ENA, Section 1.4, Exercise 4a

Time bar (total: 12.5s)

analyze2.0ms (0%)

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 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample4.2s (33.5%)

Results
3.1s5468×2valid
618.0ms2676×1valid
9.0ms112×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-sin: 2.2s (68.4% of total)
ival-div: 315.0ms (9.8% of total)
backward-pass: 267.0ms (8.3% of total)
ival-sub: 172.0ms (5.3% of total)
ival-tan: 159.0ms (4.9% of total)
ival-<=: 82.0ms (2.5% of total)
const: 12.0ms (0.4% of total)
ival-and: 11.0ms (0.3% of total)
Bogosity

preprocess124.0ms (1%)

Algorithm
egg-herbie
Rules
1088×sum4-define
894×sum3-define
752×fnmadd-define
618×fma-define
438×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
13222
28321
324421
474221
5155021
6277221
7281021
8305121
9306721
10306721
11306921
057
1107
2177
3307
4587
51087
62107
73947
88147
915867
1019677
1120057
1223747
1323907
023907
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- x (sin x)) (tan x))
Outputs
(/ (- x (sin x)) (tan x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Call 2
Inputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))
Outputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(/ (- x (sin x)) (tan x))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))
(/ (- (sin x) x) (tan x))
Symmetry

(abs x)

explain222.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
811(4.136928393674923e-108)0-(-.f64 x (sin.f64 x))
462(5.930065327023334e-162)4(5.91659177652156e-106)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-(tan.f64 x)
Results
166.0ms348×2valid
28.0ms160×1valid
0.0ms0valid
Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-sin: 112.0ms (72.5% of total)
backward-pass: 14.0ms (9.1% of total)
ival-div: 10.0ms (6.5% of total)
ival-sub: 9.0ms (5.8% of total)
ival-tan: 9.0ms (5.8% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
56.1%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify46.0ms (0.4%)

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
438×fnmadd-define
416×sum4-define
416×sum5-define
392×fmsub-define
388×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
11016
21716
33016
45816
510816
621016
739416
881416
9158616
10196716
11200516
12237416
13239016
0239016
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- x (sin x)) (tan x))
(- x (sin x))
x
(sin x)
(tan x)
Outputs
(/ (- x (sin x)) (tan x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(- x (sin x))
(-.f64 x (sin.f64 x))
x
(sin x)
(sin.f64 x)
(tan x)
(tan.f64 x)

localize104.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 x)
accuracy100.0%
(sin.f64 x)
accuracy85.3%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy71.6%
(-.f64 x (sin.f64 x))
Results
78.0ms174×2valid
13.0ms80×1valid
0.0ms0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sin: 52.0ms (73.2% of total)
backward-pass: 6.0ms (8.4% of total)
ival-div: 5.0ms (7% of total)
ival-sub: 4.0ms (5.6% of total)
ival-tan: 4.0ms (5.6% of total)
const: 0.0ms (0% of total)

series4.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ (- x (sin x)) (tan x))>
#<alt (- x (sin x))>
#<alt (sin x)>
#<alt (tan 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)

rewrite274.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
3116×*-lowering-*.f32
3116×*-lowering-*.f64
2236×/-lowering-/.f32
2236×/-lowering-/.f64
1840×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
13315
227415
3333215
0827115
Stop Event
iter limit
node limit
Counts
4 → 407
Calls
Call 1
Inputs
(/ (- x (sin x)) (tan x))
(- x (sin x))
(sin x)
(tan x)
Outputs
(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (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)) (cos.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 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 #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 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 #s(literal 2 binary64))))) (*.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)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -2 binary64)) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (+.f64 (/.f64 x (tan.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (tan.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (*.f64 (tan.f64 x) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 #s(literal 1 binary64) (-.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 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (-.f64 (sin.f64 x) x))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (sin.f64 x)) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(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) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(tan.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (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))
(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 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (*.f64 (cos.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) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))

simplify230.0ms (1.8%)

