ENA, Section 1.4, Exercise 4a

Time bar (total: 13.8s)

analyze3.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

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

sample4.1s (29.4%)

Results
3.0s5447×2valid
710.0ms2699×1valid
9.0ms110×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-sin: 1.8s (58.7% of total)
ival-sub: 516.0ms (16.5% of total)
backward-pass: 296.0ms (9.5% of total)
ival-tan: 185.0ms (5.9% of total)
ival-div: 183.0ms (5.9% of total)
ival-<=: 91.0ms (2.9% of total)
const: 12.0ms (0.4% of total)
ival-and: 10.0ms (0.3% of total)
Bogosity

preprocess85.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

(abs x)

explain270.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
940-1(0.3248860953081491)(-.f64 x (sin.f64 x))
521(6.595306743987449e-162)8(2.6924222899033506e-107)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-(tan.f64 x)
Results
175.0ms326×2valid
40.0ms174×1valid
1.0ms12×0valid
Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-sin: 106.0ms (70% of total)
backward-pass: 18.0ms (11.9% of total)
ival-sub: 11.0ms (7.3% of total)
ival-div: 9.0ms (5.9% of total)
ival-tan: 7.0ms (4.6% of total)
const: 1.0ms (0.7% 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
51.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify71.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(sin.f64 x)
cost-diff0
(-.f64 x (sin.f64 x))
cost-diff0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Rules
438×fnmadd-define
416×sum4-define
416×sum5-define
392×fmsub-define
388×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

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

localize125.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(tan.f64 x)
accuracy100.0%
(sin.f64 x)
accuracy83.7%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy68.9%
(-.f64 x (sin.f64 x))
Results
97.0ms163×2valid
18.0ms87×1valid
1.0ms0valid
Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-sin: 61.0ms (73.2% of total)
backward-pass: 8.0ms (9.6% of total)
ival-div: 6.0ms (7.2% of total)
ival-sub: 4.0ms (4.8% of total)
ival-tan: 4.0ms (4.8% of total)
const: 0.0ms (0% of total)

series4.0ms (0%)

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

12 calls:

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

rewrite379.0ms (2.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify378.0ms (2.7%)

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

Useful iterations: 4 (0.0ms)

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

eval48.0ms (0.4%)

Compiler

Compiled 10821 to 1059 computations (90.2% saved)

prune276.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New44213455
Fresh000
Picked011
Done000
Total44214456
Accuracy
99.9%
Counts
456 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.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 x (sin.f64 x)))
2.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (tan.f64 x) (+.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)))))))
51.8%
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
51.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
83.3%
(/.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))
82.8%
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) (tan.f64 x))
83.2%
(/.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))
82.0%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
51.7%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
51.8%
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
99.1%
(*.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)))))))
98.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
99.3%
(*.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))))))))))
98.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 482 to 291 computations (39.6% saved)

simplify188.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 (tan.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))))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (tan.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)))))))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.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 x (sin.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
cost-diff0
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (tan.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.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
2518×*-lowering-*.f32
2518×*-lowering-*.f64
1916×+-lowering-+.f64
1916×+-lowering-+.f32
1880×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044353
1139317
2491315
31475315
44039315
56695315
08020315
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
1/6
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))
-23/360
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* 1/6 (* x x))
1/6
(* x x)
x
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(tan x)
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* x (* x x))
x
(* x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
1/6
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
-1/120
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(+ 1/5040 (* (* x x) -1/362880))
1/5040
(* (* x x) -1/362880)
-1/362880
(tan x)
(/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))
(/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))))
1
(/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))
(tan x)
x
(+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))
(- (* x x) 1/2)
(* x x)
1/2
(* 1/2 (cos (* x 2)))
(cos (* x 2))
(* x 2)
2
(+ x (sin x))
(sin x)
Outputs
(* x (* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
x
(* x (+ 1/6 (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.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 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
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 (*.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 x (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(/ (* 1/6 (* x (* x x))) (tan x))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(* 1/6 (* x (* x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(tan x)
(tan.f64 x)
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.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)))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(*.f64 x (*.f64 (*.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 x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.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)))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(*.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))))))
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* (* x x) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* x x) -1/362880)
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(tan x)
(tan.f64 x)
(/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))
(/.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x))))
(/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))))
(/.f64 (+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (tan.f64 x))
1
#s(literal 1 binary64)
(/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))
(/.f64 (tan.f64 x) (+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(tan x)
(tan.f64 x)
x
(+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))
(+.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(- (* x x) 1/2)
(+.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* x x)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* x 2)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))
(cos (* x 2))
(cos.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ x (sin x))
(+.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)

localize935.0ms (6.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (tan.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)))))))
accuracy93.0%
(/.f64 (tan.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))))))
accuracy83.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.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 x (sin.f64 x)))
accuracy76.5%
(+.f64 (-.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))))
accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
accuracy99.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
accuracy83.7%
(/.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))
accuracy100.0%
(tan.f64 x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy83.7%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
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))))
accuracy99.4%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
Results
501.0ms121×3valid
235.0ms81×2valid
54.0ms40×1valid
38.0ms4valid
3.0ms0valid
Compiler

Compiled 419 to 45 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 402.0ms
ival-mult: 112.0ms (27.8% of total)
backward-pass: 89.0ms (22.1% of total)
ival-cos: 63.0ms (15.7% of total)
...c/correct-round.rkt:119:19: 53.0ms (13.2% of total)
ival-div: 36.0ms (8.9% of total)
ival-add: 35.0ms (8.7% of total)
ival-sub: 5.0ms (1.2% of total)
ival-tan: 5.0ms (1.2% of total)
ival-sin: 4.0ms (1% of total)
const: 1.0ms (0.2% of total)

series27.0ms (0.2%)

