ENA, Section 1.4, Exercise 4a

Time bar (total: 13.2s)

analyze3.0ms (0%)

Algorithm
1×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)

sample3.8s (28.8%)

Results
2.8s5425×2valid
579.0ms2736×1valid
8.0ms95×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-sin: 1.9s (67.8% of total)
backward-pass: 325.0ms (11.7% of total)
ival-div: 179.0ms (6.4% of total)
ival-sub: 150.0ms (5.4% of total)
ival-tan: 136.0ms (4.9% of total)
ival-<=: 77.0ms (2.8% of total)
ival-and: 18.0ms (0.6% of total)
const: 13.0ms (0.5% of total)
Bogosity

preprocess131.0ms (1%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain350.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
870-0-(-.f64 x (sin.f64 x))
530-5(1.4467758665042358e-107)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-(tan.f64 x)
Results
256.0ms344×2valid
65.0ms164×1valid
0.0ms4×0valid
Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-sin: 200.0ms (80.4% of total)
backward-pass: 21.0ms (8.4% of total)
ival-div: 10.0ms (4% of total)
ival-sub: 9.0ms (3.6% of total)
ival-tan: 8.0ms (3.2% of total)
const: 1.0ms (0.4% 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
▶51.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify50.0ms (0.4%)

Algorithm
1×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
1×iter limit
1×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)

localize170.0ms (1.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(tan.f64 x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy82.5%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓accuracy69.8%
(-.f64 x (sin.f64 x))
Results
117.0ms172×2valid
42.0ms82×1valid
0.0ms2×0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-sin: 81.0ms (63% of total)
ival-tan: 25.0ms (19.4% of total)
backward-pass: 9.0ms (7% of total)
ival-sub: 9.0ms (7% of total)
ival-div: 5.0ms (3.9% 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))
1.0ms
x
@0
(/ (- x (sin x)) (tan x))
0.0ms
x
@-inf
(tan x)
0.0ms
x
@inf
(tan x)

rewrite360.0ms (2.7%)

Algorithm
1×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
1×iter limit
1×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 (+.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))))

simplify286.0ms (2.2%)

Algorithm
1×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
1×iter limit
1×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))

eval61.0ms (0.5%)

Compiler

Compiled 10821 to 1059 computations (90.2% saved)

prune80.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4478455
Fresh000
Picked011
Done000
Total4479456
Accuracy
99.9%
Counts
456 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.3%
(/.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))
▶82.3%
(/.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))
81.9%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
▶51.7%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) (tan.f64 x))
▶99.4%
(*.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)))))
▶99.5%
(*.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))))))))))
▶99.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 282 to 177 computations (37.2% saved)

simplify227.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))))
✓cost-diff0
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) (tan.f64 x))
✓cost-diff256
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))
✓cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
✓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
2948×*-lowering-*.f32
2948×*-lowering-*.f64
1476×--lowering--.f32
1476×--lowering--.f64
1456×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042333
1133296
2458283
31332283
42913283
54188283
64920283
76178283
08100283
Stop Event
1×iter limit
1×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)
(/ (exp (* (log (/ 1 (- x (sin x)))) -1)) (tan x))
(exp (* (log (/ 1 (- x (sin x)))) -1))
(* (log (/ 1 (- x (sin x)))) -1)
(log (/ 1 (- x (sin x))))
(/ 1 (- x (sin x)))
1
(- x (sin x))
x
(sin x)
-1
(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 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 (+ 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))))))
(+ -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)
(* 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 (*.f64 x 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 x)
(*.f64 x 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 (+ -23/360 (* (* x x) -11/15120))))
(*.f64 (*.f64 x 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))
-11/15120
#s(literal -11/15120 binary64)
(/ (* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))) (tan x))
(/.f64 (*.f64 (*.f64 x x) (*.f64 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))
(* x (* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))))
(*.f64 (*.f64 x x) (*.f64 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))))))))
x
(* x (* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))))
(*.f64 x (*.f64 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))))))))
(* x (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040)))))
(*.f64 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)))))))
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) 1/5040))))
(+.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))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(*.f64 x (*.f64 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)
(/ (exp (* (log (/ 1 (- x (sin x)))) -1)) (tan x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(exp (* (log (/ 1 (- x (sin x)))) -1))
(-.f64 x (sin.f64 x))
(* (log (/ 1 (- x (sin x)))) -1)
(log.f64 (-.f64 x (sin.f64 x)))
(log (/ 1 (- x (sin x))))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 x) x)))
(/ 1 (- x (sin x)))
(/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 x) x))
1
#s(literal 1 binary64)
(- x (sin x))
(-.f64 x (sin.f64 x))
x
(sin x)
(sin.f64 x)
-1
#s(literal -1 binary64)
(tan x)
(tan.f64 x)

localize713.0ms (5.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy96.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
✓accuracy82.5%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) (tan.f64 x))
✓accuracy69.8%
(-.f64 x (sin.f64 x))
✓accuracy34.2%
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))))
✓accuracy99.8%
(*.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) #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))))))
✓accuracy82.5%
(/.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))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
✓accuracy99.7%
(*.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)))))))
✓accuracy99.2%
(*.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 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)))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.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)))))))))
✓accuracy99.2%
(*.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
317.0ms103×2valid
252.0ms150×1valid
2.0ms3×0valid
Compiler

