tanhf (example 3.4)

Time bar (total: 10.3s)

analyze115.0ms (1.1%)

Memory
-19.3MiB live, 137.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.9s (18.1%)

Memory
61.3MiB live, 1 824.2MiB allocated
Samples
678.0ms2 191×2valid
496.0ms4 146×0valid
315.0ms642×3valid
131.0ms1 275×1valid
2.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-cos: 819.0ms (60.1% of total)
ival-sin: 176.0ms (12.9% of total)
ival-sub: 168.0ms (12.3% of total)
ival-div: 106.0ms (7.8% of total)
adjust: 76.0ms (5.6% of total)
exact: 9.0ms (0.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess48.0ms (0.5%)

Memory
14.3MiB live, 52.8MiB allocated
Algorithm
egg-herbie
Rules
204×accelerator-lowering-fma.f32
204×accelerator-lowering-fma.f64
140×*-lowering-*.f32
140×*-lowering-*.f64
110×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
13813
27712
318112
444412
568412
671912
064
1164
2224
3334
4544
5774
61104
71844
83074
95154
105574
115604
125684
135744
145784
155854
165924
175934
05934
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (sin x))
Outputs
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Call 2
Inputs
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
Outputs
(/ (- 1 (cos x)) (sin x))
(tan (* x 1/2))
(/ (- 1 (cos (neg x))) (sin (neg x)))
(tan (* x -1/2))
(neg (/ (- 1 (cos (neg x))) (sin (neg x))))
(tan (* x 1/2))
Symmetry

(negabs x)

explain190.0ms (1.9%)

Memory
3.8MiB live, 160.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
830-0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
680-5(1.0862570717734212e-158)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation832
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))u/n630
(-.f64 #s(literal 1 binary64) (cos.f64 x))underflow63
Confusion
Predicted +Predicted -
+1461
-0109
Precision
1.0
Recall
0.9931972789115646
Confusion?
Predicted +Predicted MaybePredicted -
+14610
-01108
Precision?
0.9932432432432432
Recall?
1.0
Freqs
test
numberfreq
0110
1146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms168×2valid
26.0ms242×0valid
15.0ms38×3valid
7.0ms64×1valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-cos: 47.0ms (62.3% of total)
ival-sin: 11.0ms (14.6% of total)
ival-div: 6.0ms (8% of total)
adjust: 5.0ms (6.6% of total)
ival-sub: 5.0ms (6.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify27.0ms (0.3%)

Memory
1.1MiB live, 39.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Rules
204×accelerator-lowering-fma.f32
204×accelerator-lowering-fma.f64
140×*-lowering-*.f32
140×*-lowering-*.f64
82×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
11614
22214
33314
45414
57714
611014
718414
830714
951514
1055714
1156014
1256814
1357414
1457814
1558514
1659214
1759314
059314
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
1
(cos x)
x
(sin x)
Outputs
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(cos x)
(cos.f64 x)
x
(sin x)
(sin.f64 x)

localize65.0ms (0.6%)

Memory
-21.3MiB live, 58.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(cos.f64 x)
accuracy75.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy74.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
21.0ms84×2valid
15.0ms121×0valid
7.0ms19×3valid
3.0ms32×1valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-cos: 22.0ms (63% of total)
ival-sin: 5.0ms (14.3% of total)
ival-div: 3.0ms (8.6% of total)
ival-sub: 3.0ms (8.6% of total)
adjust: 2.0ms (5.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (- 1 (cos x))>
#<alt (cos x)>
#<alt (sin x)>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (/ (- 1 (cos x)) (sin x))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt (- 1 (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt 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

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ (- 1 (cos x)) (sin x))
0.0ms
x
@-inf
(/ (- 1 (cos x)) (sin x))
0.0ms
x
@0
(/ (- 1 (cos x)) (sin x))
0.0ms
x
@0
(cos x)
0.0ms
x
@0
(- 1 (cos x))

rewrite331.0ms (3.2%)

Memory
23.6MiB live, 453.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 606×*-lowering-*.f32
4 606×*-lowering-*.f64
3 722×/-lowering-/.f32
3 722×/-lowering-/.f64
2 028×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0612
13512
224112
3235111
0888411
Stop Event
iter limit
node limit
Counts
4 → 615
Calls
Call 1
Inputs
(/ (- 1 (cos x)) (sin x))
(- 1 (cos x))
(cos x)
(sin x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(+.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (*.f64 (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)) (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (sin.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (sin.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))

simplify749.0ms (7.3%)

Memory
-54.8MiB live, 769.6MiB allocated
Algorithm
egg-herbie
Rules
19 148×accelerator-lowering-fma.f32
19 148×accelerator-lowering-fma.f64
3 796×*-lowering-*.f32
3 796×*-lowering-*.f64
3 232×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079286
1224286
2555280
31656280
43000280
54243280
64592280
75323280
86815280
08390256
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(/ (- 1 (cos x)) (sin x))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
(- 1 (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
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
(* 1/2 x)
(/.f64 x #s(literal 2 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ (- 1 (cos x)) (sin x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(* 1/2 (pow x 2))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) #s(literal -1/40320 binary64))))))))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(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)

eval105.0ms (1%)