Counts
20 → 240
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 (/ (* 1/6 (* x (* x x))) (tan x))>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))>
#<alt (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))>
#<alt (/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))>
#<alt (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))))>
#<alt (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))>
#<alt (tan x)>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* (* x x) -1/362880)>
#<alt (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))>
#<alt (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))>
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 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 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 (- (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))) (+ (* -1 (/ (* (cos x) (sin x)) (pow x 2))) (/ (cos x) x))))>
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x)) (* -1 (* (cos x) (sin x))))) (pow x 3))) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x))))) (+ (* -1 (/ (* (cos x) (sin x)) (pow x 2))) (/ (cos x) 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))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* (cos x) (sin x))) x)) (cos x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* -1 (/ (* (sin x) (- (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* (cos x) (sin x)))) x))) (* (cos x) (sin x))) x)) (cos x)) x)))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* -7/45 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (- (* 2/189 (pow x 2)) 7/45))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 2/189 (* -13/14175 (pow x 2)))) 7/45))))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))>
#<alt (/ 3 (pow x 3))>
#<alt (/ (+ 3 (* 7/5 (pow x 2))) (pow x 3))>
#<alt (/ (+ 3 (* (pow x 2) (+ 7/5 (* 293/525 (pow x 2))))) (pow x 3))>
#<alt (/ (+ 3 (* (pow x 2) (+ 7/5 (* (pow x 2) (+ 293/525 (* 1766/7875 (pow x 2))))))) (pow x 3))>
#<alt (/ (sin x) (* (pow x 2) (cos x)))>
#<alt (/ (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (/ (sin x) (cos x))) (pow x 2))>
#<alt (/ (- (+ (/ (sin x) (cos x)) (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 3)) (* (pow x 6) (cos x)))) (/ (sin x) (cos x))) (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x))))) (pow x 2))>
#<alt (/ (sin x) (* (pow x 2) (cos x)))>
#<alt (/ (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (/ (sin x) (cos x))) (pow x 2))>
#<alt (/ (- (+ (/ (sin x) (cos x)) (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (pow x 2))>
#<alt (/ (- (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 3)) (* (pow x 6) (cos x)))) (/ (sin x) (cos x))) (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x))))) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<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 (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/120 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))>
#<alt (* -1/362880 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* 1/3 (pow x 4))>
#<alt (* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))>
#<alt (* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))
3.0ms
x
@inf
(/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))
2.0ms
x
@-inf
(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms
x
@-inf
(/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))
1.0ms
x
@inf
(/ (* 1/6 (* x (* x x))) (tan x))

rewrite516.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
3090×*-lowering-*.f32
3090×*-lowering-*.f64
2618×fma-lowering-fma.f32
2618×fma-lowering-fma.f64
2068×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044234
1290184
22620184
08270184
Stop Event
iter limit
node limit
Counts
20 → 488
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)
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
(* x (* x x))
(/ (* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) (tan x))
(* (* x (* x x)) (+ 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(/ (/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))) (+ x (sin x)))
(/ 1 (/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))))
(/ (tan x) (+ (- (* x x) 1/2) (* 1/2 (cos (* x 2)))))
(tan x)
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* (* x x) -1/362880)
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(+ (- (* x x) 1/2) (* 1/2 (cos (* x 2))))
Outputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.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 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.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))))))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.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)))))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.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))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.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))))))))))
(fma.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 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))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.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))))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.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)))))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.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))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.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 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 x (*.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))))))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.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)))))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.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))
(fma.f64 (*.f64 x #s(literal 1/6 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))))))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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)))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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))))))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 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 x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) x)
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 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 #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.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)))))))))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.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)))))))))
(fma.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 #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.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))))))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
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(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #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 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (neg.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (*.f64 x (*.f64 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 x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 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 x x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) (*.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 (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))))))) (neg.f64 (neg.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 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.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 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 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 x #s(literal 2 binary64))))))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.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 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))))))) #s(literal -1 binary64))
(*.f64 (+.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)))
(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 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)))))))

simplify288.0ms (2.1%)

Algorithm
egg-herbie
Rules
5690×*-lowering-*.f32
5690×*-lowering-*.f64
2764×+-lowering-+.f64
2764×+-lowering-+.f32
1612×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03653064
112062686
243252617
086802617
Stop Event
iter limit
node limit
Counts
240 → 240
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 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 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 (- (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))) (+ (* -1 (/ (* (cos x) (sin x)) (pow x 2))) (/ (cos x) x))))
(* x (- (+ (* -1 (/ (* (sin x) (- (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x)) (* -1 (* (cos x) (sin x))))) (pow x 3))) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x))))) (+ (* -1 (/ (* (cos x) (sin x)) (pow x 2))) (/ (cos x) x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* (cos x) (sin x))) x)) (cos x)) x)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* -1 (/ (* (sin x) (- (* -1 (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (sin x))) (* (cos x) (sin x)))) x))) (* (cos x) (sin x))) x)) (cos x)) x)))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* -7/45 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* 2/189 (pow x 2)) 7/45))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 2/189 (* -13/14175 (pow x 2)))) 7/45))))
(/ (* (pow x 2) (cos x)) (sin x))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(/ (* (pow x 2) (cos x)) (sin x))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(* (pow x 2) (+ (/ (cos x) (sin x)) (/ (* (cos x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (sin x)))))
(/ 3 (pow x 3))
(/ (+ 3 (* 7/5 (pow x 2))) (pow x 3))
(/ (+ 3 (* (pow x 2) (+ 7/5 (* 293/525 (pow x 2))))) (pow x 3))
(/ (+ 3 (* (pow x 2) (+ 7/5 (* (pow x 2) (+ 293/525 (* 1766/7875 (pow x 2))))))) (pow x 3))
(/ (sin x) (* (pow x 2) (cos x)))
(/ (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (/ (sin x) (cos x))) (pow x 2))
(/ (- (+ (/ (sin x) (cos x)) (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (pow x 2))
(/ (- (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 3)) (* (pow x 6) (cos x)))) (/ (sin x) (cos x))) (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x))))) (pow x 2))
(/ (sin x) (* (pow x 2) (cos x)))
(/ (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (/ (sin x) (cos x))) (pow x 2))
(/ (- (+ (/ (sin x) (cos x)) (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x)))) (pow x 2))
(/ (- (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 3)) (* (pow x 6) (cos x)))) (/ (sin x) (cos x))) (+ (* -1 (/ (* (sin x) (pow (- (* 1/2 (cos (* 2 x))) 1/2) 2)) (* (pow x 4) (cos x)))) (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) 1/2)) (* (pow x 2) (cos x))))) (pow x 2))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -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))))))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/120 (pow x 2))
(* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 6))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 1/3 (pow x 4))
(* (pow x 4) (+ 1/3 (* -2/45 (pow x 2))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45))))
(* (pow x 4) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/315 (* -2/14175 (pow x 2)))) 2/45))))
(pow x 2)
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.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))))))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.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 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (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 #s(literal -143/604800 binary64) (+.f64 (/.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 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #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 (*.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 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal 143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -23/360 (pow x 2))
(*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #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)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
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eval112.0ms (0.8%)

