
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)
(+ (* x (* x 1/362880)) -1/5040)
(* x 1/362880)
1/362880
-1/5040
1/120
(- x x)
x
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x))
(+ (* x (* x -1/6)) 1)
x
(* x -1/6)
-1/6
1
(neg x)
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))))
x
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))
(+ (* x (* x -1/5040)) 1/120)
(* x -1/5040)
-1/5040
1/120
(* x (* x x))
(* x x)
(* x -1/6)
-1/6
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))))
x
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x)))))
(/ 1/120 (* x x))
1/120
(* x x)
(- -1/5040 (/ 1/6 (* (* x x) (* x x))))
-1/5040
(/ 1/6 (* (* x x) (* x x)))
1/6
(* (* x x) (* x x))
Outputs
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
x
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
-1/6
#s(literal -1/6 binary64)
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))
(+ (* x (* x 1/362880)) -1/5040)
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
(- x x)
#s(literal 0 binary64)
x
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(+ (* x (* x -1/6)) 1)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
x
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(neg x)
(neg.f64 x)
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
x
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* x (* x -1/5040)) 1/120)
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* x -1/5040)
(*.f64 x #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
x
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x)))))
(+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 1/120 (* x x))
(/.f64 #s(literal 1/120 binary64) (*.f64 x x))
1/120
#s(literal 1/120 binary64)
(* x x)
(*.f64 x x)
(- -1/5040 (/ 1/6 (* (* x x) (* x x))))
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
-1/5040
#s(literal -1/5040 binary64)
(/ 1/6 (* (* x x) (* x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))

localize342.0ms (3.4%)

Memory
6.4MiB live, 318.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.5%
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy55.5%
(+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
accuracy31.6%
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy65.3%
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
accuracy100.0%
(-.f64 x x)
accuracy99.8%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
accuracy99.7%
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))
accuracy99.3%
(*.f64 x #s(literal 1/362880 binary64))
Samples
217.0ms226×1valid
11.0ms13×2valid
5.0ms17×0valid
Compiler

Compiled 398 to 45 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 125.0ms (63.6% of total)
const: 27.0ms (13.7% of total)
ival-add: 18.0ms (9.2% of total)
adjust: 14.0ms (7.1% of total)
ival-div: 6.0ms (3.1% of total)
ival-sub: 3.0ms (1.5% of total)
ival-neg: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-21.5MiB live, 16.6MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#<alt (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))>
#<alt (* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))))>
#<alt (* x x)>
#<alt (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))>
#<alt (- x x)>
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) (neg x))>
#<alt (+ (* x (* x -1/6)) 1)>
#<alt (* x -1/6)>
#<alt (neg x)>
#<alt (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))>
#<alt (* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))))>
#<alt (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))>
#<alt (+ (* x (* x -1/5040)) 1/120)>
#<alt (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))>
#<alt (* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))))>
#<alt (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))>
#<alt (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))>
#<alt (* x 1/362880)>
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))>
#<alt (* x (* x x))>
#<alt (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x)))))>
#<alt (* (* x x) (* x x))>
Outputs
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (+ 1/120 (* -1/5040 (pow x 2)))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -1/6 (pow x 4))>
#<alt (/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))>
#<alt -1/5040>
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt -1/5040>
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x))
2.0ms
x
@-inf
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))
1.0ms
x
@0
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x))
0.0ms
x
@inf
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))
0.0ms
x
@-inf
(* x (* x x))

rewrite471.0ms (4.7%)

Memory
8.1MiB live, 558.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 782×*-lowering-*.f32
5 782×*-lowering-*.f64
4 874×accelerator-lowering-fma.f32
4 874×accelerator-lowering-fma.f64
3 650×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043291
1274265
22420257
09378228
Stop Event
iter limit
node limit
Counts
22 → 657
Calls
Call 1
Inputs
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))))
(* x x)
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))
(- x x)
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x))
(+ (* x (* x -1/6)) 1)
(* x -1/6)
(neg x)
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))))
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))
(+ (* x (* x -1/5040)) 1/120)
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))))
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))
(* x 1/362880)
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))
(* x (* x x))
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x)))))
(* (* x x) (* x x))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x)))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))))
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(*.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (neg.f64 x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x))

simplify558.0ms (5.6%)