Algorithm
egg-herbie
Rules
4046×*-lowering-*.f32
4046×*-lowering-*.f64
3202×+-lowering-+.f64
3202×+-lowering-+.f32
1432×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0105401
1317344
2977332
33159302
46705296
08243296
Stop Event
iter limit
node limit
Counts
48 → 48
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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 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 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 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))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal 17/315 binary64))))))))))
(/ (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))

eval51.0ms (0.4%)

Compiler

Compiled 10821 to 1059 computations (90.2% saved)

prune56.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New44510455
Fresh000
Picked101
Done000
Total44610456
Accuracy
99.9%
Counts
456 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
56.0%
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
85.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
85.1%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
84.5%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
56.1%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.5%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
99.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
99.6%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
99.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 338 to 210 computations (37.9% saved)

simplify195.0ms (1.6%)

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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
cost-diff0
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
cost-diff0
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
Rules
2594×*-lowering-*.f32
2594×*-lowering-*.f64
2586×sum3-define
2096×fma-define
1800×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043398
1158345
2618345
31851345
44454345
56087345
67082345
77579345
87652345
97658345
107658345
08429345
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* 1/6 (* x x))
1/6
(* x x)
x
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(* x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
1/6
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
-11/15120
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
(* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))))
x
(* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))
(* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(* x x)
(+ -1/120 (* (* x x) 1/5040))
-1/120
(* (* x x) 1/5040)
1/5040
(tan x)
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* x (* x x))
x
(* x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
1/6
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
-1/120
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(+ 1/5040 (* (* x x) -1/362880))
1/5040
(* (* x x) -1/362880)
-1/362880
(tan x)
Outputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(* x x)
(*.f64 x x)
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* 1/6 (* x x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
(*.f64 x (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) (/.f64 (*.f64 x x) (tan.f64 x))))
(* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
x
(* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* x x)
(*.f64 x x)
(+ -1/120 (* (* x x) 1/5040))
(+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
-1/120
#s(literal -1/120 binary64)
(* (* x x) 1/5040)
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(tan x)
(tan.f64 x)
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (/.f64 (*.f64 x (*.f64 x x)) (tan.f64 x)))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* (* x x) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* x x) -1/362880)
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(tan x)
(tan.f64 x)

localize218.0ms (1.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
accuracy85.3%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
accuracy85.3%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
accuracy99.9%
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
Results
143.0ms256×0valid
Compiler

Compiled 478 to 44 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 39.0ms (44% of total)
...c/correct-round.rkt:119:19: 29.0ms (32.7% of total)
ival-add: 13.0ms (14.7% of total)
ival-div: 5.0ms (5.6% of total)
ival-tan: 2.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))>
#<alt (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))>
#<alt (* x (* x (+ -23/360 (* (* x x) -11/15120))))>
#<alt (/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))>
#<alt (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))))>
#<alt (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))>
#<alt (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))>
#<alt (/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))>
#<alt (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))>
#<alt (* x (* x x))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) -143/604800)>
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* (* x x) -11/15120)>
#<alt (* (* x x) (+ -1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) -1/362880)>
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 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (* (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>
#<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 (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (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) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))>
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin 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) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<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 (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin 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 (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<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 (* -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 (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -143/604800 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
Calls

69 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
1.0ms
x
@inf
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
1.0ms
x
@0
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
1.0ms
x
@-inf
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
1.0ms
x
@inf
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))

rewrite368.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
3568×fma-lowering-fma.f32
3568×fma-lowering-fma.f64
3212×*-lowering-*.f32
3212×*-lowering-*.f64
2002×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043266
1296229
22752229
08880229
Stop Event
iter limit
node limit
Counts
23 → 487
Calls
Call 1
Inputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* 1/6 (* x x))
(* x x)
(* (* x x) (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
(* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))))
(* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))
(* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* x (* x x))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) -143/604800)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x (+ -23/360 (* (* x x) -11/15120)))
(* (* x x) -11/15120)
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(* (* x x) -1/362880)
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
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(/.f64 (*.f64 x (+.f64 #s(literal -12167/46656000 binary64) (*.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))) (neg.f64 (-.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -12167/46656000 binary64) (*.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) x)
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -11/15120 binary64)) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 #s(literal -1/120 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/5040 binary64)) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) x) x (*.f64 x (*.f64 x #s(literal -1/120 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x)
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(*.f64 #s(literal -1/362880 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/362880 binary64)) x)

simplify358.0ms (2.9%)