Compiled 394 to 43 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-sin: 73.0ms (22.8% of total)
ival-mult: 67.0ms (20.9% of total)
ival-div: 48.0ms (15% of total)
...c/correct-round.rkt:119:19: 45.0ms (14% of total)
backward-pass: 44.0ms (13.7% of total)
ival-add: 17.0ms (5.3% of total)
ival-log: 11.0ms (3.4% of total)
ival-exp: 6.0ms (1.9% of total)
ival-tan: 6.0ms (1.9% of total)
ival-sub: 4.0ms (1.2% of total)
const: 1.0ms (0.3% of total)

series25.0ms (0.2%)

Counts
24 → 288
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 (exp (* (log (/ 1 (- x (sin x)))) -1))>
#<alt (* (log (/ 1 (- x (sin x)))) -1)>
#<alt (/ (exp (* (log (/ 1 (- x (sin x)))) -1)) (tan x))>
#<alt (log (/ 1 (- x (sin x))))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* 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) 1/5040)>
#<alt (* (* x x) (+ -1/120 (* (* x x) 1/5040)))>
#<alt (- x (sin x))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 (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 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 (* -1 (+ (log 6) (* -3 (log x))))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))>
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))>
#<alt (* -1 (+ (log -1) (log (/ -1 x))))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) 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 (/ (* 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 (+ (log 6) (* -3 (log x)))>
#<alt (+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))>
#<alt (+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))>
#<alt (+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))>
#<alt (log (/ 1 x))>
#<alt (+ (log (/ 1 x)) (/ (sin x) x))>
#<alt (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))>
#<alt (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))>
#<alt (+ (log -1) (log (/ -1 x)))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))>
#<alt (+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))>
#<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 (* -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 (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* -1/120 (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 (* 1/6 (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)))>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
2.0ms
x
@-inf
(* x (+ -23/360 (* (* x x) -11/15120)))
1.0ms
x
@inf
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
1.0ms
x
@0
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
1.0ms
x
@-inf
(* (log (/ 1 (- x (sin x)))) -1)

rewrite595.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
4920×*-lowering-*.f32
4920×*-lowering-*.f64
2764×/-lowering-/.f32
2764×/-lowering-/.f64
2416×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042254
1256213
22178211
08457211
Stop Event
1×iter limit
1×node limit
Counts
24 → 589
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)))))
(exp (* (log (/ 1 (- x (sin x)))) -1))
(* (log (/ 1 (- x (sin x)))) -1)
(/ (exp (* (log (/ 1 (- x (sin x)))) -1)) (tan x))
(log (/ 1 (- x (sin x))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* 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) 1/5040)
(* (* x x) (+ -1/120 (* (* x x) 1/5040)))
(- x (sin x))
Outputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.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 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)))))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.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 #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)))
(+.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 #s(literal 1/6 binary64) (*.f64 x 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 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 (*.f64 x (*.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 #s(literal 1/6 binary64) (*.f64 x x)))
(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 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 (*.f64 x (*.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 (*.f64 x (*.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 x (*.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 (*.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 x (*.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 (*.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 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 (*.f64 x (*.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 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.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 (*.f64 x (*.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)))
(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))))))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.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 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.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 (*.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 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 (*.f64 x (*.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 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 (*.f64 x (*.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)))))))))))
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(-.f64 (/.f64 (*.f64 x (*.f64 x 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 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 x (sin.f64 x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.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 (*.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 x x) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 x))))))
(/.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 x (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 x (sin.f64 x)))
(/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (-.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 x (sin.f64 x))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (exp.f64 (log.f64 (+.f64 x (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 1 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))) #s(literal 1 binary64)) (*.f64 (+.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 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (-.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 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))
(/.f64 (*.f64 (-.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 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 x (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 x (sin.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) #s(literal -1 binary64))
(pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (-.f64 x (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.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 x (sin.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.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 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify319.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4742×*-lowering-*.f32
4742×*-lowering-*.f64
4246×+-lowering-+.f64
4246×+-lowering-+.f32
1202×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03233233
110362780
236562677
082642677
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
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 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)))
(* -1 (+ (log 6) (* -3 (log x))))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* -1/20 (pow x 2)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* -1/16800 (pow x 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log x)))) (* (pow x 2) (- (* (pow x 2) (- (* 1/756000 (pow x 2)) 1/16800)) 1/20)))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (* -1 (/ (sin x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2)))))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))))))
(* -1 (+ (log -1) (log (/ -1 x))))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (sin x) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x)))
(+ (* -1 (+ (log -1) (log (/ -1 x)))) (* -1 (/ (+ (sin x) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x))) x))) 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))))
(/ (* 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))))
(+ (log 6) (* -3 (log x)))
(+ (log 6) (+ (* -3 (log x)) (* 1/20 (pow x 2))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* 1/16800 (pow x 2))))))
(+ (log 6) (+ (* -3 (log x)) (* (pow x 2) (+ 1/20 (* (pow x 2) (+ 1/16800 (* -1/756000 (pow x 2))))))))
(log (/ 1 x))
(+ (log (/ 1 x)) (/ (sin x) x))
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x)))
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* 2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) (pow x 2))) (/ (sin x) x))))
(+ (log -1) (log (/ -1 x)))
(+ (log -1) (+ (log (/ -1 x)) (/ (sin x) x)))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1/2 (/ (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))) x))) x))))
(+ (log -1) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin x) 3)) (+ (* -2 (pow (sin x) 3)) (* 6 (pow (sin x) 3)))) x)) (* 1/2 (+ (* -1 (pow (sin x) 2)) (* 2 (pow (sin x) 2))))) x))) x))))
(* -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)))))))
(* -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))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* -1/120 (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)))))
(* 1/6 (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)))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (+.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 x (*.f64 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.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))))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 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 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x 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 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 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 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -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))
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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))
(* -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))
(* -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))
(* -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))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.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) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.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) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.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) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.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 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/5040 binary64))
(* (pow x 4) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.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) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.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) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))))
(* 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 (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.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) #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 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)))