Memory
13.0MiB live, 459.3MiB allocated
Algorithm
egg-herbie
Rules
10 856×accelerator-lowering-fma.f32
10 856×accelerator-lowering-fma.f64
4 054×*-lowering-*.f32
4 054×*-lowering-*.f64
1 754×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01182212
12852212
28032212
323712200
463522188
082572050
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 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))
(* 1/362880 (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 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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
0
0
0
0
0
0
0
0
0
0
0
0
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
-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 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 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))))
(* 1/362880 (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 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)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1/6 (pow x 4))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
-1/5040
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
-1/5040
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* 1/362880 (pow x 8))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/362880 (pow x 8))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
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(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
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(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 x (*.f64 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* -1/5040 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
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(* -1/5040 (pow x 4))
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(* -1/6 (pow x 3))
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(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* -1/5040 (pow x 7))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
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(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* -1/5040 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
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(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/5040 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/5040 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1/5040 (pow x 5))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 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 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
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(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
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(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(/ -1/6 (pow x 4))
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))
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(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))
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(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
-1/5040
#s(literal -1/5040 binary64)
(- (* 1/120 (/ 1 (pow x 2))) 1/5040)
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
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(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
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(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))

eval189.0ms (1.9%)

Memory
32.0MiB live, 331.9MiB allocated
Compiler

Compiled 47 722 to 3 996 computations (91.6% saved)

prune147.0ms (1.5%)

Memory
-38.0MiB live, 301.9MiB allocated
Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New1 20081 208
Fresh31821
Picked325
Done033
Total1 206311 237
Accuracy
100.0%
Counts
1 237 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
97.4%
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
3.4%
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
3.4%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))))
21.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
90.4%
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))
65.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
64.6%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
64.2%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
63.6%
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
65.2%
(-.f64 (sin.f64 x) x)
90.4%
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
99.0%
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
98.4%
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
30.3%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))))))
98.5%
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
99.0%
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
99.2%
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
97.4%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
99.0%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
99.2%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
98.4%
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
24.1%
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
29.7%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
30.6%
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/120 binary64))))))
97.3%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
97.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
6.4%
(neg.f64 x)
61.9%
#s(literal 0 binary64)
Compiler

Compiled 1 211 to 583 computations (51.9% saved)

simplify320.0ms (3.2%)

Memory
12.4MiB live, 365.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)))
cost-diff64
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))
cost-diff64
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)
cost-diff3392
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
cost-diff640
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
Rules
13 286×accelerator-lowering-fma.f32
13 286×accelerator-lowering-fma.f64
5 352×*-lowering-*.f32
5 352×*-lowering-*.f64
1 690×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042392
1133344
2427304
31383302
44929300
56088300
66341300
76609300
87070300
97781300
08033270
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)))
x
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6)
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)
(* x x)
(+ (* x (* x 1/362880)) -1/5040)
(* x 1/362880)
1/362880
-1/5040
1/120
-1/6
0
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))
(* x x)
x
(* x (+ (* x (* x 1/120)) -1/6))
(+ (* x (* x 1/120)) -1/6)
(* x 1/120)
1/120
-1/6
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))))
x
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))
(* (* x (* x -1/5040)) x)
(* x (* x -1/5040))
(* x -1/5040)
-1/5040
(+ (* x (* x 1/120)) -1/6)
(* x 1/120)
1/120
-1/6
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)))
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
(+ (* (+ (* x (* x -1/6)) 1) x) x)
(+ (* x (* x -1/6)) 1)
x
(* x -1/6)
-1/6
1
(+ (* x (* (* x x) -1/6)) 0)
(* (* x x) -1/6)
(* x x)
0
(/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x))
Outputs
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
x
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x 1/362880)) -1/5040)
(fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))
(* x 1/362880)
(*.f64 x #s(literal 1/362880 binary64))
1/362880
#s(literal 1/362880 binary64)
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
0
#s(literal 0 binary64)
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
x
(* x (+ (* x (* x 1/120)) -1/6))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* x (* x 1/120)) -1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
x
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* (* x (* x -1/5040)) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))
(* x (* x -1/5040))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* x -1/5040)
(*.f64 x #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
(+ (* x (* x 1/120)) -1/6)
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))
(+ (* (+ (* x (* x -1/6)) 1) x) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))
(+ (* x (* x -1/6)) 1)
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
x
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(+ (* x (* (* x x) -1/6)) 0)
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* (* x x) -1/6)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* x x)
(*.f64 x x)
0
#s(literal 0 binary64)
(/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))))

