exp2 (problem 3.3.7)

Time bar (total: 23.3s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-fabs: 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-neg: 0.0ms (0% of total)

sample5.5s (23.6%)

Results
3.9s5748×2valid
720.0ms2354×1valid
29.0ms154×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-exp: 2.3s (61.4% of total)
backward-pass: 354.0ms (9.3% of total)
ival-sub: 328.0ms (8.6% of total)
ival-neg: 281.0ms (7.4% of total)
ival-add: 266.0ms (7% of total)
ival-fabs: 115.0ms (3% of total)
ival-<=: 91.0ms (2.4% of total)
const: 34.0ms (0.9% of total)
Bogosity

preprocess143.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
296×fnmadd-define
294×fmsub-define
290×fnmsub-define
290×fnmadd-define
282×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
14022
210122
325822
463322
5112822
6135522
7140422
078
1197
2377
3627
41167
52147
64987
79507
811617
912327
1012467
012467
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (- (exp x) 2) (exp (neg x)))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Call 2
Inputs
(+ (- (exp x) 2) (exp (neg x)))
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
Outputs
(+ (- (exp x) 2) (exp (neg x)))
(sum3 (exp x) (recip (exp x)) -2)
(+ (- (exp (neg x)) 2) (exp (neg (neg x))))
(sum3 (exp x) (recip (exp x)) -2)
(neg (+ (- (exp (neg x)) 2) (exp (neg (neg x)))))
(- (- 2 (recip (exp x))) (exp x))
Symmetry

(abs x)

explain432.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1312(4.3354636648277407e-162)0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
Results
286.0ms362×2valid
55.0ms144×1valid
1.0ms6×0valid
Compiler

Compiled 55 to 23 computations (58.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-exp: 135.0ms (61.1% of total)
backward-pass: 34.0ms (15.4% of total)
ival-sub: 20.0ms (9% of total)
ival-add: 16.0ms (7.2% of total)
ival-neg: 14.0ms (6.3% of total)
const: 2.0ms (0.9% of total)

eval1.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶53.3%
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Rules
296×fnmadd-define
270×sum3-define
252×fmsub-define
244×fma-lowering-fma.f32
244×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
12840
24640
36740
411740
521440
649740
794840
8115940
9123040
10124440
0124440
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
x
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
1
-2
(+ (- (exp x) 2) (exp (neg x)))
(- (exp x) 2)
(exp x)
x
2
(exp (neg x))
(neg x)
Outputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(exp x)
(exp.f64 x)
x
(+ (/ 1 (exp x)) -2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
-2
#s(literal -2 binary64)
(+ (- (exp x) 2) (exp (neg x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(exp x)
(exp.f64 x)
x
2
#s(literal 2 binary64)
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize319.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(-.f64 (exp.f64 x) #s(literal 2 binary64))
✓accuracy53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 x))
✓accuracy53.3%
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
Results
212.0ms181×2valid
52.0ms72×1valid
1.0ms3×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-exp: 70.0ms (46.4% of total)
backward-pass: 27.0ms (17.9% of total)
ival-add: 24.0ms (15.9% of total)
ival-div: 12.0ms (7.9% of total)
ival-sub: 8.0ms (5.3% of total)
ival-neg: 7.0ms (4.6% of total)
const: 3.0ms (2% of total)

series9.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (+ (exp x) (+ (/ 1 (exp x)) -2))>
#<alt (exp x)>
#<alt (+ (/ 1 (exp x)) -2)>
#<alt (/ 1 (exp x))>
#<alt (- (exp x) 2)>
#<alt (+ (- (exp x) 2) (exp (neg x)))>
#<alt (exp (neg x))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt (- (+ (exp x) (/ 1 (exp x))) 2)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* 1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt (- (/ 1 (exp x)) 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* 1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (- (exp x) 2)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (neg x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt (- (+ (exp x) (exp (* -1 x))) 2)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (exp x) (+ (/ 1 (exp x)) -2))
1.0ms
x
@inf
(+ (exp x) (+ (/ 1 (exp x)) -2))
1.0ms
x
@0
(+ (exp x) (+ (/ 1 (exp x)) -2))
0.0ms
x
@-inf
(+ (- (exp x) 2) (exp (neg x)))
0.0ms
x
@0
(+ (/ 1 (exp x)) -2)