Algorithm
egg-herbie
Rules
6366×*-lowering-*.f32
6366×*-lowering-*.f64
3144×+-lowering-+.f64
3144×+-lowering-+.f32
1406×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02432956
18222609
229452484
082022484
Stop Event
iter limit
node limit
Counts
276 → 276
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 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 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 (* (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
(+ 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))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (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))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (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))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (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) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))
(* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))
(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))
(* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))
(* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin 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) (- (* 1/5040 (pow x 2)) 1/120))))
(* 1/5040 (pow x 7))
(* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* 1/5040 (pow x 6))
(* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 6))
(* (pow x 6) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* 1/5040 (pow x 5))
(* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))
(* 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))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin 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))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 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)
(* -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)))))))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -11/15120 (pow x 2))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* 1/5040 (pow x 4))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 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) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) 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 1/6 binary64) (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)))))))
(* -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 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) 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 1/6 binary64) (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)))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) 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 1/6 binary64) (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)))))) (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 1/6 binary64) (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)))))) (pow.f64 x #s(literal 7 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) 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)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (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)))))))
(* -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 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) 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)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (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)))))))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(* -143/604800 (pow x 6))
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(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -11/15120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* -1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/120 binary64)))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* 1/5040 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/5040 binary64))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(* -1/362880 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))

eval123.0ms (1%)

Compiler

Compiled 28239 to 2487 computations (91.2% saved)

prune87.0ms (0.7%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New93013943
Fresh145
Picked145
Done000
Total93221953
Accuracy
100.0%
Counts
953 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
56.0%
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
84.9%
(/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
99.3%
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
85.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
85.1%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
84.6%
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
56.1%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.5%
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
17.4%
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.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)))))
99.5%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
99.5%
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))))))
99.5%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
99.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
99.0%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
33.5%
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))))
99.6%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
99.6%
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
99.6%
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
99.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1400 to 549 computations (60.8% saved)

simplify198.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff1408
(-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
cost-diff1664
(+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
cost-diff2048
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))
cost-diff2048
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))))
cost-diff0
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
cost-diff0
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x)
cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
cost-diff128
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64)))
cost-diff128
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.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 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
cost-diff0
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
Rules
3272×*-lowering-*.f32
3272×*-lowering-*.f64
1870×sum4-define
1448×sum3-define
1268×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0451284
1170922
2768889
34983889
08009889
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
x
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
1/36
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* x x)
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)))
x
(+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x x)
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* x 1/6)
1/6
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
x
(/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x)
(+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
1/216
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x x)
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))
1/36
(* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))
(- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)
1/6
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))))
x
(/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))
(+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
(* (* x (* x x)) 1/216)
(* x (* x x))
(* x x)
1/216
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
(* (* x 1/6) (* x 1/6))
(* x 1/6)
1/6
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
Outputs
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
x
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
1/36
#s(literal 1/36 binary64)
(* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(* x x)
(*.f64 x x)
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
-23/360
#s(literal -23/360 binary64)
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
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(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
-23/360
#s(literal -23/360 binary64)
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
(*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))) (*.f64 x #s(literal 1/36 binary64))))
(* (* x 1/6) (* x 1/6))
(*.f64 x (*.f64 x #s(literal 1/36 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))
(* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))

localize616.0ms (4.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy33.1%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))
accuracy99.7%
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.6%
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x)
accuracy99.5%
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
accuracy99.7%
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.7%
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.4%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x)
accuracy99.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
Results
175.0ms256×0valid
Compiler