Memory
32.4MiB live, 151.5MiB allocated
Compiler

Compiled 15 035 to 1 657 computations (89% saved)

prune119.0ms (1.2%)

Memory
-16.3MiB live, 141.3MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6594663
Fresh000
Picked101
Done000
Total6604664
Accuracy
100.0%
Counts
664 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
54.3%
(/.f64 x #s(literal 2 binary64))
53.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify5.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6464
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Rules
38×*-lowering-*.f32
38×*-lowering-*.f64
24×accelerator-lowering-fma.f32
24×accelerator-lowering-fma.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12644
24144
34444
04442
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(tan (/ x 2))
(/ x 2)
x
2
(* x (+ 1/2 (* 1/24 (* x x))))
x
(+ 1/2 (* 1/24 (* x x)))
1/2
(* 1/24 (* x x))
1/24
(* x x)
(/ x 2)
x
2
(pow 1 -1/2)
1
-1/2
Outputs
(tan (/ x 2))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x (+ 1/2 (* 1/24 (* x x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
x
(+ 1/2 (* 1/24 (* x x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(* 1/24 (* x x))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
1/24
#s(literal 1/24 binary64)
(* x x)
(*.f64 x x)
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(pow 1 -1/2)
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)

localize53.0ms (0.5%)

Memory
-17.0MiB live, 78.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
accuracy99.4%
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Samples
31.0ms256×0valid
Compiler

Compiled 48 to 15 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 5.0ms (23.7% of total)
ival-tan: 5.0ms (23.7% of total)
const: 4.0ms (19% of total)
ival-add: 3.0ms (14.2% of total)
ival-div: 2.0ms (9.5% of total)
ival-pow: 2.0ms (9.5% of total)
exact: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#<alt (tan (/ x 2))>
#<alt (/ x 2)>
#<alt (* x (+ 1/2 (* 1/24 (* x x))))>
#<alt (+ 1/2 (* 1/24 (* x x)))>
#<alt (* 1/24 (* x x))>
#<alt (* x x)>
#<alt (pow 1 -1/2)>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (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 (pow x 2)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ x 2)
1.0ms
x
@inf
(* x (+ 1/2 (* 1/24 (* x x))))
0.0ms
x
@0
(* x (+ 1/2 (* 1/24 (* x x))))
0.0ms
x
@inf
(tan (/ x 2))
0.0ms
x
@-inf
(tan (/ x 2))

rewrite398.0ms (3.9%)

Memory
-5.6MiB live, 532.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 928×accelerator-lowering-fma.f32
7 928×accelerator-lowering-fma.f64
4 610×*-lowering-*.f32
4 610×*-lowering-*.f64
3 334×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
15832
229832
3219332
0819330
Stop Event
iter limit
node limit
Counts
7 → 282
Calls
Call 1
Inputs
(tan (/ x 2))
(/ x 2)
(* x (+ 1/2 (* 1/24 (* x x))))
(+ 1/2 (* 1/24 (* x x)))
(* 1/24 (* x x))
(* x x)
(pow 1 -1/2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))) (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(neg.f64 (tan.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64))))))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal 2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) x (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x x) (/.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64) (/.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))
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(*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/191102976 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(*.f64 x (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/24 binary64))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/24 binary64))))
(*.f64 (*.f64 x #s(literal 1/24 binary64)) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64)))) x)
(*.f64 (exp.f64 (log.f64 #s(literal 1/24 binary64))) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

simplify347.0ms (3.4%)

Memory
9.2MiB live, 377.5MiB allocated
Algorithm
egg-herbie
Rules
5 696×*-lowering-*.f32
5 696×*-lowering-*.f64
4 508×accelerator-lowering-fma.f32
4 508×accelerator-lowering-fma.f64
2 714×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035420
1103420
2269420
3634420
41202420
52864420
63605420
74176420
84524420
94974420
105528420
116244420
126566420
136776420
146904420
157038420
167177420
08078396
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (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)
(pow x 2)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/240 binary64) (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)))))))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.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)
(pow x 2)
(*.f64 x x)

eval48.0ms (0.5%)

Memory
21.6MiB live, 100.3MiB allocated
Compiler

Compiled 9 766 to 930 computations (90.5% saved)

prune46.0ms (0.5%)

Memory
-5.7MiB live, 112.6MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3914395
Fresh000
Picked134
Done000
Total3927399
Accuracy
100.0%
Counts
399 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 x #s(literal 2 binary64))
53.8%
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
53.0%
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
53.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
53.2%
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
7.6%
#s(literal 1 binary64)
Compiler

Compiled 161 to 71 computations (55.9% saved)

simplify477.0ms (4.6%)