eval200.0ms (1.5%)

Compiler

Compiled 25471 to 2852 computations (88.8% saved)

prune154.0ms (1.2%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New97411985
Fresh213
Picked145
Done011
Total97717994
Accuracy
100.0%
Counts
994 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
14.9%
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))))
99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.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)))))))
▶99.3%
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
82.3%
(/.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))
✓82.3%
(/.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))
51.7%
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
▶15.2%
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
▶99.5%
(*.f64 (*.f64 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))))))) x)
99.3%
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))))
✓99.4%
(*.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)))))))
▶99.1%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
▶99.6%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.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 (*.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))))))))))
99.5%
(*.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 x (*.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 (*.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))))))
✓99.5%
(*.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))))))))))
99.4%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))))
✓99.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1373 to 437 computations (68.2% saved)

simplify214.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
✓cost-diff0
(pow.f64 x #s(literal 6 binary64))
✓cost-diff0
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
✓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 (+.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 (*.f64 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))))))) x)
✓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 x (*.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 (*.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 x (*.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 (*.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 x (*.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 (*.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 x (*.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 (*.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
3046×+-lowering-+.f64
3046×+-lowering-+.f32
2756×*-lowering-*.f32
2756×*-lowering-*.f64
1398×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048729
1169510
2628493
32778493
45796493
08021493
Stop Event
1×iter limit
1×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 (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))) (* (* 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 (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
(* 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
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) x)
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
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)
(* x x)
-11/15120
(/ (* (+ 1/216 (* (* 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)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(* (+ 1/216 (* (* 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))
(+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (* (* x (+ -23/360 (* (* x x) -11/15120))) (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))
1/216
(* (* 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 (+ -23/360 (* (* x x) -11/15120)))
(+ -23/360 (* (* x x) -11/15120))
-23/360
(* (* x x) -11/15120)
(* 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))) (* 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)))) 1/6)))
1/36
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))
(- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)
1/6
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))
(pow x 6)
x
6
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))
(/ 1/6 (* (* x x) (* x x)))
1/6
(* (* x x) (* x x))
(* x x)
(+ -11/15120 (/ -23/360 (* x x)))
-11/15120
(/ -23/360 (* x x))
-23/360
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 (-.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 -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 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
(/ (* (- 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 (-.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 -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 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)))))))))
(* (- 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 (-.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 -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 x 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)))))))))
(+.f64 #s(literal 1/36 binary64) (*.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 #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 x x))))))
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 (+.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 -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 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)))))))
(*.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 (*.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)))))))))
(* 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 (+ -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))
(* x x)
(*.f64 x x)
-143/604800
#s(literal -143/604800 binary64)
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(*.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))))))))
(- 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 1/6) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))))
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.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 #s(literal -11/15120 binary64) (*.f64 x x))))))
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 #s(literal -11/15120 binary64) (*.f64 x x)))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
-11/15120
#s(literal -11/15120 binary64)
(/ (* (+ 1/216 (* (* 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)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) #s(literal -1/6 binary64)))))
(* (+ 1/216 (* (* 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))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))))))))
(+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (* x (* (* x (+ -23/360 (* (* x x) -11/15120))) (* x (* x (+ -23/360 (* (* x x) -11/15120))))))))
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (* 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 #s(literal -11/15120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))))))
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))
x
(* x (+ -23/360 (* (* x x) -11/15120)))
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(+ -23/360 (* (* x x) -11/15120))
(+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(* (* x x) -11/15120)
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
-11/15120
#s(literal -11/15120 binary64)
(* x (* (* x (+ -23/360 (* (* x x) -11/15120))) (* x (* x (+ -23/360 (* (* x x) -11/15120))))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))))
(* (* x (+ -23/360 (* (* x x) -11/15120))) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))))
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) #s(literal -1/6 binary64))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) #s(literal -1/6 binary64)))
(- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x))))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))
(+.f64 #s(literal -11/15120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(/ 1/6 (* (* x x) (* x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(+ -11/15120 (/ -23/360 (* x x)))
(+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))
-11/15120
#s(literal -11/15120 binary64)
(/ -23/360 (* x x))
(/.f64 #s(literal -23/360 binary64) (*.f64 x x))
-23/360
#s(literal -23/360 binary64)

localize369.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
✓accuracy99.6%
(/.f64 #s(literal -23/360 binary64) (*.f64 x x))
✓accuracy60.8%
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
✓accuracy16.8%
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
✓accuracy99.7%
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x))
✓accuracy99.7%
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
✓accuracy99.2%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -11/15120 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) #s(literal -11/15120 binary64)))))))
✓accuracy99.2%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
✓accuracy99.5%
(*.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 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.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 (*.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)
✓accuracy99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.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 (*.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)))))))))
✓accuracy99.2%
(*.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)))))))
Results
251.0ms256×0valid
Compiler