Compiled 1812 to 46 computations (97.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 43.0ms (51.2% of total)
...c/correct-round.rkt:119:19: 22.0ms (26.2% of total)
ival-add: 9.0ms (10.7% of total)
ival-sub: 5.0ms (6% of total)
ival-div: 5.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series43.0ms (0.3%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)>
#<alt (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)))>
#<alt (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))>
#<alt (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))>
#<alt (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))>
#<alt (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x)>
#<alt (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))>
#<alt (* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))))>
#<alt (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))>
#<alt (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))>
#<alt (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* (* x x) -143/604800)>
#<alt (* (* x 1/6) (* x 1/6))>
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 (* 1/36 x)>
#<alt (* x (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))>
#<alt (* -20449/365783040000 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -20449/365783040000 (pow x 13))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 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 (* 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 (* (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 (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 3) (- (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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)))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (* 1/216 x)>
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))>
#<alt (* -2924207/221225582592000000 (pow x 19))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -2924207/221225582592000000 (pow x 19))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))>
#<alt 1/216>
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))>
#<alt (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))>
#<alt (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))>
#<alt (* -2924207/221225582592000000 (pow x 18))>
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -2924207/221225582592000000 (pow x 18))>
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 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) (- (* (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 (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* 23/2160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 14))>
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 14))>
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 23/2160 (pow x 4))>
#<alt (* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2))))>
#<alt (* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 14))>
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 14))>
#<alt (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<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 (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
1.0ms
x
@inf
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))))
1.0ms
x
@inf
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
0.0ms
x
@inf
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)
0.0ms
x
@0
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))

rewrite437.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3854×*-lowering-*.f32
3854×*-lowering-*.f64
1574×fma-lowering-fma.f32
1574×fma-lowering-fma.f64
1540×unpow-prod-down
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045782
1333383
23361373
08165373
Stop Event
iter limit
node limit
Counts
22 → 597
Calls
Call 1
Inputs
(* x (/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(/ (* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* (- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(- 1/36 (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(* (* x 1/6) x)
(* x 1/6)
(* x (+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6)))
(+ (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x 1/6))
(* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x (/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
(/ (* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x) (+ 1/36 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (- (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* (+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) x)
(+ 1/216 (* (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
(* x (/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))))
(/ (+ (* (* x (* x x)) 1/216) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))))
(+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))))
(- (* (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))) (* (* x 1/6) (* x (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(* (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))) (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(* (* x x) -143/604800)
(* (* x 1/6) (* x 1/6))
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))))
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))))))) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (*.f64 x (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/36 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal -1/6 binary64))))
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(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) #s(literal -23/360 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (-.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(pow.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x #s(literal -11/15120 binary64)))
(fma.f64 x #s(literal -11/15120 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(fma.f64 #s(literal -11/15120 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (+.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (-.f64 (*.f64 x #s(literal -11/15120 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64))))) (+.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64)))) (+.f64 #s(literal -11/15120 binary64) (*.f64 #s(literal 143/604800 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal -1331/3456649728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2924207/221225582592000000 binary64)))) x) (+.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 121/228614400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 20449/365783040000 binary64))) x) (+.f64 #s(literal -11/15120 binary64) (*.f64 #s(literal 143/604800 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(*.f64 (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))) x)
(*.f64 x (*.f64 x #s(literal -143/604800 binary64)))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -143/604800 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 #s(literal 1/36 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/36 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)

simplify281.0ms (2.2%)