rewrite813.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3818×/-lowering-/.f32
3818×/-lowering-/.f64
3478×*-lowering-*.f32
3478×*-lowering-*.f64
2196×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01233
18329
282827
0884927
Stop Event
1×iter limit
1×node limit
Counts
7 → 513
Calls
Call 1
Inputs
(+ (exp x) (+ (/ 1 (exp x)) -2))
(exp x)
(+ (/ 1 (exp x)) -2)
(/ 1 (exp x))
(- (exp x) 2)
(+ (- (exp x) 2) (exp (neg x)))
(exp (neg x))
Outputs
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))
(+.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (neg.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))))
(-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64))))))) (/.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))) (exp.f64 x))
(fma.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))) (+.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (exp.f64 x) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))))))
(*.f64 (+.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))))))
(*.f64 (+.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 (exp.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x))))
(*.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -8 binary64)) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64)))) (exp.f64 x)))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 x))))
(*.f64 (+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(*.f64 (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 x)))))))
(*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 3 binary64)) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64))))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (exp.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (exp.f64 x) #s(literal -2 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(pow.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))

simplify446.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1978×+-lowering-+.f64
1978×+-lowering-+.f32
1744×sum3-define
1528×*-lowering-*.f32
1528×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067495
1193450
2533437
31509437
42662437
56024437
67679437
08141437
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
(- (+ (exp x) (/ 1 (exp x))) 2)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
-1
(- (* -1 x) 1)
(- (* x (- (* 1/2 x) 1)) 1)
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
(- (/ 1 (exp x)) 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(- (exp x) 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (neg x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
(- (+ (exp x) (exp (* -1 x))) 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* 1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
(- (/ 1 (exp x)) 2)
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(+.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(+.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(- (exp x) 2)
(+.f64 (exp.f64 x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(- (+ (exp x) (exp (* -1 x))) 2)
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))

eval213.0ms (0.9%)

Compiler

Compiled 15792 to 1181 computations (92.5% saved)

prune134.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6447651
Fresh000
Picked112
Done000
Total6458653
Accuracy
100.0%
Counts
653 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
▶52.2%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
▶99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
▶99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
▶99.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
▶98.8%
(*.f64 x x)
Compiler

Compiled 177 to 105 computations (40.7% saved)

simplify368.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
Rules
3256×fma-define
2750×fma-lowering-fma.f32
2750×fma-lowering-fma.f64
1336×sum3-define
888×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024204
189184
2321184
3988178
42233178
52827178
63462178
73882178
84065178
94108178
104126178
114129178
124130178
134981178
144981178
04981178
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
1
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
1/12
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
(* x x)
x
(* (* x x) (+ 1 (* (* x x) 1/12)))
(* x x)
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
1/12
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(* x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
1
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(+ (exp x) -1)
(exp x)
x
-1
Outputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1 (* (* x x) 1/12)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(+ (exp x) -1)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(exp x)
(exp.f64 x)
x
-1
#s(literal -1 binary64)

localize590.0ms (2.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 x)
✓accuracy8.6%
(+.f64 (exp.f64 x) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
Results
460.0ms250×1valid
5.0ms6×0valid
Compiler

