expm1 (example 3.7)

Time bar (total: 7.2s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% 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-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)

sample2.0s (28.3%)

Results
1.8s8065×1valid
10.0ms191×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-exp: 589.0ms (57.4% of total)
ival-sub: 130.0ms (12.7% of total)
ival-<=: 120.0ms (11.7% of total)
backward-pass: 114.0ms (11.1% of total)
ival-fabs: 61.0ms (5.9% of total)
const: 11.0ms (1.1% of total)
Bogosity

preprocess20.0ms (0.3%)

Algorithm
egg-herbie
Rules
60×sum3-define
58×fmsub-define
30×fmm-def
28×fma-define
28×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1219
2419
3629
4969
51349
61619
71999
82259
92389
102509
112519
042
1102
2112
0112
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (exp x) 1)
Outputs
(- (exp x) 1)
(expm1.f64 x)
Call 2
Inputs
(- (exp x) 1)
(- (exp (neg x)) 1)
(neg (- (exp (neg x)) 1))
Outputs
(- (exp x) 1)
(expm1 x)
(- (exp (neg x)) 1)
(expm1 (neg x))
(neg (- (exp (neg x)) 1))
(neg (expm1 (neg x)))

explain127.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2551(-0.006309366078395203)0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-x
00-0-(exp.f64 x)
00-0-#s(literal 1 binary64)
Results
99.0ms508×1valid
0.0ms0valid
Compiler

Compiled 25 to 14 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-exp: 33.0ms (66.8% of total)
backward-pass: 8.0ms (16.2% of total)
ival-sub: 7.0ms (14.2% of total)
const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 x)
Rules
+-lowering-+.f64
+-lowering-+.f32
exp-lowering-exp.f32
expm1-lowering-expm1.f32
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043
1103
2113
0113
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (exp x) 1)
x
Outputs
(- (exp x) 1)
(expm1.f64 x)
x

localize59.0ms (0.8%)

Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(expm1.f64 x)
Results
51.0ms253×5exit
0.0ms0valid
0.0ms1valid
Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
compiled-spec: 6.0ms (34.1% of total)
backward-pass: 6.0ms (34.1% of total)
ival-exp: 4.0ms (22.7% of total)
ival-sub: 2.0ms (11.4% of total)
const: 0.0ms (0% of total)

series1.0ms (0%)

Counts
1 → 12
Calls
Call 1
Inputs
#<alt (- (exp x) 1)>
Outputs
#<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)>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- (exp x) 1)
0.0ms
x
@-inf
(- (exp x) 1)
0.0ms
x
@inf
(- (exp x) 1)

rewrite90.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
574×/-lowering-/.f32
574×/-lowering-/.f64
536×*-lowering-*.f32
536×*-lowering-*.f64
284×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
1232
21342
012092
Stop Event
iter limit
iter limit
node limit
Counts
1 → 69
Calls
Call 1
Inputs
(- (exp x) 1)
Outputs
(+.f64 (exp.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 x))
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64))
(expm1.f64 x)
(neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))

simplify58.0ms (0.8%)

Algorithm
egg-herbie
Rules
1430×fma-define
1068×fma-lowering-fma.f32
1068×fma-lowering-fma.f64
336×*-lowering-*.f32
336×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02250
17244
219041
346541
497841
5140141
6155741
7155941
0155941
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
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)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)
(- (exp x) 1)
(expm1.f64 x)

eval9.0ms (0.1%)

Compiler

Compiled 1522 to 213 computations (86% saved)

prune13.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New77481
Fresh000
Picked011
Done000
Total77582
Accuracy
100.0%
Counts
82 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
99.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
99.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
100.0%
(expm1.f64 x)
98.5%
x
Compiler