Algorithm
egg-herbie
Rules
5594×*-lowering-*.f32
5594×*-lowering-*.f64
3456×+-lowering-+.f64
3456×+-lowering-+.f32
1382×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02703087
18632694
228942624
375802624
080632624
Stop Event
iter limit
node limit
Counts
264 → 264
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))))))
(* 1/36 x)
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))
(* -20449/365783040000 (pow x 13))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -20449/365783040000 (pow x 13))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 13) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6))))))))
1/36
(+ 1/36 (* -529/129600 (pow x 4)))
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))
(* -20449/365783040000 (pow x 12))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -20449/365783040000 (pow x 12))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 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))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (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))))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 3) (- (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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)))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* 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))))))
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))
(* -2924207/221225582592000000 (pow x 19))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -2924207/221225582592000000 (pow x 19))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))
1/216
(+ 1/216 (* -12167/46656000 (pow x 6)))
(+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))
(+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))
(* -2924207/221225582592000000 (pow x 18))
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -2924207/221225582592000000 (pow x 18))
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 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) (- (* (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))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* 23/2160 (pow x 2))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))))
(* 20449/365783040000 (pow x 14))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 14))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 23/2160 (pow x 4))
(* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2))))
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))
(* 20449/365783040000 (pow x 14))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 14))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 529/129600 (pow x 2))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(* -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))))))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* -143/604800 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 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) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -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 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.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 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (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 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* 1/36 x)
(*.f64 x #s(literal 1/36 binary64))
(* x (+ 1/36 (* -529/129600 (pow x 4))))
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64))))
(* x (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -253/2721600 binary64) (*.f64 x (*.f64 x #s(literal -70279/2286144000 binary64)))))))))
(* -20449/365783040000 (pow x 13))
(*.f64 #s(literal -20449/365783040000 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x))))
(* (pow x 13) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 (+.f64 #s(literal -1573/4572288000 binary64) (/.f64 #s(literal -70279/2286144000 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 13) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -70279/2286144000 binary64) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x)))))
(* -20449/365783040000 (pow x 13))
(*.f64 #s(literal -20449/365783040000 binary64) (pow.f64 x #s(literal 13 binary64)))
(* -1 (* (pow x 13) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x))))
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(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 23/2160 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 23/2160 binary64)))
(* (pow x 4) (+ 23/2160 (* 1271/302400 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) #s(literal 1271/302400 binary64)))))
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 1441/10886400 (pow x 2))))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1271/302400 binary64) (*.f64 (*.f64 x x) #s(literal 1441/10886400 binary64))))))))
(* (pow x 4) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 23/2160 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1271/302400 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1441/10886400 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64)))))))))
(* 20449/365783040000 (pow x 14))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 20449/365783040000 (pow x 14))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 14 binary64)))
(* (pow x 14) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 14 binary64)) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1441/10886400 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 529/129600 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/2721600 binary64))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) #s(literal 1573/4572288000 binary64))))))))
(* 20449/365783040000 (pow x 10))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 10 binary64)))
(* 20449/365783040000 (pow x 10))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 10 binary64)))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))

eval427.0ms (3.4%)

Compiler

Compiled 219622 to 5159 computations (97.7% saved)

prune226.0ms (1.8%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New202372030
Fresh6612
Picked415
Done044
Total2033182051
Accuracy
100.0%
Counts
2051 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
56.0%
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
85.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
85.1%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
99.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
56.1%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.5%
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
99.6%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
99.5%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
99.6%
(*.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
99.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
99.5%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
99.0%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.4%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
99.5%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
99.5%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
99.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 862 to 433 computations (49.8% saved)

simplify194.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))
cost-diff128
(-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))
cost-diff128
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
cost-diff0
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
cost-diff0
(-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
cost-diff0
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
cost-diff0
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
cost-diff0
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
cost-diff0
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
cost-diff0
(-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
cost-diff0
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
Rules
4944×*-lowering-*.f32
4944×*-lowering-*.f64
2600×+-lowering-+.f64
2600×+-lowering-+.f32
1162×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057696
1224580
2908520
34231517
08259517
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x))
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
1/36
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
x
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x)))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* x (* x x))
(* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)
(/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(* x x)
x
(+ 1/6 (* (* x x) -23/360))
1/6
(* (* x x) -23/360)
-23/360
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x))
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x x)
x
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
-23/360
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x))
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
1/36
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
x
(* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))
(* x (+ -23/360 (* x (* x -11/15120))))
(+ -23/360 (* x (* x -11/15120)))
-23/360
(* x (* x -11/15120))
(* x -11/15120)
-11/15120
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(* x x)
(- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))
1/6
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))
(- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))))
x
(* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))
1
(* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))
(* x x)
(+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))
-1/6
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
(* x (+ 1/120 (* (* x x) -1/5040)))
(+ 1/120 (* (* x x) -1/5040))
1/120
(* (* x x) -1/5040)
-1/5040
(tan x)
Outputs
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x))
(*.f64 x (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
1/36
#s(literal 1/36 binary64)
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
x
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))))
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x)))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
-23/360
#s(literal -23/360 binary64)
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x x)
(*.f64 x x)
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x)
(/.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) -23/360))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* (* x x) -23/360)
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
-23/360
#s(literal -23/360 binary64)
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
-23/360
#s(literal -23/360 binary64)
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(+ -11/15120 (* (* x x) -143/604800))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) -143/604800)
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
-143/604800
#s(literal -143/604800 binary64)
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
(+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
1/36
#s(literal 1/36 binary64)
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
x
(* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))
(* x (+ -23/360 (* x (* x -11/15120))))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(+ -23/360 (* x (* x -11/15120)))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* x (* x -11/15120))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* x -11/15120)
(*.f64 x #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(* x x)
(*.f64 x x)
(- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
1/6
#s(literal 1/6 binary64)
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))
(/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 #s(literal 0 binary64) x)))) (tan.f64 x))
(- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))))
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (-.f64 #s(literal 0 binary64) x))))
x
(* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
-1/6
#s(literal -1/6 binary64)
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(* x (+ 1/120 (* (* x x) -1/5040)))
(*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(+ 1/120 (* (* x x) -1/5040))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x x) -1/5040)
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64))
-1/5040
#s(literal -1/5040 binary64)
(tan x)
(tan.f64 x)