Compiled 206 to 25 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-mult: 149.0ms (54% of total)
ival-add: 40.0ms (14.5% of total)
...c/correct-round.rkt:119:19: 38.0ms (13.8% of total)
backward-pass: 33.0ms (12% of total)
ival-exp: 15.0ms (5.4% of total)
const: 1.0ms (0.4% of total)

series33.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))>
#<alt (* x x)>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (* (* x x) (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))>
#<alt (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (+ (exp x) -1)>
#<alt (exp x)>
#<alt (* (* x x) 1/20160)>
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))>
#<alt (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* (* x x) 1/360)>
#<alt (+ 1/12 (* (* x x) 1/360))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt (- (exp x) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (* x x) 1/360)
2.0ms
x
@inf
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
1.0ms
x
@inf
(* (* x x) 1/12)
1.0ms
x
@inf
(* (* x x) (+ 1 (* (* x x) 1/12)))
1.0ms
x
@inf
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))

rewrite1.2s (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
4376×*-lowering-*.f32
4376×*-lowering-*.f64
3144×/-lowering-/.f32
3144×/-lowering-/.f64
2638×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024173
1174154
21627148
09331148
Stop Event
1×iter limit
1×node limit
Counts
17 → 500
Calls
Call 1
Inputs
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))))
(* x x)
(+ 1 (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(* (* x x) (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(* (* x x) 1/12)
(* (* x x) (+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360)))))
(+ 1 (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ (exp x) -1)
(exp x)
(* (* x x) 1/20160)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(* (* x x) 1/360)
(+ 1/12 (* (* x x) 1/360))
Outputs
(+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(fma.f64 x x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(fma.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) x) x (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
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(/.f64 (*.f64 (+.f64 #s(literal 1/5159780352 binary64) (*.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2985984 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/80621568000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/1728 binary64) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2985984 binary64) (*.f64 (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/20736 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/20736 binary64) (*.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/1728 binary64) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))) (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/1728 binary64) (*.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))))

simplify448.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2408×*-lowering-*.f32
2408×*-lowering-*.f64
2200×+-lowering-+.f64
2200×+-lowering-+.f32
2174×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0881638
13081506
29191468
328091468
447051454
083171454
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 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)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
(- (exp x) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
(* 1/360 (pow x 2))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
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(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(+ 1/12 (* 1/360 (pow x 2)))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))

eval296.0ms (1.3%)

Compiler

Compiled 27924 to 2200 computations (92.1% saved)

prune211.0ms (0.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New88913902
Fresh022
Picked325
Done011
Total89218910
Accuracy
100.0%
Counts
910 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.1%
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
99.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
▶99.1%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
▶99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
99.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
51.8%
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
▶52.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
▶52.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
51.7%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
52.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
51.8%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓98.8%
(*.f64 x x)
7.3%
(expm1.f64 x)
▶6.9%
x
Compiler

Compiled 507 to 261 computations (48.5% saved)

simplify475.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
Rules
3738×*-lowering-*.f32
3738×*-lowering-*.f64
2164×fma-lowering-fma.f32
2164×fma-lowering-fma.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032426
1131392
2505362
32355345
46381345
08111345
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(* x x)
x
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
1
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
1/144
(* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
1/12
x
(* (* x (+ 1 (* (* x x) 1/12))) x)
(* x (+ 1 (* (* x x) 1/12)))
x
(+ 1 (* (* x x) 1/12))
1
(* (* x x) 1/12)
(* x x)
1/12
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* x x)
x
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
1/12
(* (* x x) 1/360)
1/360
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(* x x)
x
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
1/12
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
Outputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))))
(* x x)
(*.f64 x x)
x
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
1
#s(literal 1 binary64)
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))))
(- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (-.f64 #s(literal -1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
1/144
#s(literal 1/144 binary64)
(* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(+ 1/360 (* x (* x 1/20160)))
(+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
1/360
#s(literal 1/360 binary64)
(* x (* x 1/20160))
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
1/12
#s(literal 1/12 binary64)
x
(* (* x (+ 1 (* (* x x) 1/12))) x)
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* x (+ 1 (* (* x x) 1/12)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
x
(+ 1 (* (* x x) 1/12))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
1
#s(literal 1 binary64)
(* (* x x) 1/12)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+ 1/12 (* (* x x) 1/360))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* (* x x) 1/360)
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
1/360
#s(literal 1/360 binary64)
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) #s(literal 1/12 binary64))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
1/20160
#s(literal 1/20160 binary64)

localize466.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/20160 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x))
✓accuracy99.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
Results
295.0ms256×0valid
Compiler