Memory
-14.8MiB live, 503.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/24 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
cost-diff0
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
cost-diff0
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
cost-diff0
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
Rules
8 394×accelerator-lowering-fma.f32
8 394×accelerator-lowering-fma.f64
5 474×+-lowering-+.f64
5 474×+-lowering-+.f32
5 060×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044496
1145438
2524438
32157438
43307438
55676438
08655393
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
1
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
1/4
(* (* x (* x (* x x))) -1/576)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/576
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
x
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(* x (* x x))
(* x x)
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
1/64
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(- (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))
1/16
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)
1/4
(- (* x (* x (* x 1/24))) (/ x -2))
(* x (* x (* x 1/24)))
x
(* x (* x 1/24))
(* x 1/24)
1/24
(/ x -2)
-2
Outputs
1
#s(literal 1 binary64)
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
x
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* x (* x (* x x))) -1/576)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/576 binary64)))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
-1/576
#s(literal -1/576 binary64)
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal -1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/13824 (* x (* x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
1/13824
#s(literal 1/13824 binary64)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(*.f64 x (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))))
x
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(*.f64 x (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/13824 (* x (* x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
1/13824
#s(literal 1/13824 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))
(+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))))
1/64
#s(literal 1/64 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))))))
(* (* x x) (- (* (* x x) 1/576) 1/48))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))
(- (* (* x x) 1/576) 1/48)
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))
(* (* x x) 1/576)
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))
(+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)))
(+.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64))))))
1/16
#s(literal 1/16 binary64)
(* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))
(*.f64 x (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64)))))
(- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4)
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))) #s(literal -1/4 binary64))
1/4
#s(literal 1/4 binary64)
(- (* x (* x (* x 1/24))) (/ x -2))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)) (/.f64 x #s(literal 2 binary64)))
(* x (* x (* x 1/24)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))
x
(* x (* x 1/24))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ x -2)
(/.f64 x #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize174.0ms (1.7%)

Memory
11.9MiB live, 290.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
accuracy99.6%
(*.f64 x #s(literal 1/24 binary64))
accuracy99.4%
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
accuracy66.5%
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
accuracy57.1%
(/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))
accuracy99.4%
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
accuracy72.4%
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
accuracy62.4%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
Samples
87.0ms255×0valid
1.0ms5exit
Compiler

Compiled 648 to 46 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 26.0ms (41% of total)
const: 20.0ms (31.6% of total)
ival-add: 7.0ms (11% of total)
ival-div: 5.0ms (7.9% of total)
ival-sub: 4.0ms (6.3% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-5.1MiB live, 33.2MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (+ 1/4 (* (* x (* x (* x x))) -1/576))>
#<alt (* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))>
#<alt (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))>
#<alt (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))>
#<alt (- (* x (* x (* x 1/24))) (/ x -2))>
#<alt (* x (* x (* x 1/24)))>
#<alt (* x (* x 1/24))>
#<alt (* x 1/24)>
#<alt (* (* x x) 1/576)>
#<alt (* 1/13824 (* x (* x x)))>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))>
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt (/ 24 (pow x 2))>
#<alt (/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (+ 1/4 (* -1/576 (pow x 4)))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* -1/576 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 8 x)>
#<alt (* x (+ 8 (* 1/108 (pow x 6))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))>
#<alt (* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))>
#<alt (/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))>
#<alt (/ 13824 (pow x 5))>
#<alt (/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* 1/8 x)>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* x (+ 1/8 (* 1/13824 (pow x 6))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 7))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt 1/8>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (+ 1/8 (* 1/13824 (pow x 6)))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/13824 (pow x 6))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 3))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 (pow x 2))>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
Calls

42 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
2.0ms
x
@0
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
2.0ms
x
@inf
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
2.0ms
x
@0
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
1.0ms
x
@inf
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))

rewrite596.0ms (5.8%)

Memory
49.1MiB live, 977.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 132×/-lowering-/.f32
5 132×/-lowering-/.f64
5 108×*-lowering-*.f32
5 108×*-lowering-*.f64
3 360×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043248
1272208
22512208
08502184
Stop Event
iter limit
node limit
Counts
14 → 687
Calls
Call 1
Inputs
(* x (* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ (+ 1/4 (* (* x (* x (* x x))) -1/576)) (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(+ 1/4 (* (* x (* x (* x x))) -1/576))
(* (/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48)))))) (+ 1/16 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (- (* (* x x) (- (* (* x x) 1/576) 1/48)) 1/4))))
(/ (* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/64 (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* (* x x) (- (* (* x x) 1/576) 1/48)) (* (* x x) (- (* (* x x) 1/576) 1/48))))))
(* x (+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(+ 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(- (* x (* x (* x 1/24))) (/ x -2))
(* x (* x (* x 1/24)))
(* x (* x 1/24))
(* x 1/24)
(* (* x x) 1/576)
(* 1/13824 (* x (* x x)))
Outputs
(+.f64 (*.f64 x (/.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))) (*.f64 x (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))
(+.f64 (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) x) (*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) x))
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 x (/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/24 binary64))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 3 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/13824 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))))
(*.f64 (*.f64 x #s(literal 1/13824 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/24 binary64)))
(*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x)

simplify357.0ms (3.5%)