Compiler

Compiled 28029 to 2580 computations (90.8% saved)

prune95.0ms (0.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New91815933
Fresh358
Picked235
Done011
Total92324947
Accuracy
100.0%
Counts
947 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 x (sin.f64 x)))
2.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (tan.f64 x) (+.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)))))))
51.8%
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
51.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
83.3%
(/.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))
83.1%
(/.f64 (*.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))))))) (tan.f64 x))
99.3%
(/.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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #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)))))))))
81.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
81.9%
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
51.7%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.3%
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
51.8%
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
98.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
99.1%
(*.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)))))))
97.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.3%
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #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 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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))))))
99.3%
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 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)))))))
98.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
99.3%
(*.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))))))))))
98.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1461 to 594 computations (59.3% saved)

simplify210.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))))))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x)
cost-diff0
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
cost-diff0
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
cost-diff0
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
cost-diff0
(*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -11/15120 binary64)))))))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
cost-diff0
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
cost-diff0
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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)
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) (+.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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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)))))
cost-diff0
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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))))))
Rules
3624×+-lowering-+.f64
3624×+-lowering-+.f32
3172×*-lowering-*.f32
3172×*-lowering-*.f64
1886×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053859
1186665
2784661
34060661
08112661
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
x
(/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
1/216
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* 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 x)
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-143/604800
(* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))
1/36
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))
(- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* 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)
-11/15120
(/ (* (* x x) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(* x x)
x
(- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
1/36
(* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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)))
(+ -11/15120 (* (* x x) -143/604800))
-11/15120
(* (* x x) -143/604800)
-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 (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x) (tan x))
(* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x)
(* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))))
x
(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))
1/6
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
-1/120
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(+ 1/5040 (* x (* x -1/362880)))
1/5040
(* x (* x -1/362880))
(* x -1/362880)
-1/362880
(tan x)
Outputs
(* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (*.f64 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 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.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
(/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (*.f64 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 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.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))))))
(* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (*.f64 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)))))))))))))
(+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (*.f64 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))))))))))))
1/216
#s(literal 1/216 binary64)
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x (*.f64 x (*.f64 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 (+ -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)
(* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(+ 1/36 (* (* x (* 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)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.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)))))
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)))))) 1/6))
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.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 (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)
(+.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))
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 (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))
(*.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)))))))
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 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(+ 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 (*.f64 x x) #s(literal -11/15120 binary64))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -23/360 (* (* x x) -11/15120)))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(* x x)
(*.f64 x x)
(+ -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) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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))))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))) (+.f64 #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) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
(* x x)
(*.f64 x x)
x
(- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))) (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
1/36
#s(literal 1/36 binary64)
(* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 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))))
(+ -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 (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (-.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(/ (* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x) (tan x))
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (*.f64 x (/.f64 (*.f64 x x) (tan.f64 x))))
(* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x)
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))) (*.f64 x (*.f64 x x)))
(* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
x
(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
(+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))
(* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))
(*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))
(+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))
(+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))
-1/120
#s(literal -1/120 binary64)
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
(* x (+ 1/5040 (* x (* x -1/362880))))
(*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* x (* x -1/362880)))
(+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* x (* x -1/362880))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* x -1/362880)
(*.f64 x #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(tan x)
(tan.f64 x)

localize398.0ms (2.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))
accuracy99.4%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))
accuracy99.3%
(*.f64 x #s(literal -1/362880 binary64))
accuracy83.7%
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
accuracy99.7%
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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))))))))))
accuracy99.6%
(/.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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #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)))))))))
accuracy99.6%
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
accuracy99.8%
(*.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)))))))
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
accuracy99.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64))))
accuracy99.4%
(*.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))))))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.6%
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
accuracy99.5%
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) x)
accuracy99.4%
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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)))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
Results
235.0ms256×0valid
Compiler