Compiled 428 to 33 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 72.0ms (47% of total)
ival-add: 44.0ms (28.7% of total)
...c/correct-round.rkt:119:19: 27.0ms (17.6% of total)
ival-sub: 6.0ms (3.9% of total)
ival-div: 4.0ms (2.6% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.1%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))>
#<alt (* x x)>
#<alt (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))>
#<alt (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))>
#<alt (* (* x (+ 1 (* (* x x) 1/12))) x)>
#<alt (* x (+ 1 (* (* x x) 1/12)))>
#<alt (+ 1 (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) 1/360)))>
#<alt (+ 1/12 (* (* x x) 1/360))>
#<alt (* (* x x) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))>
#<alt (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))>
#<alt (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))>
#<alt (* (* x x) (+ 1/360 (* x (* x 1/20160))))>
#<alt (* x (* x 1/20160))>
#<alt (* (* x x) 1/360)>
#<alt (* (* x x) 1/20160)>
#<alt (* (* x x) (+ 1/360 (* (* x x) 1/20160)))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* x (+ 1 (* 1/12 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 6))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 4))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt 1/12>
#<alt (+ 1/12 (* 1/360 (pow x 2)))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/144 (pow x 2))>
#<alt (* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
1.0ms
x
@inf
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
1.0ms
x
@inf
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
1.0ms
x
@0
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
1.0ms
x
@inf
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))

rewrite935.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3636×*-lowering-*.f32
3636×*-lowering-*.f64
2510×fma-lowering-fma.f32
2510×fma-lowering-fma.f64
2444×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032298
1241203
21903196
08550196
Stop Event
1×iter limit
1×node limit
Counts
20 → 551
Calls
Call 1
Inputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(* x x)
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(* (* x (+ 1 (* (* x x) 1/12))) x)
(* x (+ 1 (* (* x x) 1/12)))
(+ 1 (* (* x x) 1/12))
(* (* x x) 1/12)
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) 1/360))))
(* (* x x) (+ 1/12 (* (* x x) 1/360)))
(+ 1/12 (* (* x x) 1/360))
(* (* x x) (* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))))
(* (* x x) (+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160)))))
(+ 1/12 (* (* x x) (+ 1/360 (* (* x x) 1/20160))))
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(* x (* x 1/20160))
(* (* x x) 1/360)
(* (* x x) 1/20160)
(* (* x x) (+ 1/360 (* (* x x) 1/20160)))
Outputs
(+.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x))
(fma.f64 x x (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 x x) (*.f64 x x))
(fma.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (*.f64 x x))
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))))
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(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/20160 binary64)) x)
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(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
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(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
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simplify617.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5026×*-lowering-*.f32
5026×*-lowering-*.f64
2306×+-lowering-+.f64
2306×+-lowering-+.f32
1482×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01112135
13741974
210981942
346531932
084291932
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 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)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* 1/12 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
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(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
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(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/20160 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* 1/12 (pow x 3))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* (pow x 3) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* 1/12 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/360 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/360 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* 1/360 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
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eval546.0ms (2.3%)

Compiler

Compiled 44547 to 2654 computations (94% saved)

prune317.0ms (1.4%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New115581163
Fresh3710
Picked235
Done033
Total1160211181
Accuracy
100.0%
Counts
1181 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.1%
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
99.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
✓99.1%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
▶52.1%
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
▶52.1%
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
▶99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
▶99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3628800 binary64) (*.f64 x (*.f64 x #s(literal -1/406425600 binary64)))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
99.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
51.8%
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓52.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
51.7%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
▶51.8%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓98.8%
(*.f64 x x)
7.3%
(expm1.f64 x)
✓6.9%
x
Compiler