Compiled 874 to 49 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 50.0ms (51.4% of total)
...c/correct-round.rkt:119:19: 23.0ms (23.6% of total)
ival-add: 10.0ms (10.3% of total)
ival-div: 7.0ms (7.2% of total)
ival-sub: 4.0ms (4.1% of total)
ival-pow: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
25 → 300
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 (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) x)>
#<alt (* 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 (/ (* (+ 1/216 (* (* 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)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))>
#<alt (* (+ 1/216 (* (* 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))>
#<alt (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (* 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))) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))>
#<alt (* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))>
#<alt (pow x 6)>
#<alt (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))>
#<alt (/ 1/6 (* (* x x) (* x x)))>
#<alt (* 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 (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* (* x x) -11/15120)>
#<alt (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))>
#<alt (/ -23/360 (* x x))>
#<alt (* (* x x) (* x x))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/36 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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -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) (- (* -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 (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))>
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))))>
#<alt (* -1331/3456649728000 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* -1331/3456649728000 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<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) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))>
#<alt (* -1331/3456649728000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* -1331/3456649728000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* -12167/46656000 (pow x 6))>
#<alt (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))>
#<alt (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))>
#<alt (* (pow x 6) (- (* (pow x 2) (- (* (pow x 2) (- (* -1331/3456649728000 (pow x 2)) 2783/27433728000)) 5819/653184000)) 12167/46656000))>
#<alt (* -1331/3456649728000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* -1331/3456649728000 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))>
#<alt -11/15120>
#<alt (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt -11/15120>
#<alt (* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<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 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 (* -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 (* 23/2160 (pow x 2))>
#<alt (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))>
#<alt (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (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 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
#<alt (* 121/228614400 (pow x 8))>
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (/ -23/360 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
Calls

75 calls:

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

rewrite365.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3418×*-lowering-*.f32
3418×*-lowering-*.f64
3140×fma-lowering-fma.f32
3140×fma-lowering-fma.f64
1822×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048434
1335255
23185252
08198252
Stop Event
1×iter limit
1×node limit
Counts
25 → 615
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 (+ 1/6 (* x (* x (+ -23/360 (* (* x x) -11/15120)))))) 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))))
(/ (* (+ 1/216 (* (* 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)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(* (+ 1/216 (* (* 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))
(+ 1/216 (* (* 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 (+ -23/360 (* (* x x) -11/15120))) (* x (* x (+ -23/360 (* (* x x) -11/15120)))))))
(* (pow x 6) (+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x)))))
(pow x 6)
(+ (/ 1/6 (* (* x x) (* x x))) (+ -11/15120 (/ -23/360 (* x x))))
(/ 1/6 (* (* x x) (* 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 (+ -23/360 (* (* x x) -11/15120)))
(* (* x x) -11/15120)
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))
(/ -23/360 (* x x))
(* (* x x) (* x x))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #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 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 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 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 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 0 binary64) (-.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)))))))))))
(/.f64 (*.f64 x (*.f64 x (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 0 binary64) (-.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)))))))))))
(/.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 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 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 0 binary64) (-.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)))))))))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.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))))))))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -23/360 binary64) x))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)

simplify312.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
5414×*-lowering-*.f32
5414×*-lowering-*.f64
2944×+-lowering-+.f64
2944×+-lowering-+.f32
1744×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02603022
18202646
227462577
379532577
082892577
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -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) (- (* -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))))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))))
(* -1331/3456649728000 (pow x 14))
(* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* -1331/3456649728000 (pow x 14))
(* -1 (* (pow x 14) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 14) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
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) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000)))
(* -1331/3456649728000 (pow x 12))
(* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* -1331/3456649728000 (pow x 12))
(* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* -12167/46656000 (pow x 6))
(* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))
(* (pow x 6) (- (* (pow x 2) (- (* -2783/27433728000 (pow x 2)) 5819/653184000)) 12167/46656000))
(* (pow x 6) (- (* (pow x 2) (- (* (pow x 2) (- (* -1331/3456649728000 (pow x 2)) 2783/27433728000)) 5819/653184000)) 12167/46656000))
(* -1331/3456649728000 (pow x 12))
(* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* -1331/3456649728000 (pow x 12))
(* -1 (* (pow x 12) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2783/27433728000 (* 5819/653184000 (/ 1 (pow x 2)))) (pow x 2))) 1331/3456649728000))
(* (pow x 12) (- (* -1 (/ (+ 5819/653184000 (* 12167/46656000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1331/3456649728000 (* 2783/27433728000 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -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))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))) (pow x 4))
-11/15120
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
-11/15120
(* -1 (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(* -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)))))))
(* -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))
(* -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))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(/ -23/360 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -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 (*.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))))
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-11/15120
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-11/15120
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(* -11/15120 (pow x 3))
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(* -11/15120 (pow x 2))
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(* -11/15120 (pow x 2))
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(* -11/15120 (pow x 2))
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(* 121/228614400 (pow x 8))
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(/ -23/360 (pow x 2))
(/.f64 #s(literal -23/360 binary64) (*.f64 x x))
(/ -23/360 (pow x 2))
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
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(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
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(pow x 4)
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(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
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eval178.0ms (1.3%)