Compiled 1191 to 54 computations (95.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 50.0ms (48.4% of total)
...c/correct-round.rkt:119:19: 33.0ms (31.9% of total)
ival-add: 10.0ms (9.7% of total)
ival-div: 5.0ms (4.8% of total)
ival-sub: 3.0ms (2.9% of total)
ival-tan: 2.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))>
#<alt (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))>
#<alt (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x)>
#<alt (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<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 (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))>
#<alt (* (* x x) (+ -23/360 (* (* x x) -11/15120)))>
#<alt (/ (* (* x x) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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))))))))>
#<alt (* (* x x) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))>
#<alt (* x x)>
#<alt (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))>
#<alt (/ (* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x) (tan x))>
#<alt (* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x)>
#<alt (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))))>
#<alt (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* (* x x) -11/15120)>
#<alt (* x -1/362880)>
#<alt (* x (* x (+ 1/5040 (* x (* x -1/362880)))))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt (* 1/216 x)>
#<alt (* x (+ 1/216 (* -12167/46656000 (pow x 6))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))>
#<alt (* -2924207/221225582592000000 (pow x 19))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -2924207/221225582592000000 (pow x 19))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))>
#<alt 1/216>
#<alt (+ 1/216 (* -12167/46656000 (pow x 6)))>
#<alt (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))>
#<alt (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))>
#<alt (* -2924207/221225582592000000 (pow x 18))>
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* -2924207/221225582592000000 (pow x 18))>
#<alt (* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))>
#<alt (* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 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) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))>
#<alt (* -20449/365783040000 (pow x 14))>
#<alt (* -1 (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 14) (- (* -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 14))>
#<alt (* -1 (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))>
#<alt (* (pow x 14) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (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 (* -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 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))>
#<alt (* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 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 (* 529/129600 (pow x 2))>
#<alt (* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))>
#<alt (* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 10))>
#<alt (* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))>
#<alt (* -11/15120 (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 (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* -1/362880 x)>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))>
#<alt (* -1/362880 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* -1/362880 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
0.0ms
x
@inf
(* x (* x (+ 1/6 (* (* x x) (+ -23/360 (* (* x x) -11/15120))))))
0.0ms
x
@0
(* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
0.0ms
x
@0
(* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x)
0.0ms
x
@inf
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))

rewrite317.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
3702×*-lowering-*.f32
3702×*-lowering-*.f64
2260×fma-lowering-fma.f32
2260×fma-lowering-fma.f64
2156×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053474
1361333
23246333
08178333
Stop Event
iter limit
node limit
Counts
23 → 303
Calls
Call 1
Inputs
(* x (/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
(/ (* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* (+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))) x)
(+ 1/216 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(* (* x 1/6) x)
(* x 1/6)
(* 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 x) (+ -23/360 (* (* x x) -11/15120)))
(/ (* (* x x) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* 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) (- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))))))
(* x x)
(- 1/36 (* (* x x) (* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))))
(/ (* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x) (tan x))
(* (* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))) x)
(* x (* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880)))))))))))
(* x (+ 1/6 (* x (* x (+ -1/120 (* x (* x (+ 1/5040 (* x (* x -1/362880))))))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(* (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))) (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* (* x x) -11/15120)
(* x -1/362880)
(* x (* x (+ 1/5040 (* x (* x -1/362880)))))
Outputs
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(/.f64 (*.f64 (*.f64 (*.f64 x 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))))))) (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64)))))))))) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) #s(literal -23/360 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x 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))))))) (-.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 x (*.f64 x #s(literal -143/604800 binary64))))))))) (-.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.f64 (*.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))))))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 (*.f64 (+.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)))))) (+.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))))))) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.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))))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 (+.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)))))) (+.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))))))) x))
(*.f64 x (*.f64 x (*.f64 (+.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)))))) (+.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)))))))))
(*.f64 (*.f64 x x) (*.f64 (+.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)))))) (+.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))))))))
(*.f64 (+.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)))))) (*.f64 (*.f64 x 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))))))))
(*.f64 (*.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))))))) (*.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))))))))
(*.f64 (*.f64 (*.f64 x 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))))))) (+.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)))))))
(*.f64 (*.f64 (*.f64 (+.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)))))) (+.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))))))) x) x)
(*.f64 (*.f64 (+.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)))))) (+.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))))))) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(*.f64 #s(literal -11/15120 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -11/15120 binary64)) x)
(*.f64 x #s(literal -1/362880 binary64))
(*.f64 #s(literal -1/362880 binary64) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 1/5040 binary64)) x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))) x))
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) (*.f64 x x)) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/128024064000 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/47784725839872000 binary64))))) (+.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/131681894400 binary64)))) (-.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(*.f64 (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))) x)

simplify290.0ms (2.1%)