localize189.0ms (1.9%)

Memory
-17.4MiB live, 181.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy92.8%
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
accuracy99.7%
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.9%
(*.f64 x #s(literal 1/120 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
accuracy99.5%
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy99.9%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
accuracy99.8%
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
accuracy99.7%
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy99.3%
(*.f64 x #s(literal 1/362880 binary64))
Samples
80.0ms256×0valid
Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 39.0ms (63.4% of total)
const: 11.0ms (17.9% of total)
ival-add: 8.0ms (13% of total)
ival-div: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)))>
#<alt (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))>
#<alt (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6)>
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))>
#<alt (* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))>
#<alt (* x x)>
#<alt (* x (+ (* x (* x 1/120)) -1/6))>
#<alt (+ (* x (* x 1/120)) -1/6)>
#<alt (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))>
#<alt (* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))))>
#<alt (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))>
#<alt (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))>
#<alt (* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)))>
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) x)>
#<alt (+ (* x (* (* x x) -1/6)) 0)>
#<alt (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))>
#<alt (* x 1/362880)>
#<alt (* x 1/120)>
#<alt (* x (* x -1/5040))>
#<alt (* x -1/6)>
#<alt (* (* x x) -1/6)>
Outputs
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 8))>
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/362880 (pow x 6))>
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))>
#<alt (* 1/362880 (pow x 5))>
#<alt (* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))>
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 5))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -1/6 (pow x 2))))>
#<alt (* x (+ 2 (* -1/6 (pow x 2))))>
#<alt (* x (+ 2 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))>
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))>
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))>
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))>
#<alt (* 1/36 (pow x 6))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/36 (pow x 6))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/362880 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/5040 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
Calls

63 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
0.0ms
x
@-inf
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
0.0ms
x
@inf
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))
0.0ms
x
@0
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
0.0ms
x
@-inf
(* x 1/120)

rewrite570.0ms (5.7%)

Memory
22.6MiB live, 967.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 116×accelerator-lowering-fma.f32
8 116×accelerator-lowering-fma.f64
5 010×*-lowering-*.f32
5 010×*-lowering-*.f64
4 162×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042281
1246245
22042227
08529203
Stop Event
iter limit
node limit
Counts
21 → 1 444
Calls
Call 1
Inputs
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)))
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6)
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))
(* x x)
(* x (+ (* x (* x 1/120)) -1/6))
(+ (* x (* x 1/120)) -1/6)
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))))
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)))
(+ (* (+ (* x (* x -1/6)) 1) x) x)
(+ (* x (* (* x x) -1/6)) 0)
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))
(* x 1/362880)
(* x 1/120)
(* x (* x -1/5040))
(* x -1/6)
(* (* x x) -1/6)
Outputs
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))
(*.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) x)
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) x))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x #s(literal -1/6 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x #s(literal -1/6 binary64))))
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(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x x)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) x) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) x))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) x)) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(*.f64 x #s(literal 1/362880 binary64))
(*.f64 #s(literal 1/362880 binary64) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/5040 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))

simplify489.0ms (4.9%)