localize946.0ms (7.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))
accuracy85.3%
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
accuracy71.6%
(-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))))))
accuracy99.7%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x))
accuracy99.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
accuracy99.7%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
accuracy99.7%
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
accuracy99.6%
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
accuracy99.8%
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))
accuracy99.7%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
accuracy99.2%
(/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
Results
385.0ms131×2valid
192.0ms53×3valid
185.0ms70×1valid
1.0ms0valid
Compiler

Compiled 831 to 58 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 501.0ms
ival-mult: 258.0ms (51.5% of total)
...c/correct-round.rkt:119:19: 103.0ms (20.6% of total)
backward-pass: 59.0ms (11.8% of total)
ival-add: 32.0ms (6.4% of total)
ival-sub: 28.0ms (5.6% of total)
ival-div: 15.0ms (3% of total)
ival-tan: 4.0ms (0.8% of total)
const: 1.0ms (0.2% of total)

series14.0ms (0.1%)

Counts
28 → 336
Calls
Call 1
Inputs
#<alt (* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x))>
#<alt (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) -23/360)))>
#<alt (* x x)>
#<alt (+ 1/6 (* (* x x) -23/360))>
#<alt (* (* x x) -23/360)>
#<alt (* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x))>
#<alt (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))>
#<alt (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x))>
#<alt (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))>
#<alt (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))>
#<alt (/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))>
#<alt (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))))>
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))>
#<alt (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))>
#<alt (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x)))>
#<alt (* x (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* (* x x) -143/604800)>
#<alt (* x (+ -23/360 (* x (* x -11/15120))))>
#<alt (* (* x x) (+ -23/360 (* x (* x -11/15120))))>
#<alt (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))>
#<alt (* x (* x (+ 1/120 (* (* x x) -1/5040))))>
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 1/36>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* -20449/365783040000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 529/129600 (pow x 3))>
#<alt (* (pow x 3) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))>
#<alt (* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 11))>
#<alt (* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 11))>
#<alt (* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)))>
#<alt (* -1 (* (pow x 11) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -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 (* -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 (* 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>
#<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 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600))))>
#<alt (* -121/228614400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))>
#<alt (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))>
#<alt (* -121/228614400 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))>
#<alt (* (pow x 10) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -529/129600 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -121/228614400 (pow x 2)) 253/2721600)) 529/129600)))>
#<alt (* -121/228614400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))>
#<alt (* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))>
#<alt (* -121/228614400 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 253/2721600 (* 529/129600 (/ 1 (pow x 2)))) (pow x 2))) 121/228614400))>
#<alt (* (pow x 8) (- (* 1/36 (/ 1 (pow x 8))) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2)))))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))>
#<alt (* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))>
#<alt (* 121/228614400 (pow x 8))>
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* 121/228614400 (pow x 8))>
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 529/129600 (pow x 4)) (* 253/2721600 (/ 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) (- (* (pow x 2) (- (* -53/226800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/5040 (/ (cos x) (sin x)))))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))>
#<alt (* (pow x 7) (+ (* -1/120 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/5040 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x)))))))>
#<alt (* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 7) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin x))))))))>
#<alt (* -1 (* (pow x 7) (+ (* -1/6 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/5040 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 2) (sin 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) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))))>
#<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 (* -1/5040 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* 6 x)>
#<alt (* x (+ 6 (* -23/10 (pow x 2))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* 3593/4200 (pow x 2)) 23/10))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 3593/4200 (* -13709/42000 (pow x 2)))) 23/10))))>
#<alt (/ 604800/143 (pow x 5))>
#<alt (/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 5))>
#<alt (/ 604800/143 (pow x 5))>
#<alt (* -1 (/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6))))) (pow x 5)))>
#<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 (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 3) (- (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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)))))))>
#<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 (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -143/604800 (pow x 2))>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (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 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* -1/5040 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))>
Calls