Memory
-18.9MiB live, 589.9MiB allocated
Algorithm
egg-herbie
Rules
9 718×accelerator-lowering-fma.f32
9 718×accelerator-lowering-fma.f64
3 600×*-lowering-*.f32
3 600×*-lowering-*.f64
2 408×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371190
13441190
27881187
317511186
439871186
080591111
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/ 24 (pow x 2))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
1/4
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(+ 1/4 (* -1/576 (pow x 4)))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* -1/576 (pow x 4))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 8 x)
(* x (+ 8 (* 1/108 (pow x 6))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))
(/ 13824 (pow x 5))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))
(* 1/8 x)
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 7))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
1/8
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(+ 1/8 (* 1/13824 (pow x 6)))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/13824 (pow x 6))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 3))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 (pow x 2))
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -1/72 (pow x 4)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x #s(literal 1/864 binary64))))))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))))))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x))
(/ 24 (pow x 2))
(/.f64 #s(literal 24 binary64) (*.f64 x x))
(/ (- 24 (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (* 3456 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (- (+ 24 (/ 41472 (pow x 6))) (+ (* 3456 (/ 1 (pow x 4))) (* 5971968 (/ 1 (pow x 10))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal 41472 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -5971968 binary64) (pow.f64 x #s(literal 10 binary64))))) (*.f64 x x))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(+ 1/4 (* -1/576 (pow x 4)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* -1/576 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* -1/576 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/576))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 8 x)
(*.f64 x #s(literal 8 binary64))
(* x (+ 8 (* 1/108 (pow x 6))))
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/108 binary64))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* -1/864 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/108 binary64) (*.f64 x (*.f64 x #s(literal -1/864 binary64)))))))
(* x (+ 8 (* (pow x 6) (+ 1/108 (* (pow x 2) (- (* 1/10368 (pow x 2)) 1/864))))))
(*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/108 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/864 binary64) (*.f64 (*.f64 x x) #s(literal 1/10368 binary64)))))))))
(/ 13824 (pow x 5))
(/.f64 #s(literal 13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (/ 11943936 (pow x 4)))) (pow x 5))
(/.f64 (+.f64 #s(literal 13824 binary64) (+.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (/.f64 #s(literal 11943936 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 13824 (+ (* 497664 (/ 1 (pow x 2))) (+ (* 262766592 (/ 1 (pow x 6))) (/ 11943936 (pow x 4))))) (pow x 5))
(/.f64 (+.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (+.f64 #s(literal 13824 binary64) (+.f64 (/.f64 #s(literal 11943936 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 262766592 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 13824 (pow x 5))
(/.f64 #s(literal 13824 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 13824 (* 497664 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 #s(literal 497664 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (- (* -1 (/ (+ 497664 (* 11943936 (/ 1 (pow x 2)))) (pow x 2))) 13824) (pow x 5)))
(/.f64 (+.f64 #s(literal 13824 binary64) (/.f64 (+.f64 #s(literal 497664 binary64) (/.f64 #s(literal 11943936 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (- (* -1 (/ (+ 11943936 (* 262766592 (/ 1 (pow x 2)))) (pow x 4))) (+ 13824 (* 497664 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 #s(literal 13824 binary64) (-.f64 (/.f64 #s(literal 497664 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -11943936 binary64) (/.f64 #s(literal -262766592 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/8 x)
(*.f64 x #s(literal 1/8 binary64))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* x (+ 1/8 (* 1/13824 (pow x 6))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 7))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 7))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
(* (pow x 7) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* 1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(+ 1/8 (* 1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(+ 1/8 (* 1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* 1/13824 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* (pow x 6) (+ 1/13824 (* 1/8 (/ 1 (pow x 6)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/13824 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 3) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))
(* 1/13824 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/13824 binary64))))

eval170.0ms (1.7%)

Memory
6.8MiB live, 268.9MiB allocated
Compiler

Compiled 93 040 to 2 752 computations (97% saved)

prune103.0ms (1%)

Memory
-8.5MiB live, 201.5MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New9553958
Fresh000
Picked224
Done033
Total9578965
Accuracy
100.0%
Counts
965 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 x #s(literal 2 binary64))
53.8%
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
53.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
53.4%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
53.7%
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
53.8%
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
7.6%
#s(literal 1 binary64)
Compiler

Compiled 139 to 83 computations (40.3% saved)

simplify653.0ms (6.4%)