Compiled 765 to 420 computations (45.1% saved)

simplify585.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
✓cost-diff0
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
✓cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
Rules
5726×*-lowering-*.f32
5726×*-lowering-*.f64
1704×+-lowering-+.f64
1704×+-lowering-+.f32
1126×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050780
1194679
2777636
33826636
08256636
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(* x x)
x
(+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
1
(/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
1/144
(* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160)))
(* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x))
(- 1/129600 (* (* x (* x (* x x))) 1/406425600))
1/129600
(* (* x (* x (* x x))) 1/406425600)
(* x (* x (* x x)))
(* x (* x x))
1/406425600
(- 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
(* x (* x 1/20160))
(* x 1/20160)
(- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
1/12
(* (* x (* (* x x) 1/12)) x)
(* x (* (* x x) 1/12))
x
(* (* x x) 1/12)
(* x x)
1/12
(* (* x x) (* x (* 1/360 (* x (* x x)))))
(* x x)
x
(* x (* 1/360 (* x (* x x))))
(* 1/360 (* x (* x x)))
1/360
(* x (* x x))
(* (* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))) x)
(* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)))
x
(* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))
(* x x)
(+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(+ 1/360 (* (* x x) 1/20160))
1/360
(* (* x x) 1/20160)
1/20160
1/12
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))))
(* x x)
x
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360)))))
1
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
1/144
(* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(+ 1/360 (* x (* x 1/20160)))
1/360
(* x (* x 1/20160))
(* x 1/20160)
1/20160
(- 1/12 (* x (* x 1/360)))
1/12
(* x (* x 1/360))
(* x 1/360)
Outputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64))))))
1
#s(literal 1 binary64)
(/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64)))))
(* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64)))))
(- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(+.f64 #s(literal 1/144 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal -1/360 binary64))))
1/144
#s(literal 1/144 binary64)
(* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
(/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
(* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))
(- 1/129600 (* (* x (* x (* x x))) 1/406425600))
(+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))
1/129600
#s(literal 1/129600 binary64)
(* (* x (* x (* x x))) 1/406425600)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
1/406425600
#s(literal 1/406425600 binary64)
(- 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(+ 1/360 (* x (* x 1/20160)))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
(* x (* x 1/20160))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
(- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64))))
1/12
#s(literal 1/12 binary64)
(* (* x (* (* x x) 1/12)) x)
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(* x (* (* x x) 1/12))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
x
(* (* x x) 1/12)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* x x)
(*.f64 x x)
1/12
#s(literal 1/12 binary64)
(* (* x x) (* x (* 1/360 (* x (* x x)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 binary64))))
(* x x)
(*.f64 x x)
x
(* x (* 1/360 (* x (* x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/360 binary64))
(* 1/360 (* x (* x x)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/360
#s(literal 1/360 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* (* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))) x)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))))
(* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))
x
(* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))
(* x x)
(*.f64 x x)
(+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64))
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(* x (+ 1/360 (* (* x x) 1/20160)))
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(+ 1/360 (* (* x x) 1/20160))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* (* x x) 1/20160)
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
1/12
#s(literal 1/12 binary64)
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(* x x)
(*.f64 x x)
x
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
1
#s(literal 1 binary64)
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))
(*.f64 (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64)))))))
(- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(+.f64 #s(literal 1/144 binary64) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)) #s(literal -1/360 binary64)))))
1/144
#s(literal 1/144 binary64)
(* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(+ 1/360 (* x (* x 1/20160)))
(+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))
1/360
#s(literal 1/360 binary64)
(* x (* x 1/20160))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(* x 1/20160)
(*.f64 x #s(literal 1/20160 binary64))
1/20160
#s(literal 1/20160 binary64)
(- 1/12 (* x (* x 1/360)))
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
1/12
#s(literal 1/12 binary64)
(* x (* x 1/360))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* x 1/360)
(*.f64 x #s(literal 1/360 binary64))

localize819.0ms (3.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x))
✓accuracy99.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))
✓accuracy99.6%
(*.f64 x #s(literal 1/360 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
✓accuracy99.8%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
✓accuracy99.7%
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x))
✓accuracy99.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))
✓accuracy99.5%
(/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
Results
490.0ms256×0valid
Compiler