Memory
21.6MiB live, 687.4MiB allocated
Algorithm
egg-herbie
Rules
14 464×accelerator-lowering-fma.f32
14 464×accelerator-lowering-fma.f64
4 782×*-lowering-*.f32
4 782×*-lowering-*.f64
3 572×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492092
13772092
210862092
332692092
082262022
Stop Event
iter limit
node limit
Counts
252 → 252
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))
(* 1/362880 (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 9))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/362880 (pow x 8))
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 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)
(* 1/362880 (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 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))))))
(* 1/120 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))))
(* 1/362880 (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)))))
(* 1/362880 (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))))))
(* -1/6 (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))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* -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)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* x (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 7))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -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 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 5))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 5))
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))
(* 1/36 (pow x 6))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* 1/36 (pow x 6))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/362880 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/5040 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
Outputs
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/362880 (pow x 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 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 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64)))
(* 1/362880 (pow x 8))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 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 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/362880 (pow x 6))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/362880 (pow x 5))
(*.f64 #s(literal 1/362880 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* 1/362880 (pow x 5))
(*.f64 #s(literal 1/362880 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(* 1/120 (pow x 5))
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
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(* 1/120 (pow x 5))
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(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/3 binary64)))
(* 1/36 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* 1/36 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/362880 x)
(*.f64 x #s(literal 1/362880 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/5040 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/5040 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) 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))
(* -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))
(* -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))

eval257.0ms (2.6%)

Memory
-15.8MiB live, 533.9MiB allocated
Compiler

Compiled 79 962 to 4 399 computations (94.5% saved)

prune374.0ms (3.8%)

Memory
18.0MiB live, 592.6MiB allocated
Pruning

31 alts after pruning (22 fresh and 9 done)

PrunedKeptTotal
New1 86891 877
Fresh81321
Picked145
Done055
Total1 877311 908
Accuracy
100.0%
Counts
1 908 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.6%
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
56.1%
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
3.4%
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
3.4%
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))))
98.4%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
65.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
64.6%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
64.2%
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
63.6%
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
65.2%
(-.f64 (sin.f64 x) x)
98.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
39.1%
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
90.2%
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
99.0%
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
30.3%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))))))
98.4%
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
98.4%
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
98.5%
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
97.4%
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
99.2%
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
97.4%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
99.0%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
99.0%
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
99.2%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
98.4%
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
99.0%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
97.3%
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
97.4%
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
6.4%
(neg.f64 x)
61.9%
#s(literal 0 binary64)
Compiler

Compiled 1 815 to 529 computations (70.9% saved)

regimes50.0ms (0.5%)

Memory
-26.7MiB live, 50.1MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/120 binary64))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 (sin.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
Calls

2 calls:

35.0ms
x
11.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes15.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)))
Outputs
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes14.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Outputs
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Calls

2 calls:

7.0ms
x
6.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes41.0ms (0.4%)

Memory
-34.1MiB live, 7.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
Outputs
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
Calls

2 calls:

35.0ms
x
5.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes11.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
Outputs
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes10.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x)
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))))
Outputs
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
Outputs
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes44.0ms (0.4%)

Memory
-28.1MiB live, 9.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x)
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
Outputs
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Accuracy

Total -36.2b remaining (-148.6%)

Threshold costs -36.2b (-148.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(neg.f64 x)
(-.f64 x x)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
61.9%1x
61.9%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify59.0ms (0.6%)

Memory
-23.2MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Rules
48×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040143
164143
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Outputs
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)

soundness1.4s (14%)

Memory
31.6MiB live, 660.2MiB allocated
Rules
14 464×accelerator-lowering-fma.f32
14 464×accelerator-lowering-fma.f64
12 140×accelerator-lowering-fma.f32
12 140×accelerator-lowering-fma.f64
10 856×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492092
13772092
210862092
332692092
082262022
043291
1274265
22420257
09378228
047170
1121164
2313164
3949152
42043140
53944140
08028128
047260
1307220
22662220
08373197
01182212
12852212
28032212
323712200
463522188
082572050
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 368 to 170 computations (53.8% saved)

preprocess245.0ms (2.5%)

Memory
-16.1MiB live, 262.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 516 to 214 computations (58.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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