Memory
5.6MiB live, 836.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))))))
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
cost-diff0
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
cost-diff0
(*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
cost-diff0
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
Rules
18 468×accelerator-lowering-fma.f32
18 468×accelerator-lowering-fma.f64
5 814×+-lowering-+.f64
5 814×+-lowering-+.f32
4 700×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036489
1127431
2591431
32584431
44802431
56006431
08273384
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(+ 2 (* -1/72 (* x (* x (* x x)))))
2
(* -1/72 (* x (* x (* x x))))
-1/72
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
1/4
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))))
2
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))
-1/72
(* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))
(+ 1/864 (* (* x (* x (* x x))) -1/124416))
1/864
(* (* x (* x (* x x))) -1/124416)
-1/124416
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
1/4
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
x
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
1/4
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
1/8
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(* 1/13824 (* x (* x x)))
1/13824
(* x (* x x))
(* x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(+ (* (* x x) 1/576) 1/48)
(* (* x x) 1/576)
1/576
1/48
Outputs
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x))))))
x
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))))
(+ 2 (* -1/72 (* x (* x (* x x)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x))))
2
#s(literal 2 binary64)
(* -1/72 (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/72 binary64) (*.f64 x x)))
-1/72
#s(literal -1/72 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(*.f64 x (*.f64 x #s(literal 1/576 binary64)))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))))))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))))
x
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))))))))
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))))))))
2
#s(literal 2 binary64)
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))
(+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))))
-1/72
#s(literal -1/72 binary64)
(* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))))
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))))
(+ 1/864 (* (* x (* x (* x x))) -1/124416))
(+.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64))))
1/864
#s(literal 1/864 binary64)
(* (* x (* x (* x x))) -1/124416)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/124416 binary64)))
-1/124416
#s(literal -1/124416 binary64)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(*.f64 x (*.f64 x #s(literal 1/576 binary64)))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
x
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))))
1/4
#s(literal 1/4 binary64)
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* 1/13824 (* x (* x x))) (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))
(* 1/13824 (* x (* x x)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
1/13824
#s(literal 1/13824 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))))
(+ (* (* x x) 1/576) 1/48)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64))
(* (* x x) 1/576)
(*.f64 x (*.f64 x #s(literal 1/576 binary64)))
1/576
#s(literal 1/576 binary64)
1/48
#s(literal 1/48 binary64)

localize178.0ms (1.7%)

Memory
-21.2MiB live, 324.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
accuracy81.1%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
accuracy62.6%
(*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))
accuracy99.4%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))
accuracy99.6%
(*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
Samples
90.0ms256×0valid
Compiler

Compiled 557 to 38 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 36.0ms (51.8% of total)
const: 19.0ms (27.4% of total)
ival-add: 10.0ms (14.4% of total)
ival-div: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (+ 2 (* -1/72 (* x (* x (* x x)))))>
#<alt (* -1/72 (* x (* x (* x x))))>
#<alt (* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))))>
#<alt (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))>
#<alt (* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))>
#<alt (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))>
#<alt (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))>
#<alt (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))>
#<alt (* (* x x) 1/576)>
#<alt (* (* x x) (+ (* (* x x) 1/576) 1/48))>
#<alt (* x (* x x))>
#<alt (* (* x (* x (* x x))) -1/124416)>
#<alt (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))>
#<alt (* 1/13824 (* x (* x x)))>
Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))))>
#<alt (* -1/41472 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* -1/41472 (pow x 9))>
#<alt (* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6)))))>
#<alt (* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))>
#<alt (* -1/41472 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* -1/41472 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (* -1/72 (pow x 4))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* -1/72 (pow x 4))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* -1/72 (pow x 4))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10))))))>
#<alt (* -1/71663616 (pow x 15))>
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* (pow x 15) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1/71663616 (pow x 15))>
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 15) (- (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))) (/ 1/24 (pow x 12)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10)))))>
#<alt (* -1/71663616 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1/71663616 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/72 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))>
#<alt (+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))>
#<alt (* -1/124416 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* -1/124416 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* -1/72 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))>
#<alt (* -1/124416 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* -1/124416 (pow x 10))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)>
#<alt (/ -6 x)>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/24 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/864 (pow x 6)))>
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))>
#<alt (+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))>
#<alt (/ -3456 (pow x 6))>
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ -3456 (pow x 6))>
#<alt (* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))>
#<alt 1/8>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (+ 1/8 (* -1/13824 (pow x 6)))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* -1/13824 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/576 (pow x 2))>
#<alt (* 1/48 (pow x 2))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* 1/576 (pow x 4))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/576 (* 1/48 (/ 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 (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* -1/124416 (pow x 4))>
#<alt (* 1/864 x)>
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))>
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))>
#<alt (* x (+ 1/864 (* -1/124416 (pow x 4))))>
#<alt (* -1/124416 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))>
#<alt (* -1/124416 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
#<alt (* 1/13824 (pow x 3))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
1.0ms
x
@inf
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
1.0ms
x
@0
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
0.0ms
x
@inf
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
0.0ms
x
@inf
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))

rewrite669.0ms (6.5%)