84 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))
1.0ms
x
@inf
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))
1.0ms
x
@inf
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
0.0ms
x
@0
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
0.0ms
x
@inf
(* (* x x) (+ 1/6 (* (* x x) -23/360)))

rewrite438.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
4172×*-lowering-*.f32
4172×*-lowering-*.f64
2572×/-lowering-/.f32
2572×/-lowering-/.f64
1692×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057515
1422325
23708313
08794313
Stop Event
iter limit
node limit
Counts
28 → 642
Calls
Call 1
Inputs
(* (- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))) (* (/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))) x))
(- 1/36 (* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* x (* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* (* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x))) (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) (+ 1/6 (* (* x x) -23/360)))
(* x x)
(+ 1/6 (* (* x x) -23/360))
(* (* x x) -23/360)
(* (+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) (* x x))
(+ 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(/ (* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x)) (- 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(* (- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))) (* x x))
(- 1/36 (* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
(* x (* (* x (+ -23/360 (* x (* x -11/15120)))) (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(/ (- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))) (tan x))
(- x (* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))))
(* x (+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))))
(+ 1 (* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040)))))))
(/ x (- 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))) (* x (* x x)))
(* x (+ -11/15120 (* (* x x) -143/604800)))
(* (* x x) -143/604800)
(* x (+ -23/360 (* x (* x -11/15120))))
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(* (* x x) (+ -1/6 (* x (* x (+ 1/120 (* (* x x) -1/5040))))))
(* x (* x (+ 1/120 (* (* x x) -1/5040))))
Outputs
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(+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) x)

simplify336.0ms (2.7%)

