ENA, Section 1.4, Exercise 4a

Time bar (total: 14.9s)

analyze2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.4s (29.7%)

Memory
-77.5MiB live, 4 283.9MiB allocated
Samples
3.2s5 661×2valid
540.0ms2 451×1valid
9.0ms144×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-sin: 2.3s (68.7% of total)
ival-sub: 323.0ms (9.5% of total)
ival-div: 318.0ms (9.4% of total)
adjust: 177.0ms (5.2% of total)
ival-<=: 158.0ms (4.7% of total)
ival-tan: 56.0ms (1.7% of total)
ival-and: 12.0ms (0.4% of total)
exact: 11.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess75.0ms (0.5%)

Memory
-11.9MiB live, 69.6MiB allocated
Algorithm
egg-herbie
Rules
272×lower-fma.f64
272×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
140×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
12617
27614
322914
457214
578414
681714
785514
888414
057
097
1147
2217
3337
4587
5887
61447
72347
84147
96737
106807
117187
127477
07477
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

explain361.0ms (2.4%)

Memory
9.6MiB live, 361.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
771(2.8222563718096096e-108)0-(-.f64 x (sin.f64 x))
500-3(1.3706539879848652e-107)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-(tan.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation780
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n470
(-.f64 x (sin.f64 x))underflow178
Confusion
Predicted +Predicted -
+1250
-0131
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-00131
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
264.0ms366×2valid
15.0ms136×1valid
1.0ms10×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
ival-sin: 227.0ms (87.8% of total)
adjust: 11.0ms (4.3% of total)
ival-div: 10.0ms (3.9% of total)
ival-sub: 7.0ms (2.7% of total)
ival-tan: 4.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify25.0ms (0.2%)

Memory
5.5MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(sin.f64 x)
cost-diff0
(-.f64 x (sin.f64 x))
cost-diff0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Rules
272×lower-fma.f64
272×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
140×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0916
11416
22116
33316
45816
58816
614416
723416
841416
967316
1068016
1171816
1274716
074716
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize97.0ms (0.6%)

Memory
-19.6MiB live, 217.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 x)
accuracy100.0%
(sin.f64 x)
accuracy83.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy73.5%
(-.f64 x (sin.f64 x))
Samples
78.0ms183×2valid
8.0ms68×1valid
0.0ms0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-sin: 54.0ms (73.4% of total)
ival-div: 7.0ms (9.5% of total)
adjust: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.4% of total)
ival-tan: 3.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))>
#<alt (-.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (tan.f64 x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- x (sin x)) (tan x))
1.0ms
x
@-inf
(/ (- x (sin x)) (tan x))
0.0ms
x
@0
(/ (- x (sin x)) (tan x))
0.0ms
x
@inf
(tan x)
0.0ms
x
@-inf
(tan x)

rewrite587.0ms (3.9%)

Memory
-7.8MiB live, 512.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 862×lower-*.f64
5 862×lower-*.f32
3 904×lower-/.f32
3 902×lower-/.f64
2 230×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0915
13715
226715
3309915
0902315
Stop Event
iter limit
node limit
iter limit
Counts
4 → 481
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)
Outputs
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (tan.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 x)) (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (tan.f64 x))))
(/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))

simplify396.0ms (2.7%)

Memory
30.7MiB live, 902.1MiB allocated
Algorithm
egg-herbie
Rules
18 358×lower-fma.f64
18 358×lower-fma.f32
5 180×lower-*.f64
5 180×lower-*.f32
3 422×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105408
1301384
2829384
32520348
45523342
08535318
Stop Event
iter limit
node limit
Counts
48 → 44
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval63.0ms (0.4%)

Memory
-6.7MiB live, 154.9MiB allocated
Compiler

Compiled 12 233 to 1 550 computations (87.3% saved)

prune94.0ms (0.6%)

Memory
7.1MiB live, 202.7MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5205525
Fresh000
Picked101
Done000
Total5215526
Accuracy
99.9%
Counts
526 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
99.4%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
99.7%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
98.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 130 to 80 computations (38.5% saved)

simplify67.0ms (0.4%)

Memory
-8.9MiB live, 148.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
Rules
2 152×lower-fma.f32
2 140×lower-fma.f64
696×lower-*.f32
672×lower-*.f64
634×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025221
051215
1122215
2315215
3617215
41084215
51553215
61618215
71621215
81622215
01622215
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(tan.f64 x)
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(*.f64 x x)
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(tan.f64 x)

localize119.0ms (0.8%)