Memory
14.0MiB live, 903.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 446×*-lowering-*.f32
4 446×*-lowering-*.f64
4 194×accelerator-lowering-fma.f32
4 194×accelerator-lowering-fma.f64
4 084×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036306
1230262
22195262
08374230
Stop Event
iter limit
node limit
Counts
18 → 797
Calls
Call 1
Inputs
(* x (* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (+ 2 (* -1/72 (* x (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(+ 2 (* -1/72 (* x (* x (* x x)))))
(* -1/72 (* x (* x (* x x))))
(* x (* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(+ 2 (* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))))))
(* (* x (* x (* x x))) (+ -1/72 (* x (* x (+ 1/864 (* (* x (* x (* x x))) -1/124416))))))
(* x (* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48)))))
(* (/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))) (+ 1/4 (* (* x x) (+ (* (* x x) 1/576) 1/48))))
(/ 1/4 (- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x)))))
(- 1/8 (* (* 1/13824 (* x (* x x))) (* x (* x x))))
(* (* x x) 1/576)
(* (* x x) (+ (* (* x x) 1/576) 1/48))
(* x (* x x))
(* (* x (* x (* x x))) -1/124416)
(* x (+ 1/864 (* (* x (* x (* x x))) -1/124416)))
(* 1/13824 (* x (* x x)))
Outputs
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))))
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) x))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))
(fma.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) x (*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x)))) x))
(fma.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(fma.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) (-.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x x))) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64)))
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(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
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(*.f64 (*.f64 x x) x)
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
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(*.f64 (*.f64 #s(literal -1/124416 binary64) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal -1/124416 binary64) (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x #s(literal 1/864 binary64)))
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(fma.f64 x #s(literal 1/864 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
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(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (*.f64 x #s(literal 1/864 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/124416 binary64) x) (*.f64 x #s(literal 1/864 binary64)))
(fma.f64 #s(literal 1/864 binary64) x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
(fma.f64 #s(literal -1/124416 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/864 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) x (*.f64 x #s(literal 1/864 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/124416 binary64) (*.f64 x #s(literal 1/864 binary64)))
(fma.f64 (*.f64 x #s(literal -1/124416 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/864 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))) (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))) (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))) (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64)))) (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64)))) (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x) (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x) (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))))) (neg.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))))) (neg.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/644972544 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))) #s(literal 1/864 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/746496 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/15479341056 binary64))) x)) (neg.f64 (-.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1925877696823296 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/644972544 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/864 binary64)) (*.f64 x #s(literal 1/864 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) (*.f64 x #s(literal 1/864 binary64))))))
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))))
(*.f64 (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/124416 binary64)))) x)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/13824 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/13824 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal 1/13824 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 1/13824 binary64)) x) x)

simplify440.0ms (4.3%)