Algorithm
egg-herbie
Rules
5262×+-lowering-+.f64
5262×+-lowering-+.f32
5218×*-lowering-*.f32
5218×*-lowering-*.f64
1778×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03503106
111232747
238102623
085932623
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* 1/216 x)
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))
(* -2924207/221225582592000000 (pow x 19))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -2924207/221225582592000000 (pow x 19))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))
1/216
(+ 1/216 (* -12167/46656000 (pow x 6)))
(+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))
(+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))
(* -2924207/221225582592000000 (pow x 18))
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* -2924207/221225582592000000 (pow x 18))
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* 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) (- (* (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)))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -529/129600 (pow x 4))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* -253/2721600 (pow x 2)) 529/129600))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -70279/2286144000 (pow x 2)) 253/2721600)) 529/129600))))
(* -20449/365783040000 (pow x 14))
(* -1 (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 14) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* -20449/365783040000 (pow x 14))
(* -1 (* (pow x 14) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 14) (- (* -1 (/ (+ 1573/4572288000 (* 70279/2286144000 (/ 1 (pow x 2)))) (pow x 2))) 20449/365783040000))
(* (pow x 14) (- (* -1 (/ (+ 70279/2286144000 (* 253/2721600 (/ 1 (pow x 2)))) (pow x 4))) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (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 (* -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))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))))))
(* (pow x 9) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/6 (/ (cos x) (* (pow x 6) (sin x))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x))))))))
(* -1 (* (pow x 9) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (+ (* 1/362880 (/ (cos x) (sin x))) (* 1/120 (/ (cos x) (* (pow x 4) (sin x)))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 7))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 7))
(* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 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)))))))
(* 529/129600 (pow x 2))
(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 10))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(* -11/15120 (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))
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* -1/362880 x)
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(* -1/362880 (pow x 4))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* -1/362880 (pow x 4))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
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 (*.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))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.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 -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.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 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.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 -143/604800 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* 1/216 x)
(*.f64 x #s(literal 1/216 binary64))
(* x (+ 1/216 (* -12167/46656000 (pow x 6))))
(*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64))))
(* x (+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000))))
(+.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x x) #s(literal -5819/653184000 binary64))) (pow.f64 x #s(literal 7 binary64))))
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000))))
(+.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 (+.f64 #s(literal -12167/46656000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5819/653184000 binary64) (*.f64 (*.f64 x x) #s(literal -1644247/548674560000 binary64)))))) (pow.f64 x #s(literal 7 binary64))))
(* -2924207/221225582592000000 (pow x 19))
(*.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 19 binary64)))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x))))
(* (pow x 19) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 (+.f64 #s(literal -224939/1843546521600000 binary64) (/.f64 #s(literal -10222927/921773260800000 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 19) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -10222927/921773260800000 binary64) (/.f64 #s(literal -2292587/34566497280000 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x)))))
(* -2924207/221225582592000000 (pow x 19))
(*.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 19 binary64)))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (* 224939/1843546521600000 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 10222927/921773260800000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 19) (+ 2924207/221225582592000000 (+ (/ 10222927/921773260800000 (pow x 4)) (+ (* 224939/1843546521600000 (/ 1 (pow x 2))) (* 2292587/34566497280000 (/ 1 (pow x 6))))))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 19 binary64)) (+.f64 #s(literal 2924207/221225582592000000 binary64) (+.f64 (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2292587/34566497280000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 10222927/921773260800000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))))
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* -12167/46656000 (pow x 6)))
(+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64)))
(+ 1/216 (* (pow x 6) (- (* -5819/653184000 (pow x 2)) 12167/46656000)))
(+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (*.f64 (*.f64 x x) #s(literal -5819/653184000 binary64)))))
(+ 1/216 (* (pow x 6) (- (* (pow x 2) (- (* -1644247/548674560000 (pow x 2)) 5819/653184000)) 12167/46656000)))
(+.f64 #s(literal 1/216 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -12167/46656000 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -5819/653184000 binary64) (*.f64 (*.f64 x x) #s(literal -1644247/548674560000 binary64))))))))
(* -2924207/221225582592000000 (pow x 18))
(*.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 18 binary64)))
(* -1 (* (pow x 18) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x))))
(* (pow x 18) (- (* -1 (/ (+ 224939/1843546521600000 (* 10222927/921773260800000 (/ 1 (pow x 2)))) (pow x 2))) 2924207/221225582592000000))
(*.f64 (+.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 (+.f64 #s(literal -224939/1843546521600000 binary64) (/.f64 #s(literal -10222927/921773260800000 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (- (* -1 (/ (+ 10222927/921773260800000 (* 2292587/34566497280000 (/ 1 (pow x 2)))) (pow x 4))) (+ 2924207/221225582592000000 (* 224939/1843546521600000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -10222927/921773260800000 binary64) (/.f64 #s(literal -2292587/34566497280000 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal -2924207/221225582592000000 binary64) (/.f64 #s(literal 224939/1843546521600000 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 18 binary64)))
(* -2924207/221225582592000000 (pow x 18))
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(* (pow x 2) (+ 529/129600 (* 253/2721600 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 x (*.f64 x #s(literal 253/2721600 binary64)))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* 70279/2286144000 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 x (*.f64 x #s(literal 70279/2286144000 binary64)))))))
(* (pow x 2) (+ 529/129600 (* (pow x 2) (+ 253/2721600 (* (pow x 2) (+ 70279/2286144000 (* 1573/4572288000 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 529/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 253/2721600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) #s(literal 1573/4572288000 binary64))))))))
(* 20449/365783040000 (pow x 10))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 20449/365783040000 (pow x 10))
(*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal 20449/365783040000 binary64) (+.f64 (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x)) (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(* (pow x 10) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 253/2721600 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 70279/2286144000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 20449/365783040000 binary64) (/.f64 #s(literal 1573/4572288000 binary64) (*.f64 x x))) (/.f64 #s(literal 253/2721600 binary64) (pow.f64 x #s(literal 6 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))
(* -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))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* -1/362880 x)
(*.f64 x #s(literal -1/362880 binary64))
(* 1/5040 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(* -1/362880 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* -1/362880 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (*.f64 x x))))

eval201.0ms (1.5%)

Compiler

Compiled 79186 to 3032 computations (96.2% saved)

prune101.0ms (0.7%)

Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New113891147
Fresh51015
Picked235
Done044
Total1145261171
Accuracy
100.0%
Counts
1171 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 x (sin.f64 x)))
2.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (tan.f64 x) (+.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)))))))
51.8%
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
51.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
83.2%
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (*.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))))))) (*.f64 x #s(literal 1/6 binary64)))) x) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
83.3%
(/.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))
98.6%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
98.7%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
81.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x 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))))))) #s(literal 1/6 binary64))))))
51.7%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.1%
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
99.3%
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
51.8%
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
99.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
98.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
97.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
99.0%
(*.f64 x (/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
99.3%
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 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)))))))
98.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
99.3%
(*.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))))))))))
98.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1216 to 606 computations (50.2% saved)