Compiled 41 to 30 computations (26.8% saved)

simplify48.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Rules
1430×fma-define
1068×fma-lowering-fma.f32
1068×fma-lowering-fma.f64
336×*-lowering-*.f32
336×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020126
166106
2184103
3457103
4967103
51391103
61552103
71554103
01554103
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(* x (+ 1 (* x 1/2)))
x
(+ 1 (* x 1/2))
1
(* x 1/2)
1/2
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
x
(+ 1 (* x (+ 1/2 (* x 1/6))))
1
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
x
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
1
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
Outputs
x
(* x (+ 1 (* x 1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
x
(+ 1 (* x (+ 1/2 (* x 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x 1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* x 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
x
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)

localize145.0ms (2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
accuracy100.0%
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Results
110.0ms255×0valid
2.0ms5exit
Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 32.0ms (47.7% of total)
ival-mult: 25.0ms (37.2% of total)
...c/correct-round.rkt:119:19: 8.0ms (11.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* x (+ 1 (* x 1/2)))>
#<alt (+ 1 (* x 1/2))>
#<alt (* x 1/2)>
#<alt (* x (+ 1 (* x (+ 1/2 (* x 1/6)))))>
#<alt (+ 1 (* x (+ 1/2 (* x 1/6))))>
#<alt (* x (+ 1/2 (* x 1/6)))>
#<alt (+ 1/2 (* x 1/6))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))>
#<alt (+ 1/2 (* x (+ 1/6 (* x 1/24))))>
#<alt (* x 1/6)>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (+ 1/6 (* x 1/24))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<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 (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (+ 1/6 (* 1/24 x))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x 1/24)
1.0ms
x
@inf
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
1.0ms
x
@inf
(* x (+ 1 (* x 1/2)))
0.0ms
x
@-inf
(* x (+ 1 (* x 1/2)))
0.0ms
x
@-inf
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))

rewrite442.0ms (6.1%)

Algorithm
batch-egg-rewrite
Rules
3810×*-lowering-*.f32
3810×*-lowering-*.f64
3484×/-lowering-/.f32
3484×/-lowering-/.f64
1980×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020113
113793
2129090
0813190
Stop Event
iter limit
node limit
Counts
15 → 512
Calls
Call 1
Inputs
(* x (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(* x 1/2)
(* x (+ 1 (* x (+ 1/2 (* x 1/6)))))
(+ 1 (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(* x 1/6)
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
Outputs
(+.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x x)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/46656 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (*.f64 #s(literal 1/2985984 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/1296 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))

simplify330.0ms (4.6%)

Algorithm
egg-herbie
Rules
3042×*-lowering-*.f32
3042×*-lowering-*.f64
1980×+-lowering-+.f64
1980×+-lowering-+.f32
1858×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0841184
1313976
21004942
33992926
47166923
08339923
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
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)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
1/6
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(+ 1/6 (* 1/24 x))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x (+ 1/2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* 1/6 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (*.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(*.f64 (*.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* 1/24 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(+ 1/2 (* x (+ 1/6 (* 1/24 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(+ 1/6 (* 1/24 x))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))

eval100.0ms (1.4%)

Compiler

Compiled 19894 to 2188 computations (89% saved)

prune73.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6875692
Fresh000
Picked224
Done011
Total6898697
Accuracy
100.0%
Counts
697 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
99.7%
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
99.6%
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
26.3%
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))))
99.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
100.0%
(expm1.f64 x)
98.5%
x
Compiler

Compiled 285 to 125 computations (56.1% saved)