Memory
-12.7MiB live, 327.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.9%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy83.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy99.4%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
accuracy99.4%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
accuracy99.8%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
accuracy99.4%
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
accuracy99.2%
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
Samples
73.0ms256×0valid
Compiler

Compiled 248 to 33 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 32.0ms (58.8% of total)
const: 12.0ms (22% of total)
ival-add: 6.0ms (11% of total)
ival-div: 2.0ms (3.7% of total)
ival-tan: 2.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
-0.5MiB live, 38.5MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))>
#<alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))>
#<alt (tan.f64 x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (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)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (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 (* -11/15120 x)>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt -23/360>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms
x
@inf
(* x (+ (* (* x x) -23/360) 1/6))
1.0ms
x
@inf
(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms
x
@0
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
1.0ms
x
@inf
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))

rewrite393.0ms (2.6%)

Memory
18.7MiB live, 568.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 070×lower-fma.f32
6 058×lower-fma.f64
4 856×lower-*.f32
4 832×lower-*.f64
4 378×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025176
051170
1207170
21432170
08189170
Stop Event
iter limit
node limit
iter limit
Counts
18 → 590
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(tan.f64 x)
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64))) (*.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 148035889/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 16194277/161273449709568000000 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal 12167/46656000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 279841/16796160000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 64009/29628426240000 binary64)))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -279841/16796160000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) (*.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64))) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))

simplify552.0ms (3.7%)

Memory
13.2MiB live, 570.0MiB allocated
Algorithm
egg-herbie
Rules
16 412×lower-fma.f64
16 412×lower-fma.f32
5 598×lower-*.f64
5 598×lower-*.f32
2 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01661944
15071938
216601914
351851906
085641815
Stop Event
iter limit
node limit
Counts
216 → 215
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(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)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(* -143/604800 (pow x 5))
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -143/604800 (pow x 5))
(*.f64 #s(literal -143/604800 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 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)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 5))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/270 binary64) #s(literal -1/18 binary64))) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2835 binary64)) #s(literal -1/270 binary64)) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (cos.f64 x))))) (sin.f64 x))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -143/604800 (pow x 3))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -143/604800 (pow x 3))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval205.0ms (1.4%)

Memory
-5.9MiB live, 266.6MiB allocated
Compiler

Compiled 28 708 to 2 550 computations (91.1% saved)

prune86.0ms (0.6%)

Memory
6.1MiB live, 244.0MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New88510895
Fresh000
Picked145
Done000
Total88614900
Accuracy
100.0%
Counts
900 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
99.3%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
99.5%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
99.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
24.4%
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
98.7%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.5%
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
99.5%
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
99.4%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
99.7%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
99.2%
(*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))))
98.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 488 to 253 computations (48.2% saved)

simplify78.0ms (0.5%)

Memory
-25.4MiB live, 62.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
cost-diff640
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x)
cost-diff0
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
cost-diff640
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
Rules
962×lower-*.f32
934×lower-*.f64
848×lower-fma.f32
838×lower-fma.f64
650×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030239
056241
1111227
2224221
3427210
4593210
5792210
6838210
7862210
8868210
91084210
101125210
111128210
121134210
131170210
141170210
151268210
161268210
171268210
01268203
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
x
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x)
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
(*.f64 x #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
(*.f64 x #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal -23/360 binary64)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize131.0ms (0.9%)

Memory
20.1MiB live, 209.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
accuracy99.4%
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)
accuracy99.4%
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy99.2%
(*.f64 x #s(literal -23/360 binary64))
accuracy100.0%
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
accuracy99.6%
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
accuracy99.7%
(*.f64 x #s(literal -11/15120 binary64))
accuracy99.4%
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy99.2%
(*.f64 x #s(literal -23/360 binary64))
Samples
79.0ms256×0valid
Compiler

Compiled 259 to 36 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 24.0ms (43.4% of total)
const: 21.0ms (38% of total)
ival-div: 5.0ms (9% of total)
ival-add: 5.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-10.3MiB live, 27.7MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x)>
#<alt (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))>
#<alt (*.f64 (*.f64 x x) #s(literal -23/360 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 x (*.f64 x #s(literal 1/6 binary64)))>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))>
#<alt (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))>
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)>
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))>
#<alt (*.f64 x #s(literal -23/360 binary64))>
#<alt (*.f64 x #s(literal -11/15120 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))>
Outputs
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -23/360 (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)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 6>
#<alt (+ 6 (* 23/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* 529/129600 (pow x 5))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt -1/36>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (/ (* (+ (* (* x x) (* (* x x) 529/129600)) -1/36) x) (+ (* (* x x) -23/360) -1/6)))
1.0ms
x
@0
(* x (/ (* (+ (* (* x x) (* (* x x) 529/129600)) -1/36) x) (+ (* (* x x) -23/360) -1/6)))
0.0ms
x
@inf
(* (+ (* (* x x) (* (* x x) 529/129600)) -1/36) x)
0.0ms
x
@-inf
(* (* x (* x -11/15120)) x)
0.0ms
x
@inf
(/ (* (+ (* (* x x) (* (* x x) 529/129600)) -1/36) x) (+ (* (* x x) -23/360) -1/6))

rewrite378.0ms (2.5%)