simplify259.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
cost-diff0
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
cost-diff0
(*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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)
cost-diff0
(/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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) (tan.f64 x))
cost-diff0
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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))))
cost-diff0
(*.f64 x #s(literal 1/216 binary64))
cost-diff0
(/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 x (/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))
cost-diff0
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x))
cost-diff256
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
cost-diff256
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
cost-diff0
(*.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 -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
cost-diff0
(*.f64 (*.f64 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 x))
cost-diff256
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Rules
3210×+-lowering-+.f64
3210×+-lowering-+.f32
3176×*-lowering-*.f32
3176×*-lowering-*.f64
1256×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051686
1182595
2690587
32943587
47053587
08245587
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* 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)))))
(+ -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
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(+ (* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x)) (* x (* x 1/6)))
(* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x))
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(* x x)
x
(+ -23/360 (* x (* x -11/15120)))
-23/360
(* x (* x -11/15120))
(* x -11/15120)
-11/15120
(* x (* x 1/6))
(* x 1/6)
1/6
(* x (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
x
(/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* x 1/216)
1/216
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))
1/36
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* 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
(- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)
1/6
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))
(* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x)
(* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
x
(/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x)
(- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
1/36
(* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(* x x)
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
-1/120
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(+ 1/5040 (* (* x x) -1/362880))
1/5040
(* (* x x) -1/362880)
-1/362880
(- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
1/6
(tan x)
Outputs
(+ (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x)) (* 1/6 (* x x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal 1/6 binary64)))
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
x
(* 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 x (*.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x)) (* x (* x 1/6)))
(*.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) (+ -23/360 (* x (* x -11/15120)))) (* x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 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 x)
(*.f64 x x)
x
(+ -23/360 (* x (* x -11/15120)))
(+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))
-23/360
#s(literal -23/360 binary64)
(* x (* x -11/15120))
(*.f64 (*.f64 x x) #s(literal -11/15120 binary64))
(* x -11/15120)
(*.f64 x #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
(* x (* x 1/6))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal -1/6 binary64))))))
x
(/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(/.f64 (*.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal -1/6 binary64))))))
(* x 1/216)
(*.f64 x #s(literal 1/216 binary64))
1/216
#s(literal 1/216 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)))))) 1/6)))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal -1/6 binary64)))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))
(*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #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 (*.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)
(- (* 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 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) #s(literal -1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))
(/.f64 (*.f64 (*.f64 x (/.f64 x (tan.f64 x))) (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))))) (+.f64 #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 (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))))) (+.f64 #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 (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))))) (+.f64 #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
(/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))) (+.f64 #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))))))))
(* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x)
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))))
(- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))))))
1/36
#s(literal 1/36 binary64)
(* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (*.f64 x 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) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))
(*.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)
(*.f64 x x)
(+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))
(+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))))
-1/120
#s(literal -1/120 binary64)
(* (* x x) (+ 1/5040 (* (* x x) -1/362880)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))
(+ 1/5040 (* (* x x) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64)))
1/5040
#s(literal 1/5040 binary64)
(* (* x x) -1/362880)
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
-1/362880
#s(literal -1/362880 binary64)
(- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))
(+.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)))))))
1/6
#s(literal 1/6 binary64)
(tan x)
(tan.f64 x)

localize416.0ms (3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
accuracy99.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))))))
accuracy99.4%
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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)
accuracy83.7%
(/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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) (tan.f64 x))
accuracy99.7%
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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)))
accuracy99.5%
(*.f64 x #s(literal 1/216 binary64))
accuracy99.4%
(/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64)))))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal -11/15120 binary64)))
accuracy99.8%
(*.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 #s(literal 1/6 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
accuracy83.7%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x 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))))
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy99.3%
(*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))
Results
267.0ms256×0valid
Compiler

Compiled 941 to 52 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
...c/correct-round.rkt:119:19: 65.0ms (50.7% of total)
ival-mult: 40.0ms (31.2% of total)
ival-add: 10.0ms (7.8% of total)
ival-div: 7.0ms (5.5% of total)
ival-sub: 3.0ms (2.3% of total)
ival-tan: 2.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
27 → 324
Calls
Call 1
Inputs
#<alt (+ (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x)) (* 1/6 (* x x)))>
#<alt (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x))>
#<alt (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))>
#<alt (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))>
#<alt (/ (* 1/6 (* x (* x x))) x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x)) (* x (* x 1/6)))>
#<alt (* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x))>
#<alt (* (* x x) (+ -23/360 (* x (* x -11/15120))))>
#<alt (* x (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))>
#<alt (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))>
#<alt (* x 1/216)>
#<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)))))) 1/6)))>
#<alt (/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))>
#<alt (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x)>
#<alt (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))>
#<alt (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))>
#<alt (* 1/6 (* x x))>
#<alt (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))>
#<alt (* x 1/6)>
#<alt (* x -11/15120)>
#<alt (* x (* x -11/15120))>
#<alt (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))>
#<alt (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x)>
#<alt (* (* x x) -1/362880)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* (pow x 4) (- (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<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 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (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 (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 4) (- (* -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 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 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 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 6) (+ 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) (- (* 5189/567000 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ 1693440000/20449 (pow x 10))>
#<alt (/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 10))>
#<alt (/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 10))>
#<alt (/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 10))>
#<alt (/ 1693440000/20449 (pow x 10))>
#<alt (/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 10))>
#<alt (/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 10))>
#<alt (/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 10))>
#<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) (- (* 5189/567000 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ 1693440000/20449 (pow x 11))>
#<alt (/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 11))>
#<alt (/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 11))>
#<alt (/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 11))>
#<alt (/ 1693440000/20449 (pow x 11))>
#<alt (* -1 (/ (- (* 135475200000/265837 (/ 1 (pow x 2))) 1693440000/20449) (pow x 11)))>
#<alt (* -1 (/ (- (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4))) 1693440000/20449) (pow x 11)))>
#<alt (* -1 (/ (- (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4))) (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6))))) (pow x 11)))>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<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 (* 1441/10886400 (pow x 2)))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 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) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* (pow x 9) (- (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 9) (- (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))))) (+ (* -72 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))))>
#<alt (* (pow x 9) (- (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))) (* 6/5 (/ (cos x) (* (pow x 6) (sin x))))))) (+ (* -72 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 6))) (+ (* -72 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 3024 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 6))))))))))>
#<alt (* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x)))))))>
#<alt (* -1 (* (pow x 9) (+ (* -1 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (+ (* -1 (/ (- (* 6/5 (/ (cos x) (sin x))) (+ (* -72 (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x)))))) (+ (* -1/6 (/ (cos x) (sin x))) (* 3024 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))))))) (pow x 6))) (* 1/362880 (/ (cos x) (sin x))))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))>
#<alt (* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))>
#<alt (* -1/362880 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<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 (* -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 (* 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 (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -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 (* 1441/10886400 (pow x 2))))))>
#<alt (* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 20449/365783040000 (pow x 12))>
#<alt (* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))>
#<alt (* -1/131681894400 (pow x 13))>
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))>
#<alt (* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))>
#<alt (* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))>
#<alt (* -1/131681894400 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
#<alt (* -1/362880 (pow x 2))>
Calls