Compiler

Compiled 78266 to 3812 computations (95.1% saved)

prune127.0ms (1%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New1338101348
Fresh527
Picked325
Done055
Total1346191365
Accuracy
100.0%
Counts
1365 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.3%
(/.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))
14.9%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
✓82.3%
(/.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))
99.3%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
▶99.3%
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
51.7%
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (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 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) #s(literal 1/6 binary64)))))
▶97.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
21.4%
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
15.2%
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
▶99.4%
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
✓99.5%
(*.f64 (*.f64 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))))))) x)
✓99.4%
(*.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)))))))
✓99.1%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.5%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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 (+.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 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 -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 1/6 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))))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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))))))))))))
▶99.4%
(*.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 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))))))))))
✓99.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 909 to 403 computations (55.7% saved)

simplify208.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/216 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 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 x #s(literal 1/36 binary64))
✓cost-diff0
(/.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)))))))))
✓cost-diff0
(*.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))))))))))
✓cost-diff0
(*.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)))))))
✓cost-diff0
(*.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))))))))
✓cost-diff0
(/.f64 #s(literal 1 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 #s(literal -11/15120 binary64)))))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
✓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 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
✓cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
✓cost-diff0
(+.f64 (*.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)))))))) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64))))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64)))))
Rules
2498×*-lowering-*.f32
2498×*-lowering-*.f64
1844×+-lowering-+.f64
1844×+-lowering-+.f32
1776×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047519
1167450
2541447
31647447
45896447
08051447
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))))
x
(/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)))
1
(* x (+ (* 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 (+ -11/15120 (* (* x x) -143/604800)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
(* x x)
-143/604800
1/6
(* (* x (+ 1/6 (* (* x x) -23/360))) x)
(* x (+ 1/6 (* (* x x) -23/360)))
x
(+ 1/6 (* (* x x) -23/360))
1/6
(* (* x x) -23/360)
(* x x)
-23/360
(/ 1 (/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))))
1
(/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))))
(* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
x
(* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(+ 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)))
-23/360
(* x (* x -11/15120))
(* x -11/15120)
-11/15120
(* x (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
x
(/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* x 1/36)
1/36
(- 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)))))
-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
(/ (* 1/216 (* x x)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(* 1/216 (* x x))
1/216
(* x x)
x
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)))
1/36
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* 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 (+ -23/360 (* (* x x) -11/15120)))) 1/6)
1/6
Outputs
(/ x (/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))))
(*.f64 (*.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))))))) #s(literal 1/6 binary64)))
x
(/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)))
(/.f64 (/.f64 #s(literal 1 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))))))) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))
(*.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 (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)
(+.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 (* 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 (+ -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))
(* x x)
(*.f64 x x)
-143/604800
#s(literal -143/604800 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x (+ 1/6 (* (* x x) -23/360))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* x (+ 1/6 (* (* x x) -23/360)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
x
(+ 1/6 (* (* x x) -23/360))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) -23/360)
(*.f64 x (*.f64 x #s(literal -23/360 binary64)))
(* x x)
(*.f64 x x)
-23/360
#s(literal -23/360 binary64)
(/ 1 (/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))))
(*.f64 (*.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)))))))
1
#s(literal 1 binary64)
(/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))))
(/.f64 (/.f64 #s(literal 1 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)))))))
(* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
(*.f64 (*.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)))))))
x
(* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(*.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)))))))
(+ 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 x (*.f64 x #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
(* x x)
(*.f64 x x)
(+ -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)))
(* x -11/15120)
(*.f64 x #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(* x (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(/.f64 (*.f64 x (*.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)))))))))
x
(/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(/.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)))))))))
(* x 1/36)
(*.f64 x #s(literal 1/36 binary64))
1/36
#s(literal 1/36 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 x)
(*.f64 x x)
(+ -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)
(/ (* 1/216 (* x x)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(/.f64 (*.f64 (*.f64 x 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 #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)))))
(* 1/216 (* x x))
(*.f64 (*.f64 x x) #s(literal 1/216 binary64))
1/216
#s(literal 1/216 binary64)
(* x x)
(*.f64 x x)
x
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)))
(+.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))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))
(*.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)))
(* x (* x (+ -23/360 (* (* x x) -11/15120))))
(*.f64 (*.f64 x 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 (+ -23/360 (* (* x x) -11/15120)))) 1/6)
(+.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))
1/6
#s(literal 1/6 binary64)

localize331.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 #s(literal 1/216 binary64) (*.f64 x x))
✓accuracy99.7%
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
✓accuracy99.2%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
✓accuracy99.8%
(*.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)))))))
✓accuracy99.5%
(*.f64 x #s(literal 1/36 binary64))
✓accuracy99.4%
(/.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)))))))))
✓accuracy99.7%
(/.f64 #s(literal 1 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 #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)))))
✓accuracy99.5%
(*.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)))))))
✓accuracy97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
✓accuracy99.6%
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64))))
✓accuracy99.5%
(*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64)))
✓accuracy99.2%
(*.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)))))))
Results
237.0ms256×0valid
Compiler