Compiled 840 to 51 computations (93.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-mult: 163.0ms (66.1% of total)
...c/correct-round.rkt:119:19: 40.0ms (16.2% of total)
ival-sub: 18.0ms (7.3% of total)
ival-add: 14.0ms (5.7% of total)
ival-div: 11.0ms (4.5% of total)
const: 1.0ms (0.4% of total)
backward-pass: 0.0ms (0% of total)

series44.0ms (0.2%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))>
#<alt (* x x)>
#<alt (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))>
#<alt (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))>
#<alt (* (* x (* (* x x) 1/12)) x)>
#<alt (* x (* (* x x) 1/12))>
#<alt (* (* x x) 1/12)>
#<alt (* (* x x) (* x (* 1/360 (* x (* x x)))))>
#<alt (* x (* 1/360 (* x (* x x))))>
#<alt (* 1/360 (* x (* x x)))>
#<alt (* (* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))) x)>
#<alt (* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)))>
#<alt (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))>
#<alt (* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))))>
#<alt (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360)))))>
#<alt (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))>
#<alt (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160)))>
#<alt (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))>
#<alt (* (* x x) 1/20160)>
#<alt (* x (* x x))>
#<alt (* x (+ 1/360 (* (* x x) 1/20160)))>
#<alt (* x (* x (+ 1/360 (* (* x x) 1/20160))))>
#<alt (* x 1/360)>
#<alt (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))>
#<alt (* (* x x) (+ 1/360 (* x (* x 1/20160))))>
Outputs
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<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>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 4))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 3))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 6))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 4))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/360 (pow x 3))>
#<alt (* 1/12 (pow x 4))>
#<alt (* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 8))>
#<alt (* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/12 (pow x 3))>
#<alt (* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 7))>
#<alt (* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* 1/20160 (pow x 6))>
#<alt (* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/12 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4))))))))>
#<alt (* 1/1128960 (pow x 10))>
#<alt (* (pow x 10) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt (* 1/1128960 (pow x 10))>
#<alt (* (pow x 10) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4)))))))>
#<alt (* 1/1128960 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt (* 1/1128960 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4))))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* (pow x 4) (- (* -71/508032000 (pow x 2)) 1/302400))))))>
#<alt (* 1/1128960 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt (* 1/1128960 (pow x 8))>
#<alt (* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/144 (pow x 2))>
#<alt (* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (* 1/20160 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/360 x)>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* x (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 3))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/360 x)>
#<alt (* 1/144 (pow x 2))>
#<alt (* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))>
#<alt (* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* -1/406425600 (pow x 10))>
#<alt (* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))>
#<alt (* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))>
#<alt (* 1/360 (pow x 2))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* 1/20160 (pow x 4))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360)))))
3.0ms
x
@0
(* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
2.0ms
x
@inf
(* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
1.0ms
x
@inf
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))))
1.0ms
x
@inf
(/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))