simplify211.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
cost-diff0
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
cost-diff640
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
cost-diff640
(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))
cost-diff768
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))
cost-diff768
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))))
Rules
3022×fma-lowering-fma.f32
3022×fma-lowering-fma.f64
1934×fma-define
1922×*-lowering-*.f32
1922×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040563
1123407
2395354
32058354
46934354
08407354
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))
x
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))
1
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
1/2
(* x (+ 1/6 (* x 1/24)))
(+ 1/6 (* x 1/24))
1/6
(* x 1/24)
1/24
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))
(* x x)
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))
(+ (* x (* x 1/2)) x)
(* x (* x 1/2))
x
(* x 1/2)
1/2
(/ x (/ 1 (+ 1 (* x 1/2))))
x
(/ 1 (+ 1 (* x 1/2)))
1
(+ 1 (* x 1/2))
(* x 1/2)
1/2
(+ (* x (* x (+ 1/2 (* x 1/6)))) x)
(* x (* x (+ 1/2 (* x 1/6))))
x
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
1/2
(* x 1/6)
1/6
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))
(* (* x (* x x)) x)
(* x (* x x))
x
(* x x)
(+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))
1/24
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)
(+ 1/6 (/ (+ 1/2 (/ 1 x)) x))
1/6
(/ (+ 1/2 (/ 1 x)) x)
(+ 1/2 (/ 1 x))
1/2
(/ 1 x)
1
Outputs
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))))
x
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(+ 1/2 (* x (+ 1/6 (* x 1/24))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ 1/6 (* x 1/24)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(+ 1/6 (* x 1/24))
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))
1/6
#s(literal 1/6 binary64)
(* x 1/24)
(*.f64 x #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x x)
(*.f64 x x)
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(+ (* x (* x 1/2)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (* x 1/2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ x (/ 1 (+ 1 (* x 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
(/ 1 (+ 1 (* x 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x (* x (+ 1/2 (* x 1/6)))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (* x (+ 1/2 (* x 1/6))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
x
(* x (+ 1/2 (* x 1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+ 1/2 (* x 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(* (* x (* x x)) x)
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))
(+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
1/24
#s(literal 1/24 binary64)
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(+ 1/6 (/ (+ 1/2 (/ 1 x)) x))
(+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
1/6
#s(literal 1/6 binary64)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize288.0ms (4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 x (*.f64 x x)) x)
accuracy99.8%
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
accuracy99.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy28.0%
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
accuracy100.0%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
accuracy100.0%
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))
accuracy99.9%
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))
accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/24 binary64))
Results
194.0ms255×0valid
4.0ms5exit
Compiler

Compiled 605 to 41 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 30.0ms (40.8% of total)
ival-div: 20.0ms (27.2% of total)
ival-add: 13.0ms (17.7% of total)
...c/correct-round.rkt:119:19: 8.0ms (10.9% of total)
const: 1.0ms (1.4% of total)
backward-pass: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)

series17.0ms (0.2%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))>
#<alt (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))>
#<alt (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))>
#<alt (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))>
#<alt (+ (* x (* x 1/2)) x)>
#<alt (* x (* x 1/2))>
#<alt (* x 1/2)>
#<alt (/ x (/ 1 (+ 1 (* x 1/2))))>
#<alt (/ 1 (+ 1 (* x 1/2)))>
#<alt (+ 1 (* x 1/2))>
#<alt (+ (* x (* x (+ 1/2 (* x 1/6)))) x)>
#<alt (* x (* x (+ 1/2 (* x 1/6))))>
#<alt (* x (+ 1/2 (* x 1/6)))>
#<alt (+ 1/2 (* x 1/6))>
#<alt (* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))>
#<alt (* (* x (* x x)) x)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (* x 1/24)>
#<alt (* x (+ 1/6 (* x 1/24)))>
#<alt (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))>
#<alt (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))>
#<alt (* x 1/6)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)>
Outputs
#<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 (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 3))>
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))>
#<alt (/ 24 (pow x 3))>
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))>
#<alt (/ 24 (pow x 3))>
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/8 x))) 1/2)))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/8 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/8 (/ 1 x))) x)) 1/72) x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* x (+ 1/2 (* 1/6 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (+ 1/2 (* 1/6 x))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))>
#<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 (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (pow x 4))>
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* x (+ 1/6 (* 1/24 x)))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (pow x 2))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))>
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))>
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))>
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))>
#<alt (* 1/13824 (pow x 9))>
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))>
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* 1/6 x)))>
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))>
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))>
#<alt (* 1/576 (pow x 6))>
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))>
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ (+ 1/2 (/ 1 x)) x)>
#<alt (/ 1 (pow x 3))>
#<alt (/ (+ 1 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))>
Calls