Algorithm
egg-herbie
Rules
5634×*-lowering-*.f32
5634×*-lowering-*.f64
4646×+-lowering-+.f64
4646×+-lowering-+.f32
1698×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03693881
111823406
239703286
084243286
Stop Event
iter limit
node limit
Counts
336 → 336
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))))))
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1/36
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
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1/6
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1/6
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1/36
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(* 1/5040 (/ (* (pow x 7) (cos x)) (sin x)))
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x
(* x (+ 1 (* -1/6 (pow x 2))))
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(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
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(* 6 x)
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(/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))
(/ (- (+ 604800/143 (* 13575582720000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 5))
(/ 604800/143 (pow x 5))
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(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
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(* -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))))))
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(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
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(* -11/15120 (pow x 4))
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(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (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))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 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) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 1/6 binary64) (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 (*.f64 x x) (*.f64 x x))))))
(* -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 1/6 binary64) (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 (*.f64 x x) (*.f64 x x))))))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* -529/129600 (pow x 4)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -529/129600 binary64)))
(+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64)))))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal -70279/2286144000 binary64)))))))
(* -20449/365783040000 (pow x 12))
(*.f64 #s(literal -20449/365783040000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 (+.f64 #s(literal -1573/4572288000 binary64) (/.f64 #s(literal -70279/2286144000 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -70279/2286144000 binary64) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x)))))
(* -20449/365783040000 (pow x 12))
(*.f64 #s(literal -20449/365783040000 binary64) (pow.f64 x #s(literal 12 binary64)))
(* -1 (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 (+.f64 #s(literal -1573/4572288000 binary64) (/.f64 #s(literal -70279/2286144000 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 12) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -70279/2286144000 binary64) (/.f64 #s(literal -253/2721600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 #s(literal -1573/4572288000 binary64) (*.f64 x x)))))
(* 529/129600 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 529/129600 binary64))
(* (pow x 4) (+ 529/129600 (* 253/2721600 (pow x 2))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/2721600 binary64))))
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64))) x) x)))
(* (pow x 4) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) #s(literal 1573/4572288000 binary64)))))))))
(* 20449/365783040000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 20449/365783040000 binary64))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 20449/365783040000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 20449/365783040000 binary64))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 529/129600 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)))
(* (pow x 3) (+ 529/129600 (* 253/2721600 (pow x 2))))
(*.f64 (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) #s(literal 253/2721600 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(*.f64 (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal 70279/2286144000 binary64))) x) x)) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(*.f64 (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) #s(literal 1573/4572288000 binary64)))))))) (*.f64 x (*.f64 x x)))
(* 20449/365783040000 (pow x 11))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 x #s(literal 11 binary64)))
(* 20449/365783040000 (pow x 11))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 11 binary64)))
(* (pow x 11) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 11 binary64)))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000)))
(*.f64 (+.f64 #s(literal -20449/365783040000 binary64) (/.f64 (+.f64 #s(literal -1573/4572288000 binary64) (/.f64 #s(literal -70279/2286144000 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 11 binary64))))
(* -1 (* (pow x 11) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 11 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 70279/2286144000 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 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) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 x (*.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.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
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* -23/360 (pow x 2))
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(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))
(* -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 (/ (+ 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)))
(* -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 (*.f64 x x) (*.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 (*.f64 x x) (*.f64 x x)))))
(* -11/15120 x)
(*.f64 x #s(literal -11/15120 binary64))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -143/604800 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -143/604800 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 3))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 3))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -23/360 (pow x 2))
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
(* -11/15120 (pow x 4))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))))
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64))))
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64))))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/5040 binary64))))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal -1/5040 binary64))))))
(* -1/5040 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* -1/5040 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))

eval182.0ms (1.5%)

Compiler

Compiled 76033 to 3897 computations (94.9% saved)

prune155.0ms (1.2%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New137361379
Fresh448
Picked235
Done055
Total1379181397
Accuracy
100.0%
Counts
1397 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
56.0%
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
85.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
99.3%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
99.5%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
85.1%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
99.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
56.1%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))))) (*.f64 x x))
99.5%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
24.2%
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
99.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
99.5%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
46.3%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
99.0%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.5%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
99.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
99.4%
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
Compiler

Compiled 1641 to 442 computations (73.1% saved)

regimes25.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.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 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) (tan.f64 x))
(/.f64 (-.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))))))))) (tan.f64 x))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
(*.f64 x (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))))))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
Outputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
Calls

2 calls:

13.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes10.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -529/129600 binary64) (*.f64 (*.f64 x x) #s(literal -253/2721600 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))))))
Outputs
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x x))
(*.f64 #s(literal 1/36 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
Outputs
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify21.0ms (0.2%)

Algorithm
egg-herbie
Rules
86×*-commutative_binary64
50×+-commutative_binary64
30×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050166
199166
2122166
3142166
4162166
5176166
6186166
7200166
8207166
9211166
10212166
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Outputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 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))

soundness1.2s (9.3%)

Rules
5594×*-lowering-*.f32
5594×*-lowering-*.f64
4046×*-lowering-*.f32
4046×*-lowering-*.f64
3568×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043266
1296229
22752229
08880229
02703087
18632694
228942624
375802624
080632624
0105401
1317344
2977332
33159302
46705296
08243296
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 242 to 101 computations (58.3% saved)

preprocess100.0ms (0.8%)

Remove

(abs x)

Compiler

Compiled 982 to 318 computations (67.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...