Compiled 618 to 48 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 39.0ms (45.1% of total)
...c/correct-round.rkt:119:19: 24.0ms (27.8% of total)
ival-add: 11.0ms (12.7% of total)
ival-div: 10.0ms (11.6% of total)
ival-sub: 2.0ms (2.3% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.1%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))))>
#<alt (/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)))>
#<alt (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))>
#<alt (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)>
#<alt (* (* x (+ 1/6 (* (* x x) -23/360))) x)>
#<alt (* x (+ 1/6 (* (* x x) -23/360)))>
#<alt (+ 1/6 (* (* x x) -23/360))>
#<alt (* (* x x) -23/360)>
#<alt (/ 1 (/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))))>
#<alt (/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))))>
#<alt (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))>
#<alt (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))>
#<alt (* x (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (* x 1/36)>
#<alt (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))>
#<alt (/ (* 1/216 (* x x)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))>
#<alt (* 1/216 (* x x))>
#<alt (* x x)>
#<alt (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)))>
#<alt (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* x (* x (+ -11/15120 (* (* x x) -143/604800))))>
#<alt (* (* x x) (+ -23/360 (* x (* x -11/15120))))>
#<alt (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* x (+ -23/360 (* (* x x) -11/15120)))>
#<alt (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 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 (/ 6 x)>
#<alt (/ (+ 6 (* 23/10 (pow x 2))) x)>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) x)>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) x)>
#<alt (/ -604800/143 (pow x 7))>
#<alt (/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 7))>
#<alt (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 7))>
#<alt (/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6))))) (pow x 7))>
#<alt (/ -604800/143 (pow x 7))>
#<alt (* -1 (/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 7)))>
#<alt (* -1 (/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)))>
#<alt (* -1 (/ (- (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 7)))>
#<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 (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -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) (- (* -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 (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) (pow x 2))>
#<alt (/ -15120/11 (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ -15120/11 (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))>
#<alt (/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 3593/151200 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 3593/151200 (* -13709/1512000 (pow x 2)))) 23/360))))>
#<alt (/ 16800/143 (pow x 4))>
#<alt (/ (- 16800/143 (* 672000/1859 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6)))) (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4)))) (pow x 4))>
#<alt (/ 16800/143 (pow x 4))>
#<alt (/ (- 16800/143 (* 672000/1859 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6)))) (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4)))) (pow x 4))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 3593/151200 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 3593/151200 (* -13709/1512000 (pow x 2)))) 23/360))))>
#<alt (/ 16800/143 (pow x 5))>
#<alt (/ (- 16800/143 (* 672000/1859 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6)))) (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4)))) (pow x 5))>
#<alt (/ 16800/143 (pow x 5))>
#<alt (* -1 (/ (- (* 672000/1859 (/ 1 (pow x 2))) 16800/143) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4))) 16800/143) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4))) (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6))))) (pow x 5)))>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt (* 1/36 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2)))))))>
#<alt (* 143/604800 (pow x 6))>
#<alt (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 143/604800 (pow x 6))>
#<alt (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (+ (* 11/15120 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<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) (- (* 12167/1296000 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ 1058400/121 (pow x 6))>
#<alt (/ (- 1058400/121 (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (+ (* 2044828800/1331 (/ 1 (pow x 2))) (* 3731264545881600/161051 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (/ 1058400/121 (pow x 6))>
#<alt (/ (- 1058400/121 (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (+ (* 2044828800/1331 (/ 1 (pow x 2))) (* 3731264545881600/161051 (/ 1 (pow x 6))))) (pow x 6))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (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 1/36>
#<alt (+ 1/36 (* 23/2160 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (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 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
#<alt (* 121/228614400 (pow x 8))>
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
#<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 (* -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 (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 (* -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 (* -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 (* 23/2160 (pow x 2))>
#<alt (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))>
#<alt (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))>
#<alt (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (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 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
#<alt (* 121/228614400 (pow x 8))>
#<alt (* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))>
Calls

78 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/ (* 1/216 (* x x)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
3.0ms
x
@-inf
(* x (+ 1/6 (* (* x x) -23/360)))
1.0ms
x
@inf
(* x (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
0.0ms
x
@inf
(* (* x (+ 1/6 (* (* x x) -23/360))) x)
0.0ms
x
@inf
(* 1/216 (* x x))