75 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)
1.0ms
x
@-inf
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))
0.0ms
x
@inf
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))
0.0ms
x
@-inf
(/ (+ 1/2 (/ 1 x)) x)
0.0ms
x
@0
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))

rewrite432.0ms (6%)

Algorithm
batch-egg-rewrite
Rules
4006×*-lowering-*.f32
4006×*-lowering-*.f64
2414×fma-lowering-fma.f32
2414×fma-lowering-fma.f64
2230×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040427
1303256
22974252
08987252
Stop Event
iter limit
node limit
Counts
25 → 666
Calls
Call 1
Inputs
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))
(+ (* x (* x 1/2)) x)
(* x (* x 1/2))
(* x 1/2)
(/ x (/ 1 (+ 1 (* x 1/2))))
(/ 1 (+ 1 (* x 1/2)))
(+ 1 (* x 1/2))
(+ (* x (* x (+ 1/2 (* x 1/6)))) x)
(* x (* x (+ 1/2 (* x 1/6))))
(* x (+ 1/2 (* x 1/6)))
(+ 1/2 (* x 1/6))
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))
(* (* x (* x x)) x)
(* x (* x x))
(* x x)
(* x 1/24)
(* x (+ 1/6 (* x 1/24)))
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))
(* x 1/6)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)
Outputs
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))) x))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(pow.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))

simplify269.0ms (3.7%)

Algorithm
egg-herbie
Rules
4192×*-lowering-*.f32
4192×*-lowering-*.f64
3620×+-lowering-+.f64
3620×+-lowering-+.f32
3136×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02932090
19941827
229701805
084351805
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
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)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 3))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))
(/ 24 (pow x 3))
(/ (- 24 (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))
(/ 24 (pow x 3))
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/12 (* 1/8 x))) 1/2)))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/8 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/8 (/ 1 x))) x)) 1/72) x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 4 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* (pow x 2) (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* x (+ 1/2 (* 1/6 x)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(+ 1/2 (* 1/6 x))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* 1/6 x)
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
(* x (+ 1/6 (* 1/2 (/ 1 x))))
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)))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/6 x)
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* x (+ 1/6 (* 1/24 x)))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(* 1/13824 (pow x 9))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* 1/6 x)))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(* 1/576 (pow x 6))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/ 1 (pow x 3))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/ 1/6 x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(* 1/24 (pow x 4))
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(* 1/24 (pow x 3))
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))
(*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
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(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) x)))
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 4)
(*.f64 (*.f64 x (*.f64 x x)) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(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)
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* x (+ 1/6 (* 1/24 x)))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* 1/24 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/24 binary64)))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(* 1/8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 1/8 x)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64)))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 7/96 binary64))))))
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 7/96 binary64) (*.f64 x #s(literal 11/432 binary64)))))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (+.f64 (/.f64 #s(literal 1/1152 binary64) x) (/.f64 #s(literal 7/1152 binary64) (*.f64 x x)))))
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/1152 binary64) x) (+.f64 (/.f64 #s(literal 7/1152 binary64) (*.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 11/432 binary64) (*.f64 x (*.f64 x x)))))))
(* 1/13824 (pow x 9))
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x)))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/1152 binary64) (/.f64 #s(literal -7/1152 binary64) x)) x))))
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))
(*.f64 (-.f64 #s(literal -1/13824 binary64) (/.f64 (+.f64 (/.f64 #s(literal 7/1152 binary64) x) (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 11/432 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 9 binary64))))
(* 1/4 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* 1/6 x)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 5/72 binary64))))))
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 5/72 binary64) (*.f64 x #s(literal 1/72 binary64))))))))
(* 1/576 (pow x 6))
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 (/.f64 #s(literal 5/72 binary64) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))))
(* 1/576 (pow x 6))
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x)))
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) #s(literal -5/72 binary64)) x) #s(literal -1/72 binary64)) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* 1/2 x)) (pow x 3))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x)))
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x))

eval223.0ms (3.1%)