Memory
-11.8MiB live, 593.2MiB allocated
Algorithm
egg-herbie
Rules
12 326×accelerator-lowering-fma.f32
12 326×accelerator-lowering-fma.f64
4 168×*-lowering-*.f32
4 168×*-lowering-*.f64
3 784×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481978
16781977
218441948
345371946
081861873
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))))
(* -1/41472 (pow x 9))
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* -1/41472 (pow x 9))
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6)))))
(* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2)))))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))
(* -1/41472 (pow x 8))
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* -1/41472 (pow x 8))
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* -1/72 (pow x 4)))
(* -1/72 (pow x 4))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* -1/72 (pow x 4))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* -1/72 (pow x 4))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10))))))
(* -1/71663616 (pow x 15))
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* (pow x 15) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1/71663616 (pow x 15))
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1 (* (pow x 15) (- (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2)))) (/ 1/24 (pow x 12)))))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10)))))
(* -1/71663616 (pow x 14))
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1/71663616 (pow x 14))
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* -1 (* (pow x 14) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
(* (pow x 14) (- (/ 1/24 (pow x 12)) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/72 (pow x 4)))
(+ 2 (* (pow x 4) (- (* 1/864 (pow x 2)) 1/72)))
(+ 2 (* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72)))
(* -1/124416 (pow x 10))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* -1/124416 (pow x 10))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* (pow x 10) (- (+ (* 1/864 (/ 1 (pow x 4))) (* 2 (/ 1 (pow x 10)))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* -1/72 (pow x 4))
(* (pow x 4) (- (* 1/864 (pow x 2)) 1/72))
(* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))
(* (pow x 4) (- (* (pow x 2) (+ 1/864 (* -1/124416 (pow x 4)))) 1/72))
(* -1/124416 (pow x 10))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* -1/124416 (pow x 10))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* (pow x 10) (- (* 1/864 (/ 1 (pow x 4))) (+ 1/124416 (/ 1/72 (pow x 6)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2))))))))
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) x)
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) x)
(/ -6 x)
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (/ 864 (pow x 4)))) x))
(* -1 (/ (+ 6 (+ (* 72 (/ 1 (pow x 2))) (+ (* 10368 (/ 1 (pow x 6))) (/ 864 (pow x 4))))) x))
1/2
(+ 1/2 (* 1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/288 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/288 (* 1/3456 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 72 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 72 (* 864 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 864 (* 10368 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 72 (/ 1 (pow x 2))))) (pow x 2))
2
(+ 2 (* 1/864 (pow x 6)))
(+ 2 (* (pow x 6) (+ 1/864 (* 1/1492992 (pow x 6)))))
(+ 2 (* (pow x 6) (+ 1/864 (* (pow x 6) (+ 1/1492992 (* 1/2579890176 (pow x 6)))))))
(/ -3456 (pow x 6))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
(/ -3456 (pow x 6))
(* -1 (/ (+ 3456 (* 5971968 (/ 1 (pow x 6)))) (pow x 6)))
(/ (- (* -1 (/ (+ 5971968 (* 10319560704 (/ 1 (pow x 6)))) (pow x 6))) 3456) (pow x 6))
(/ (- (* -1 (/ (+ 10319560704 (* 17832200896512 (/ 1 (pow x 6)))) (pow x 12))) (+ 3456 (* 5971968 (/ 1 (pow x 6))))) (pow x 6))
1/8
(+ 1/8 (* -1/13824 (pow x 6)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+ 1/8 (* -1/13824 (pow x 6)))
(* -1/13824 (pow x 6))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* -1/13824 (pow x 6))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/576 (pow x 2))
(* 1/48 (pow x 2))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* 1/576 (pow x 4))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 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)
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* -1/124416 (pow x 4))
(* 1/864 x)
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(* -1/124416 (pow x 5))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(* -1/124416 (pow x 5))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
(* 1/13824 (pow x 3))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/3456 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3456 binary64) (*.f64 (*.f64 x x) #s(literal -1/41472 binary64))))))))
(* -1/41472 (pow x 9))
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))
(* (pow x 9) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))))
(* (pow x 9) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* -1/41472 (pow x 9))
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))
(* -1 (* (pow x 9) (- (+ 1/41472 (* 1/3456 (/ 1 (pow x 2)))) (/ 1/24 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))))
(* -1 (* (pow x 9) (+ 1/41472 (+ (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 6))) (* 1/3456 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal -1/41472 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))
(+ 1/2 (* (pow x 2) (+ 1/24 (* -1/3456 (pow x 4)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/3456 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 4) (- (* -1/41472 (pow x 2)) 1/3456)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3456 binary64) (*.f64 (*.f64 x x) #s(literal -1/41472 binary64)))))))
(* -1/41472 (pow x 8))
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(* -1/41472 (pow x 8))
(*.f64 #s(literal -1/41472 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x))))
(* (pow x 8) (- (/ 1/24 (pow x 6)) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (/ 1/24 (pow x 6)) (* 1/2 (/ 1 (pow x 8)))) (+ 1/41472 (* 1/3456 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3456 binary64) (*.f64 x x)) (+.f64 #s(literal -1/41472 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 8 binary64)))))))
2
#s(literal 2 binary64)
(+ 2 (* -1/72 (pow x 4)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(+ 2 (* -1/72 (pow x 4)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(+ 2 (* -1/72 (pow x 4)))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* (pow x 4) (- (* 2 (/ 1 (pow x 4))) 1/72))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64)))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* -1/72 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/72 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* -1/5971968 (pow x 10))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/5971968 binary64) (pow.f64 x #s(literal 10 binary64)))))))
(* -1/71663616 (pow x 15))
(*.f64 #s(literal -1/71663616 binary64) (pow.f64 x #s(literal 15 binary64)))
(* -1 (* (pow x 15) (+ 1/71663616 (* 1/5971968 (/ 1 (pow x 2))))))
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(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(+ 1/8 (* -1/13824 (pow x 6)))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* -1/13824 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* -1/13824 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* (pow x 6) (- (* 1/8 (/ 1 (pow x 6))) 1/13824))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/13824 binary64)))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/576 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/576 binary64))
(* 1/48 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/48 binary64)))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
(* (pow x 2) (+ 1/48 (* 1/576 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))
(* 1/576 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* 1/576 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/576 (* 1/48 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/48 binary64) (*.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))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* -1/124416 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))
(* 1/864 x)
(*.f64 x #s(literal 1/864 binary64))
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))
(* x (+ 1/864 (* -1/124416 (pow x 4))))
(*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64))))
(* -1/124416 (pow x 5))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/864 (/ 1 (pow x 4))) 1/124416))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1/124416 (pow x 5))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 1/124416 (* 1/864 (/ 1 (pow x 4))))))
(*.f64 (+.f64 #s(literal -1/124416 binary64) (/.f64 #s(literal 1/864 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))
(* 1/13824 (pow x 3))
(*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))

eval185.0ms (1.8%)

Memory
30.4MiB live, 292.1MiB allocated
Compiler

Compiled 88 358 to 4 028 computations (95.4% saved)

prune149.0ms (1.4%)