rewrite431.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3016×fma-lowering-fma.f32
3016×fma-lowering-fma.f64
2824×*-lowering-*.f32
2824×*-lowering-*.f64
1862×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047350
1338299
22568296
08322296
Stop Event
1×iter limit
1×node limit
Counts
26 → 842
Calls
Call 1
Inputs
(/ x (/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6))))
(/ 1 (* x (+ (* x (* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))) 1/6)))
(* x (+ (* 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) -23/360))) x)
(* x (+ 1/6 (* (* x x) -23/360)))
(+ 1/6 (* (* x x) -23/360))
(* (* x x) -23/360)
(/ 1 (/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))))
(/ 1 (* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))))
(* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120)))))))
(* x (+ 1/6 (* (* x x) (+ -23/360 (* x (* x -11/15120))))))
(* x (/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))))
(/ (* x 1/36) (- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))))
(* x 1/36)
(- 1/6 (* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800)))))))
(/ (* 1/216 (* x x)) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))))
(* 1/216 (* x x))
(* x x)
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6)))
(* x (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x (* x (+ -11/15120 (* (* x x) -143/604800))))
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(* (* x x) (+ -23/360 (* x (* x (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) -11/15120)))
(* (* x (* x (+ -23/360 (* (* x x) -11/15120)))) (- (* x (* x (+ -23/360 (* (* x x) -11/15120)))) 1/6))
Outputs
(+.f64 (*.f64 x (*.f64 (*.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)))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.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) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))) x)) #s(literal -1 binary64)))
(fma.f64 x (*.f64 (*.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))))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.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 (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(neg.f64 (/.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 x (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) 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))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))) x))))
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simplify370.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
5424×*-lowering-*.f32
5424×*-lowering-*.f64
3574×+-lowering-+.f64
3574×+-lowering-+.f32
1198×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03273370
110212919
233102843
081602843
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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)))))))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) x)
(/ -604800/143 (pow x 7))
(/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 7))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 7))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6))))) (pow x 7))
(/ -604800/143 (pow x 7))
(* -1 (/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 7)))
(* -1 (/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)))
(* -1 (/ (- (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 7)))
(* 1/6 x)
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(* 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)))))))
(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
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(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
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(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
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(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
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(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (pow x 2))
(* -23/360 (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))))))
(/ 6 (pow x 2))
(/ (+ 6 (* 23/10 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 90229/252000 (pow x 2))))))) (pow x 2))
(/ -15120/11 (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ -15120/11 (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) 15120/11) (pow x 6))
(/ (- (* 14605920/121 (/ 1 (pow x 2))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(/ (- (+ (* 14605920/121 (/ 1 (pow x 2))) (* 14439354088320/14641 (/ 1 (pow x 6)))) (+ 15120/11 (/ 14528445120/1331 (pow x 4)))) (pow x 6))
(* 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))))))
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(* -11/15120 (pow x 6))
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(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
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(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
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(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
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(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 3593/151200 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 3593/151200 (* -13709/1512000 (pow x 2)))) 23/360))))
(/ 16800/143 (pow x 4))
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(/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
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(/ 16800/143 (pow x 4))
(/ (- 16800/143 (* 672000/1859 (/ 1 (pow x 2)))) (pow x 4))
(/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 4))
(/ (- (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6)))) (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4)))) (pow x 4))
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(* x (+ 1/6 (* (pow x 2) (- (* 3593/151200 (pow x 2)) 23/360))))
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(/ 16800/143 (pow x 5))
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(/ (+ 16800/143 (* -1 (/ (+ 672000/1859 (* 8143296000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 5))
(/ (- (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6)))) (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4)))) (pow x 5))
(/ 16800/143 (pow x 5))
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(* -1 (/ (- (+ (* 672000/1859 (/ 1 (pow x 2))) (/ 8143296000/265837 (pow x 4))) (+ 16800/143 (* 377099520000/3455881 (/ 1 (pow x 6))))) (pow x 5)))
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
(* 1/36 x)
1/6
(+ 1/6 (* 23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 23/360 (* 11/15120 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 23/360 (* (pow x 2) (+ 11/15120 (* 143/604800 (pow x 2)))))))
(* 143/604800 (pow x 6))
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(* (pow x 6) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))))
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(/ 1058400/121 (pow x 6))
(/ (- 1058400/121 (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (* 2044828800/1331 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 1058400/121 (/ 2933618083200/14641 (pow x 4))) (+ (* 2044828800/1331 (/ 1 (pow x 2))) (* 3731264545881600/161051 (/ 1 (pow x 6))))) (pow x 6))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (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)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2)))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(* -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)))))))
(* -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 (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))))))
(* -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))
(* -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))))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(* 121/228614400 (pow x 8))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
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 (*.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 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 x (*.f64 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 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 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)))))))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 23/10 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 23/10 binary64))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* 1271/1400 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 23/10 binary64) (*.f64 x (*.f64 x #s(literal 1271/1400 binary64))))))) x)
(/ (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 1271/1400 (* 46187/126000 (pow x 2))))))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 23/10 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1271/1400 binary64) (*.f64 (*.f64 x x) #s(literal 46187/126000 binary64)))))))) x)
(/ -604800/143 (pow x 7))
(/.f64 #s(literal -604800/143 binary64) (pow.f64 x #s(literal 7 binary64)))
(/ (- (* 24192000/1859 (/ 1 (pow x 2))) 604800/143) (pow x 7))
(/.f64 (+.f64 #s(literal -604800/143 binary64) (/.f64 #s(literal 24192000/1859 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) 604800/143) (pow x 7))
(/.f64 (+.f64 (/.f64 #s(literal 24192000/1859 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 293158656000/265837 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -604800/143 binary64))) (pow.f64 x #s(literal 7 binary64)))
(/ (- (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4))) (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6))))) (pow x 7))
(/.f64 (-.f64 (/.f64 #s(literal 293158656000/265837 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 34181360640000/3455881 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 604800/143 binary64) (/.f64 #s(literal -24192000/1859 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(/ -604800/143 (pow x 7))
(/.f64 #s(literal -604800/143 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (- 604800/143 (* 24192000/1859 (/ 1 (pow x 2)))) (pow x 7)))
(/.f64 (+.f64 #s(literal -604800/143 binary64) (/.f64 #s(literal 24192000/1859 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (/ (+ 604800/143 (* -1 (/ (+ 24192000/1859 (* 293158656000/265837 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 7)))
(/.f64 (+.f64 #s(literal 604800/143 binary64) (/.f64 (+.f64 #s(literal -24192000/1859 binary64) (/.f64 #s(literal -293158656000/265837 binary64) (*.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -1 (/ (- (+ 604800/143 (* 34181360640000/3455881 (/ 1 (pow x 6)))) (+ (* 24192000/1859 (/ 1 (pow x 2))) (/ 293158656000/265837 (pow x 4)))) (pow x 7)))
(/.f64 (-.f64 (/.f64 #s(literal 293158656000/265837 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 34181360640000/3455881 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 604800/143 binary64) (/.f64 #s(literal -24192000/1859 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 7 binary64)))
(* 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 (*.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))))))))))
(* -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 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 (*.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)))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.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 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.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)))))))
(* 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 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/6 x)
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(* -11/15120 (pow x 4))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(* -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 (*.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))))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.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))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -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 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 x) (*.f64 x (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* -11/15120 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 x) (*.f64 x (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(* 23/2160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 23/2160 binary64))
(* (pow x 2) (+ 23/2160 (* 1271/302400 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) #s(literal 1271/302400 binary64)))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* 253/2721600 (pow x 2))))))
(*.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 253/2721600 binary64))))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 253/2721600 (* 121/228614400 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 23/2160 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) #s(literal 121/228614400 binary64)))))))))
(* 121/228614400 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 23/2160 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 121/228614400 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 121/228614400 binary64))
(* (pow x 8) (+ 121/228614400 (* 253/2721600 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (* 253/2721600 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 121/228614400 binary64) (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x))) (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 121/228614400 (+ (/ 1271/302400 (pow x 4)) (+ (* 253/2721600 (/ 1 (pow x 2))) (* 23/2160 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 121/228614400 binary64) (+.f64 (/.f64 #s(literal 253/2721600 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1271/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 23/2160 binary64) (pow.f64 x #s(literal 6 binary64)))))))