Memory
12.7MiB live, 622.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 770×lower-fma.f32
9 760×lower-fma.f64
4 474×lower-*.f32
4 446×lower-*.f64
3 746×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030192
056187
1206152
21352150
08340142
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 048
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 x #s(literal -11/15120 binary64))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
Outputs
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(+.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 121/228614400 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))))
(+.f64 (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 121/228614400 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 121/228614400 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)))))
(fma.f64 x (fma.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x) (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x x)) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x #s(literal -23/360 binary64)) x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 x x))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (fma.f64 (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64)))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -1/1296 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -1/1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))
(*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -11/15120 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
(/.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(*.f64 #s(literal 529/129600 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 529/129600 binary64)) x)

simplify290.0ms (1.9%)

Memory
-3.2MiB live, 386.6MiB allocated
Algorithm
egg-herbie
Rules
10 858×lower-fma.f64
10 858×lower-fma.f32
4 190×lower-*.f64
4 190×lower-*.f32
2 146×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171708
13181708
29001696
323411696
456531696
084111608
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
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(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
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(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -11/15120 (pow x 3))
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(* -11/15120 (pow x 3))
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(* -11/15120 (pow x 3))
(* -11/15120 (pow x 3))
(* -11/15120 (pow x 3))
(* -11/15120 (pow x 3))
(* -11/15120 (pow x 3))
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(* -11/15120 (pow x 3))
(* -11/15120 (pow x 3))
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
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(* 1/6 x)
(* 1/6 x)
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(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
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(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
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(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
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(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (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)
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
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(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
Outputs
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -11/15120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -11/15120 (pow x 6))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -11/15120 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 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)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 23/10 binary64) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 529/600 binary64) #s(literal 23/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 12167/36000 binary64)) #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)))) (*.f64 x x))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)))) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 5))
(*.f64 x (*.f64 (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 529/129600 (pow x 5))
(*.f64 x (*.f64 (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* 529/129600 (pow x 4))
(*.f64 (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) x)
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* 529/129600 (pow x 4))
(*.f64 (*.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x x))) x)
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))

eval256.0ms (1.7%)

Memory
32.4MiB live, 229.3MiB allocated
Compiler

Compiled 52 200 to 3 113 computations (94% saved)

prune2.2s (14.6%)

Memory
-21.3MiB live, 213.0MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1 58441 588
Fresh325
Picked235
Done044
Total1 589131 602
Accuracy
100.0%
Counts
1 602 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
99.4%
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
98.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
99.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
98.7%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.3%
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
99.5%
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
99.4%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
99.7%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
98.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 255 to 161 computations (36.9% saved)

simplify722.0ms (4.8%)

Memory
-17.8MiB live, 232.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x #s(literal -1/36 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
cost-diff128
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x #s(literal -23/360 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff384
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
Rules
7 212×lower-*.f32
7 200×lower-*.f64
4 032×cube-prod
3 136×lower-pow.f64
3 136×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021168
037170
163160
2113160
3257160
4354160
5440160
6530160
7639160
8705157
9865156
10934156
111489156
121718156
131900156
142128156
152457156
162912156
173529156
183781156
193937156
204099156
214211156
224323156
235053156
246168156
256634156
266820156
276924156
287024156
297142156
307254156
317366156
327478156
337516156
347524156
08152155
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
x
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
x
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
x
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
Outputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x x)
x
#s(literal 6 binary64)
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
x
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 #s(literal -1/36 binary64) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
x
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/36 binary64) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 x #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
x
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)

localize102.0ms (0.7%)

Memory
30.8MiB live, 68.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy99.7%
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy99.2%
(*.f64 x #s(literal -23/360 binary64))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
accuracy99.8%
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
accuracy99.4%
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
accuracy99.4%
(*.f64 x #s(literal -1/36 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
accuracy99.7%
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy99.2%
(*.f64 x #s(literal -23/360 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
accuracy99.8%
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
accuracy99.2%
(*.f64 x #s(literal -23/360 binary64))
Samples
50.0ms256×0valid
Compiler