81 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))
3.0ms
x
@-inf
(* x -11/15120)
2.0ms
x
@-inf
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))
1.0ms
x
@-inf
(/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
0.0ms
x
@0
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))

rewrite386.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3766×*-lowering-*.f32
3766×*-lowering-*.f64
2878×/-lowering-/.f32
2878×/-lowering-/.f64
1602×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051466
1355339
23159333
08297333
Stop Event
iter limit
node limit
Counts
27 → 473
Calls
Call 1
Inputs
(+ (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (* x x))
(* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800))))))
(* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x)) (* x (* x 1/6)))
(* (* (* x x) (+ -23/360 (* x (* x -11/15120)))) (* x x))
(* (* x x) (+ -23/360 (* x (* x -11/15120))))
(* x (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))))
(/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))))
(* x 1/216)
(+ 1/36 (* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6)))
(/ (* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x) (tan x))
(* (* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))) x)
(* x (/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))))
(/ (* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x) (- 1/6 (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880)))))))
(* 1/6 (* x x))
(* (* x x) (+ -11/15120 (* (* x x) -143/604800)))
(* x 1/6)
(* x -11/15120)
(* x (* x -11/15120))
(* (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) (- (* x (* x (+ -23/360 (* (* x x) (+ -11/15120 (* (* x x) -143/604800)))))) 1/6))
(* (- 1/36 (* (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))) (* (* x x) (+ -1/120 (* (* x x) (+ 1/5040 (* (* x x) -1/362880))))))) x)
(* (* x x) -1/362880)
Outputs
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(/.f64 (*.f64 x (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.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)))))) (*.f64 (*.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)))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.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)))))) (*.f64 (*.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)))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))) x)) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.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)))))) (*.f64 (*.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)))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) x)) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.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)))))) (*.f64 (*.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)))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x))))))))))
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(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5040 binary64) (*.f64 (*.f64 x x) #s(literal -1/362880 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))))) x)
(*.f64 x (*.f64 x #s(literal -1/362880 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(*.f64 #s(literal -1/362880 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -1/362880 binary64)) x)

simplify330.0ms (2.4%)

Algorithm
egg-herbie
Rules
4090×*-lowering-*.f32
4090×*-lowering-*.f64
3386×+-lowering-+.f64
3386×+-lowering-+.f32
1598×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03723406
111982991
240682915
083162915
Stop Event
iter limit
node limit
Counts
324 → 324
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)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* (pow x 4) (- (* (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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -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 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(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))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 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))))))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 6) (+ 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) (- (* 5189/567000 (pow x 2)) 11/15120)) 23/360))))
(/ 1693440000/20449 (pow x 10))
(/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 10))
(/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 10))
(/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 10))
(/ 1693440000/20449 (pow x 10))
(/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 10))
(/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 10))
(/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 10))
(* 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) (- (* 5189/567000 (pow x 2)) 11/15120)) 23/360))))
(/ 1693440000/20449 (pow x 11))
(/ (- 1693440000/20449 (* 135475200000/265837 (/ 1 (pow x 2)))) (pow x 11))
(/ (+ 1693440000/20449 (* -1 (/ (+ 135475200000/265837 (* 1611883929600000/38014691 (/ 1 (pow x 2)))) (pow x 2)))) (pow x 11))
(/ (- (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6)))) (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4)))) (pow x 11))
(/ 1693440000/20449 (pow x 11))
(* -1 (/ (- (* 135475200000/265837 (/ 1 (pow x 2))) 1693440000/20449) (pow x 11)))
(* -1 (/ (- (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4))) 1693440000/20449) (pow x 11)))
(* -1 (/ (- (+ (* 135475200000/265837 (/ 1 (pow x 2))) (/ 1611883929600000/38014691 (pow x 4))) (+ 1693440000/20449 (* 170538891264000000/494190983 (/ 1 (pow x 6))))) (pow x 11)))
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
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 (* 1441/10886400 (pow x 2)))))))
(* 20449/365783040000 (pow x 12))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 12))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (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) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* (pow x 9) (- (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x))))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 9) (- (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))))) (+ (* -72 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (* 1/5040 (/ (cos x) (* (pow x 2) (sin x))))))))
(* (pow x 9) (- (+ (* -13/420 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* -1/362880 (/ (cos x) (sin x))) (+ (* 1/2520 (/ (cos x) (* (pow x 2) (sin x)))) (* 6/5 (/ (cos x) (* (pow x 6) (sin x))))))) (+ (* -72 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 6))) (+ (* -72 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 4))) (+ (* -1/6 (/ (cos x) (* (pow x 6) (sin x)))) (+ (* -1/120 (/ (cos x) (* (pow x 4) (sin x)))) (+ (* 1/5040 (/ (cos x) (* (pow x 2) (sin x)))) (* 3024 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 6))))))))))
(* -1/362880 (/ (* (pow x 9) (cos x)) (sin x)))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x))))))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (* 1/362880 (/ (cos x) (sin x)))))))
(* -1 (* (pow x 9) (+ (* -1 (/ (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x))))) (pow x 4))) (+ (* -1 (/ (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))) (pow x 2))) (+ (* -1 (/ (- (* 6/5 (/ (cos x) (sin x))) (+ (* -72 (- (* -13/420 (/ (cos x) (sin x))) (+ (* -72 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x))))) (* -1/120 (/ (cos x) (sin x)))))) (+ (* -1/6 (/ (cos x) (sin x))) (* 3024 (- (* 1/2520 (/ (cos x) (sin x))) (* 1/5040 (/ (cos x) (sin x)))))))) (pow x 6))) (* 1/362880 (/ (cos x) (sin x))))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 9))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 9))
(* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 8))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 8) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* 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) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/362880 (pow x 7))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))
(* (pow x 7) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))
(* -1/362880 (pow x 7))
(* -1 (* (pow x 7) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* 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))
(* -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))))))
(* 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)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -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 (* 1441/10886400 (pow x 2))))))
(* (pow x 2) (+ 23/2160 (* (pow x 2) (+ 1271/302400 (* (pow x 2) (+ 1441/10886400 (* 70279/2286144000 (pow x 2))))))))
(* 20449/365783040000 (pow x 12))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 20449/365783040000 (pow x 12))
(* (pow x 12) (+ 20449/365783040000 (* 1573/4572288000 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (* 1573/4572288000 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 20449/365783040000 (+ (/ 70279/2286144000 (pow x 4)) (+ (* 1573/4572288000 (/ 1 (pow x 2))) (* 1441/10886400 (/ 1 (pow x 6)))))))
(* 1/36 x)
(* x (+ 1/36 (* -1/14400 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/302400 (pow x 2)) 1/14400))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/302400 (* -13/152409600 (pow x 2)))) 1/14400))))
(* -1/131681894400 (pow x 13))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) 1/131681894400))
(* (pow x 13) (- (* 1/914457600 (/ 1 (pow x 2))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(* (pow x 13) (- (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))) (+ 1/131681894400 (/ 13/152409600 (pow x 4)))))
(* -1/131681894400 (pow x 13))
(* -1 (* (pow x 13) (- 1/131681894400 (* 1/914457600 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (* 1/914457600 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 1/131681894400 (/ 13/152409600 (pow x 4))) (+ (* 1/914457600 (/ 1 (pow x 2))) (* 1/302400 (/ 1 (pow x 6)))))))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
(* -1/362880 (pow x 2))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.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 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -143/604800 binary64) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) (/.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* -11/15120 (pow x 2)) 23/360))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.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 x (*.f64 x #s(literal -143/604800 binary64)))))))))
(* (pow x 4) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(*.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 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))))))
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(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))
(* -1/362880 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/362880 binary64))