Memory
-11.6MiB live, 236.6MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1 210151 225
Fresh000
Picked303
Done055
Total1 213201 233
Accuracy
100.0%
Counts
1 233 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
2.6%
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
54.3%
(/.f64 x #s(literal 2 binary64))
2.7%
(/.f64 #s(literal -6 binary64) x)
53.8%
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
53.3%
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x))
2.6%
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
2.7%
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
53.8%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
53.2%
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))
53.0%
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))))
53.3%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
53.2%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64))))))))
11.3%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))))))
28.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))))))
53.2%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)))))))
53.4%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64))))))
53.4%
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
7.6%
#s(literal 1 binary64)
Compiler

Compiled 1 586 to 503 computations (68.3% saved)

regimes24.0ms (0.2%)

Memory
-16.2MiB live, 22.7MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64))))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)))))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Calls

2 calls:

8.0ms
x
7.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/13824 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))) x))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/864 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/124416 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/576 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) #s(literal -1/2304 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64))))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/331776 binary64)) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 x x) #s(literal 1/27648 binary64)))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) #s(literal 1/110592 binary64)) (*.f64 x x)))))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/191102976 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))))))
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))) #s(literal 1/4 binary64)))))
(*.f64 x (*.f64 (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) (-.f64 #s(literal 1/512 binary64) (*.f64 #s(literal 1/2641807540224 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))))))
(pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
Outputs
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64))))))
#s(literal 1 binary64)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
57.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
Outputs
(*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))))))
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
57.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
Outputs
(*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64))))))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
57.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) x)
(*.f64 x (/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 864 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)))
Outputs
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
57.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
-32.5MiB live, 5.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -72 binary64) (*.f64 x x))) x)
Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))))
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
57.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
(/.f64 x #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal -6 binary64) (*.f64 x x)))
Outputs
(/.f64 x #s(literal 2 binary64))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
57.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Accuracy

Total -3.7b remaining (-6.3%)

Threshold costs -3.7b (-6.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -6 binary64) x)
Outputs
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
7.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3461.7548748308004
5746595.441884308
Samples
12.0ms128×0valid
Compiler

Compiled 315 to 194 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (41.7% of total)
ival-sin: 4.0ms (41.7% of total)
ival-sub: 1.0ms (10.4% of total)
ival-div: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-15.7MiB live, 22.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3461.7548748308004
5746595.441884308
Samples
14.0ms128×0valid
Compiler

Compiled 299 to 178 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (53.9% of total)
ival-cos: 4.0ms (35.9% of total)
ival-sub: 1.0ms (9% of total)
ival-div: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-15.7MiB live, 24.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3461.7548748308004
5746595.441884308
Samples
12.0ms128×0valid
Compiler

Compiled 267 to 178 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 4.0ms (41.3% of total)
ival-sin: 4.0ms (41.3% of total)
ival-sub: 1.0ms (10.3% of total)
ival-div: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
22.9MiB live, 22.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
9.998145870953706e-8
3.5357321126559125
Samples
11.0ms144×0valid
Compiler

Compiled 155 to 118 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (35.8% of total)
ival-sin: 3.0ms (35.8% of total)
ival-sub: 1.0ms (11.9% of total)
ival-div: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-10.9MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
9.998145870953706e-8
3.5357321126559125
Samples
12.0ms144×0valid
Compiler

Compiled 137 to 109 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 4.0ms (43% of total)
ival-sin: 3.0ms (32.3% of total)
ival-sub: 1.0ms (10.8% of total)
ival-div: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
9.998145870953706e-8
3.5357321126559125
Samples
11.0ms144×0valid
Compiler

Compiled 83 to 73 computations (12% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-cos: 3.0ms (37.7% of total)
ival-sin: 3.0ms (37.7% of total)
ival-sub: 1.0ms (12.6% of total)
ival-div: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify14.0ms (0.1%)

Memory
-19.2MiB live, 17.7MiB allocated
Algorithm
egg-herbie
Rules
62×*-commutative_binary64
34×+-commutative_binary64
20×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061149
1101149
2124149
3143149
4158149
5164149
6165149
Stop Event
saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x #s(literal 1/576 binary64)) x) #s(literal 1/48 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/576 binary64))) #s(literal 1/48 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2600000 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/72 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6980579422424269/2251799813685248 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.1s (11.1%)

Memory
16.5MiB live, 849.9MiB allocated
Rules
19 148×accelerator-lowering-fma.f32
19 148×accelerator-lowering-fma.f64
12 326×accelerator-lowering-fma.f32
12 326×accelerator-lowering-fma.f64
9 718×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0612
13512
224112
3235111
0888411
02481978
16781977
218441948
345371946
081861873
079286
1224286
2555280
31656280
43000280
54243280
64592280
75323280
86815280
08390256
036306
1230262
22195262
08374230
01371190
13441190
27881187
317511186
439871186
080591111
01332
15832
229832
3219332
0819330
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 397 to 214 computations (46.1% saved)

preprocess259.0ms (2.5%)

Memory
-16.7MiB live, 188.8MiB allocated
Remove

(negabs x)

Compiler

Compiled 336 to 150 computations (55.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...