Compiled 183 to 25 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
const: 12.0ms (34.4% of total)
ival-mult: 11.0ms (31.5% of total)
ival-div: 9.0ms (25.8% of total)
ival-add: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))>
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))>
#<alt (*.f64 x #s(literal -23/360 binary64))>
#<alt (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))>
#<alt (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))>
#<alt (*.f64 x #s(literal -1/36 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))>
Outputs
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 6>
#<alt (+ 6 (* 23/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))>
#<alt (/ 10/23 x)>
#<alt (/ (- 10/23 (* 600/529 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6))))) x)>
#<alt (/ 10/23 x)>
#<alt (* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) 10/23) x))>
#<alt (* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt -1/6>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (* -23/360 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))>
#<alt (/ -360/23 (pow x 4))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))>
#<alt (/ -360/23 (pow x 4))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ (* x -1/36) (+ (* (* x x) -23/360) -1/6))
0.0ms
x
@inf
(* x -1/36)
0.0ms
x
@-inf
(* x -1/36)
0.0ms
x
@0
(* x (/ (* x -1/36) (+ (* (* x x) -23/360) -1/6)))
0.0ms
x
@inf
(* x (/ (* x -1/36) (+ (* (* x x) -23/360) -1/6)))

rewrite688.0ms (4.6%)

Memory
-11.9MiB live, 338.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 210×lower-fma.f32
4 206×lower-fma.f64
4 130×lower-*.f32
4 118×lower-*.f64
3 210×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021114
037114
1140106
2695104
36906104
08787104
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 560
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 x #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
Outputs
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(+.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -23/360 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
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(*.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) x) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))

simplify332.0ms (2.2%)

Memory
29.6MiB live, 504.0MiB allocated
Algorithm
egg-herbie
Rules
9 282×lower-fma.f64
9 282×lower-fma.f32
3 386×lower-*.f64
3 386×lower-*.f32
2 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271364
13471364
29251352
323841352
457201352
083271274
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
(/ 10/23 x)
(/ (- 10/23 (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6))))) x)
(/ 10/23 x)
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) 10/23) x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(* -1 (/ (- (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
-1/6
(- (* -23/360 (pow x 2)) 1/6)
(- (* -23/360 (pow x 2)) 1/6)
(- (* -23/360 (pow x 2)) 1/6)
(* -23/360 (pow x 2))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
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(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 23/10 binary64) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 529/600 binary64) #s(literal 23/10 binary64)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 12167/36000 binary64) #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64)) (*.f64 x x))
(/ -360/23 (pow x 4))
(/.f64 #s(literal -360/23 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -360/23 (pow x 4))
(/.f64 #s(literal -360/23 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))

eval613.0ms (4.1%)

Memory
-5.4MiB live, 745.4MiB allocated
Compiler

Compiled 61 274 to 4 495 computations (92.7% saved)

prune346.0ms (2.3%)

Memory
4.3MiB live, 649.3MiB allocated
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New2 42952 434
Fresh101
Picked325
Done077
Total2 433142 447
Accuracy
100.0%
Counts
2 447 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
98.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
98.6%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
99.4%
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
98.7%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
98.7%
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1/6 binary64)))
98.8%
(*.f64 x (/.f64 x #s(literal 6 binary64)))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
99.4%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
99.7%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
98.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
4.2%
#s(literal 10/23 binary64)
Compiler

Compiled 498 to 198 computations (60.2% saved)

regimes15.0ms (0.1%)

Memory
-0.1MiB live, 39.2MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))))
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
Calls

2 calls:

7.0ms
x
7.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes11.0ms (0.1%)

Memory
-9.5MiB live, 29.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) x) x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
Calls

2 calls:

5.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.1%)

Memory
-18.5MiB live, 22.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Outputs
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
Outputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Outputs
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
-29.1MiB live, 10.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 10/23 binary64)
Outputs
#s(literal 10/23 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
4.2%1x
4.2%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02866
14066
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 10/23 binary64)
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 10/23 binary64)

soundness999.0ms (6.7%)

Memory
7.5MiB live, 668.3MiB allocated
Rules
18 358×lower-fma.f64
18 358×lower-fma.f32
10 858×lower-fma.f64
10 858×lower-fma.f32
9 282×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271364
13471364
29251352
323841352
457201352
083271274
0105408
1301384
2829384
32520348
45523342
08535318
025176
051170
1207170
21432170
08189170
01171708
13181708
29001696
323411696
456531696
084111608
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 188 to 108 computations (42.6% saved)

preprocess162.0ms (1.1%)

Memory
0.4MiB live, 206.7MiB allocated
Remove

(abs x)

Compiler

Compiled 288 to 152 computations (47.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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