eval331.0ms (2.4%)

Compiler

Compiled 73606 to 4366 computations (94.1% saved)

prune229.0ms (1.7%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New151971526
Fresh21214
Picked235
Done077
Total1523291552
Accuracy
100.0%
Counts
1552 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 x (sin.f64 x)))
2.7%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (tan.f64 x) (+.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)))))))
51.8%
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
51.8%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
83.2%
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (*.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))))))) (*.f64 x #s(literal 1/6 binary64)))) x) (tan.f64 x))
83.4%
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
83.3%
(/.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))
98.7%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
81.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
96.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
51.7%
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
99.3%
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
99.1%
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
83.3%
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
98.8%
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
51.8%
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
99.1%
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
82.0%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
82.0%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
98.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
97.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
98.0%
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
99.3%
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 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)))))))
98.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
99.3%
(*.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))))))))))
98.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 1869 to 563 computations (69.9% saved)

regimes28.0ms (0.2%)

Counts
45 → 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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.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)))))))
(*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x 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))))))) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #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 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/120 binary64)))))) (tan.f64 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 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) (tan.f64 x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) x) (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 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) x) (tan.f64 x))
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (*.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))))))) (*.f64 x #s(literal 1/6 binary64)))) x) (tan.f64 x))
(/.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.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)))))) (*.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) (-.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) (tan.f64 x))
(/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64)))))))))))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/120 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x #s(literal -1/362880 binary64))))))))) #s(literal 1/6 binary64))))) (tan.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.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 x (sin.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64)))) (*.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 x (sin.f64 x)))
(/.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (tan.f64 x) (+.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)))))))
Outputs
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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))))))
Calls

2 calls:

14.0ms
x
10.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes14.0ms (0.1%)

Counts
25 → 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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.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)))))))
(*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x 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))))))) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #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 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
Outputs
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #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
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.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)))))))
(*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x 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))))))) #s(literal 1/6 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 (*.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) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))))
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
19 → 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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.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)))))))
(*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Outputs
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts
18 → 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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.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)))))))
(*.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 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64)))))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -11/15120 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
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:

5.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

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

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.8%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 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x 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 x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.1b remaining (-7.2%)

Threshold costs -0.1b (-7.2%)

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 #s(literal 1/6 binary64) (*.f64 x x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify36.0ms (0.3%)

Algorithm
egg-herbie
Rules
88×*-commutative_binary64
56×+-commutative_binary64
34×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056292
1109292
2136292
3157292
4172292
5187292
6198292
7213292
8220292
9224292
10225292
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #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 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.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)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Outputs
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) (-.f64 (*.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 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 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 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (/.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))) (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 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 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64))))))) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) #s(literal -11/15120 binary64)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
(*.f64 x (/.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))

soundness2.2s (16.2%)

Rules
5690×*-lowering-*.f32
5690×*-lowering-*.f64
5262×+-lowering-+.f64
5262×+-lowering-+.f32
5218×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044234
1290184
22620184
08270184
051466
1355339
23159333
08297333
03503106
111232747
238102623
085932623
03653064
112062686
243252617
086802617
0105401
1317344
2977332
33159302
46705296
08243296
03723406
111982991
240682915
083162915
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 442 to 144 computations (67.4% saved)

preprocess76.0ms (0.5%)

Remove

(abs x)

Compiler

Compiled 2414 to 562 computations (76.7% saved)

end0.0ms (0%)

Profiling

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