eval204.0ms (1.5%)

Compiler

Compiled 50078 to 4150 computations (91.7% saved)

prune163.0ms (1.2%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New136161367
Fresh527
Picked325
Done077
Total1369171386
Accuracy
100.0%
Counts
1386 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.6%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
82.3%
(/.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))
99.3%
(/.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
✓82.3%
(/.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))
99.0%
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
51.7%
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
99.2%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓99.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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)))))))) #s(literal 1/6 binary64)))))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
97.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.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)))))))) (/.f64 #s(literal 1 binary64) x))))
✓99.4%
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
✓99.5%
(*.f64 (*.f64 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))))))) x)
50.8%
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) x)
✓99.4%
(*.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)))))))
✓99.1%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
✓99.5%
(*.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))))))))))
✓99.1%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1464 to 369 computations (74.8% saved)

regimes35.0ms (0.3%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 x (*.f64 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 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (+.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))))))) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.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)))))))) (/.f64 #s(literal 1 binary64) x))))
(*.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 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 (*.f64 x (*.f64 x x))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.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 1/36 binary64) (*.f64 x (*.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 (*.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 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x 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 x (*.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 (*.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 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 (*.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 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.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 1/1296 binary64) (*.f64 (*.f64 (*.f64 x x) (*.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 (+.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 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 -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 1/6 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))))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.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 (+.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 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64))) (tan.f64 x))
Outputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.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 (*.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:

10.0ms
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)

regimes8.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 x (*.f64 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 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (+.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))))))) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.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)))))))) (/.f64 #s(literal 1 binary64) x))))
(*.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 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 (*.f64 x (*.f64 x x))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))) (*.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 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:

7.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 x (*.f64 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 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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 (+.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))))))) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal -11/15120 binary64))))))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
Outputs
(*.f64 (*.f64 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))))))) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.5%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 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 x (*.f64 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 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x 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:

4.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
(*.f64 x (*.f64 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 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) x)
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x x)) #s(literal 1/36 binary64))
Outputs
(/.f64 x (/.f64 #s(literal 6 binary64) x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

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:

9.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
82×*-commutative_binary64
46×+-commutative_binary64
32×sub-neg_binary64
30×distribute-lft-neg-in_binary64
30×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047144
191144
2115144
3136144
4161144
5176144
6187144
7201144
8208144
9212144
10213144
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.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 (*.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 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 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))))))) 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 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(*.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 x (*.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 (*.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 x (*.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 (*.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 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 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))))))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 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 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 #s(literal -11/15120 binary64) (*.f64 x x)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(*.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))

soundness2.2s (16.6%)

Rules
5424×*-lowering-*.f32
5424×*-lowering-*.f64
4920×*-lowering-*.f32
4920×*-lowering-*.f64
4742×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042254
1256213
22178211
08457211
03273370
110212919
233102843
081602843
048434
1335255
23185252
08198252
03233233
110362780
236562677
082642677
0105401
1317344
2977332
33159302
46705296
08243296
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 242 to 112 computations (53.7% saved)

preprocess79.0ms (0.6%)

Remove

(abs x)

Compiler

Compiled 1062 to 364 computations (65.7% saved)

end0.0ms (0%)

Profiling

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