rewrite998.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
5868×*-lowering-*.f32
5868×*-lowering-*.f64
2646×/-lowering-/.f32
2646×/-lowering-/.f64
2134×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050545
1345302
23047288
09993288
Stop Event
1×iter limit
1×node limit
Counts
25 → 608
Calls
Call 1
Inputs
(* (* x x) (+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))))
(* x x)
(+ 1 (/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160)))))))
(/ (* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* (* x x) (+ 1/360 (* x (* x 1/20160))))))
(* (* x (* (* x x) 1/12)) x)
(* x (* (* x x) 1/12))
(* (* x x) 1/12)
(* (* x x) (* x (* 1/360 (* x (* x x)))))
(* x (* 1/360 (* x (* x x))))
(* 1/360 (* x (* x x)))
(* (* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))) x)
(* x (* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12)))
(* (* x x) (+ (* x (* x (+ 1/360 (* (* x x) 1/20160)))) 1/12))
(* (* x x) (+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))))
(+ 1 (/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360)))))
(/ (* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x)) (- 1/12 (* x (* x 1/360))))
(/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160)))
(* (- 1/144 (* (/ (* (- 1/129600 (* (* x (* x (* x x))) 1/406425600)) (* x x)) (- 1/360 (* (* x x) 1/20160))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(* (* x x) 1/20160)
(* x (* x x))
(* x (+ 1/360 (* (* x x) 1/20160)))
(* x (* x (+ 1/360 (* (* x x) 1/20160))))
(* x 1/360)
(* (- 1/144 (* (* (* x x) (+ 1/360 (* x (* x 1/20160)))) (* (* x x) (+ 1/360 (* x (* x 1/20160)))))) (* x x))
(* (* x x) (+ 1/360 (* x (* x 1/20160))))
Outputs
(+.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64)))) (*.f64 x x) (*.f64 x x))
(fma.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))
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(*.f64 (*.f64 x x) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) (*.f64 x x))
(*.f64 (*.f64 x (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))) x)
(+.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/20160 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x #s(literal 1/20160 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)) x (*.f64 x (*.f64 x #s(literal 1/360 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal 1/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/16796160000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16796160000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/165181768335360000 binary64))) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))))) (neg.f64 (+.f64 #s(literal -1/360 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/46656000 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))))) (+.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/360 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/20160 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2176782336000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/67134099304759689216000000 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))) (+.f64 #s(literal 1/16796160000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64)))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16796160000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/165181768335360000 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/406425600 binary64))))))
(pow.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(*.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(*.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/360 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) (/.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (-.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/360 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (-.f64 #s(literal 1/46656000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8193540096000 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) #s(literal 1 binary64)))

simplify601.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3446×*-lowering-*.f32
3446×*-lowering-*.f64
2578×+-lowering-+.f64
2578×+-lowering-+.f32
1562×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01572705
15202566
216202540
351632534
083532534
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 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)
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 4))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 3))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/12 (pow x 2))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 6))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 4))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/360 (pow x 3))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 4) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/12 (pow x 3))
(* (pow x 3) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 3) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4))))))))
(* 1/1128960 (pow x 10))
(* (pow x 10) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
(* 1/1128960 (pow x 10))
(* (pow x 10) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4)))))))
(* 1/1128960 (pow x 8))
(* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
(* 1/1128960 (pow x 8))
(* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* -1/302400 (pow x 4))))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* (pow x 4) (- (* -71/508032000 (pow x 2)) 1/302400))))))
(* 1/1128960 (pow x 8))
(* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
(* 1/1128960 (pow x 8))
(* (pow x 8) (+ 1/1128960 (* 71/564480 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (* 71/564480 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/1128960 (+ (/ 1849/282240 (pow x 4)) (+ (* 71/564480 (/ 1 (pow x 2))) (* 1849/9408 (/ 1 (pow x 6)))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(* 1/20160 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/360 x)
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* x (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 3))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/360 x)
(* 1/144 (pow x 2))
(* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* -1/406425600 (pow x 10))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 1/20160 (pow x 8))
(*.f64 #s(literal 1/20160 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/12 binary64))))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (/.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))))
(* 1/20160 (pow x 6))
(*.f64 #s(literal 1/20160 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/20160 binary64) (/.f64 #s(literal 1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
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(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 binary64))
(* 1/144 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/144 binary64))
(* (pow x 2) (+ 1/144 (* -1/129600 (pow x 4))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/129600 binary64)))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* -1/3628800 (pow x 2)) 1/129600))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64)))))))
(* (pow x 2) (+ 1/144 (* (pow x 4) (- (* (pow x 2) (- (* -1/406425600 (pow x 2)) 1/3628800)) 1/129600))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64)))))))))
(* -1/406425600 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -1/406425600 binary64))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (+.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x)) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* -1/406425600 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -1/406425600 binary64))
(* -1 (* (pow x 10) (+ 1/406425600 (* 1/3628800 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x))))
(* (pow x 10) (- (* -1 (/ (+ 1/3628800 (* 1/129600 (/ 1 (pow x 2)))) (pow x 2))) 1/406425600))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (/.f64 (+.f64 #s(literal -1/3628800 binary64) (/.f64 #s(literal -1/129600 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 10) (- (* 1/144 (/ 1 (pow x 8))) (+ 1/406425600 (+ (/ 1/129600 (pow x 4)) (* 1/3628800 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 10 binary64)) (+.f64 #s(literal -1/406425600 binary64) (+.f64 (/.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -1/3628800 binary64) (*.f64 x x)) (/.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* 1/20160 (pow x 4))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))

eval569.0ms (2.4%)

Compiler

Compiled 67966 to 4302 computations (93.7% saved)

prune403.0ms (1.7%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New1486131499
Fresh3710
Picked235
Done066
Total1491291520
Accuracy
100.0%
Counts
1520 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.5%
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.1%
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
99.2%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))))) (*.f64 x x))
52.1%
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
✓99.1%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
✓99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
✓99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
99.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
22.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
49.6%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))))))
98.8%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64))))
✓99.2%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
99.1%
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
51.8%
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
1.4%
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
3.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x)))))
51.6%
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
✓52.1%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
51.7%
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
✓51.8%
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
✓98.8%
(*.f64 x x)
7.3%
(expm1.f64 x)
✓6.9%
x
Compiler

Compiled 1687 to 559 computations (66.9% saved)

regimes49.0ms (0.2%)

Counts
43 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3628800 binary64) (*.f64 x (*.f64 x #s(literal -1/406425600 binary64)))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
(expm1.f64 x)
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (exp.f64 x) #s(literal -2 binary64)))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
Calls

2 calls:

17.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
16.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.1%)

Counts
36 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3628800 binary64) (*.f64 x (*.f64 x #s(literal -1/406425600 binary64)))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.1%)

Counts
35 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) #s(literal 1/12 binary64))))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/1128960 binary64) (/.f64 #s(literal 71/564480 binary64) (*.f64 x x))) (/.f64 #s(literal 1849/282240 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64)))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x #s(literal -1/3628800 binary64))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3628800 binary64) (*.f64 x (*.f64 x #s(literal -1/406425600 binary64)))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/129600 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3628800 binary64) (*.f64 (*.f64 x x) #s(literal -1/406425600 binary64))))))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/144 binary64)) (-.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x #s(literal 1/360 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1128960 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) x)
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/20160 binary64) (*.f64 x (*.f64 x x))))))
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x) x)
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x x)))))
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) x) x)
Outputs
(*.f64 x x)
Calls

1 calls:

19.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
6.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify211.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
814×unsub-neg_binary64
666×distribute-lft-neg-in_binary64
506×neg-mul-1_binary64
320×neg-sub0_binary64
294×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065225
1134225
2191225
3249225
4329225
5421225
6569225
7964225
81624225
92013225
102270225
112382225
122423225
132428225
142428225
152430225
162430225
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 x x)
x
Outputs
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64))))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) (-.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/406425600 binary64)) #s(literal 1/129600 binary64)))) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal -1/20160 binary64)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) (*.f64 x x)) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64)))))))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/406425600 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)) #s(literal 1/360 binary64)))))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))))))) (*.f64 x x))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 x (*.f64 x #s(literal 1/20160 binary64))))) #s(literal 1/12 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64))))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 x x) #s(literal 1/20160 binary64)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/12 binary64)) x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 x x)
x

soundness4.1s (17.4%)

Rules
5868×*-lowering-*.f32
5868×*-lowering-*.f64
4376×*-lowering-*.f32
4376×*-lowering-*.f64
3636×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050545
1345302
23047288
09993288
0881638
13081506
29191468
328091468
447051454
083171454
078
1197
2377
3627
41167
52147
64987
79507
811617
912327
1012467
012467
032298
1241203
21903196
08550196
024173
1174154
21627148
09331148
067495
1193450
2533437
31509437
42662437
56024437
67679437
08141437
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 497 to 232 computations (53.3% saved)

preprocess180.0ms (0.8%)

Remove

(abs x)

Compiler

Compiled 1678 to 750 computations (55.3% saved)

end0.0ms (0%)

Profiling

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