Compiler

Compiled 76507 to 3847 computations (95% saved)

prune101.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New127231275
Fresh000
Picked325
Done123
Total127671283
Accuracy
100.0%
Counts
1283 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
99.7%
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
99.6%
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
99.6%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
100.0%
(expm1.f64 x)
98.5%
x
Compiler

Compiled 57 to 39 computations (31.6% saved)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
cost-diff128
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
cost-diff128
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
Rules
94×fma-define
86×*-lowering-*.f32
86×*-lowering-*.f64
84×fma-lowering-fma.f32
84×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01594
13578
26278
311278
413978
515278
615678
716178
816578
916678
016678
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (/ 1 (+ 1 (* x -1/2))))
x
(/ 1 (+ 1 (* x -1/2)))
1
(+ 1 (* x -1/2))
(* x -1/2)
-1/2
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))
x
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))
1
(+ 1 (* x (+ -1/2 (* x 1/12))))
(* x (+ -1/2 (* x 1/12)))
(+ -1/2 (* x 1/12))
-1/2
(* x 1/12)
1/12
(/ x (+ 1 (* x -1/2)))
x
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
Outputs
(* x (/ 1 (+ 1 (* x -1/2))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(/ 1 (+ 1 (* x -1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* x -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
x
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x 1/12))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* x (+ -1/2 (* x 1/12)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(+ -1/2 (* x 1/12))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ x (+ 1 (* x -1/2)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ 1 (* x -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize90.0ms (1.2%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
Results
66.0ms256×0valid
Compiler

Compiled 99 to 16 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (35.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (28.2% of total)
ival-div: 5.0ms (17.6% of total)
ival-add: 4.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (* x (/ 1 (+ 1 (* x -1/2))))>
#<alt (/ 1 (+ 1 (* x -1/2)))>
#<alt (+ 1 (* x -1/2))>
#<alt (* x -1/2)>
#<alt (* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))>
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))>
#<alt (+ 1 (* x (+ -1/2 (* x 1/12))))>
#<alt (* x (+ -1/2 (* x 1/12)))>
#<alt (/ x (+ 1 (* x -1/2)))>
#<alt (* x 1/12)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* -1/2 x))>
#<alt (* -1/2 x)>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* x (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1 (* x (- 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<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 (/ 12 x)>
#<alt (/ (+ 12 (* 72 (/ 1 x))) x)>
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x)>
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x)>
#<alt (/ 12 x)>
#<alt (/ (+ 12 (* 72 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))>
#<alt (/ 12 (pow x 2))>
#<alt (/ (+ 12 (* 72 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2))>
#<alt (/ 12 (pow x 2))>
#<alt (/ (+ 12 (* 72 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/12 x) 1/2))>
#<alt (* x (- (* 1/12 x) 1/2))>
#<alt (* x (- (* 1/12 x) 1/2))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+ 1 (* x -1/2))
1.0ms
x
@inf
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))
0.0ms
x
@-inf
(* x 1/12)
0.0ms
x
@inf
(* x (+ -1/2 (* x 1/12)))
0.0ms
x
@-inf
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))

rewrite295.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
3950×*-lowering-*.f32
3950×*-lowering-*.f64
2772×/-lowering-/.f32
2772×/-lowering-/.f64
1814×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
19157
269357
3716657
0879657
Stop Event
iter limit
node limit
Counts
10 → 543
Calls
Call 1
Inputs
(* x (/ 1 (+ 1 (* x -1/2))))
(/ 1 (+ 1 (* x -1/2)))
(+ 1 (* x -1/2))
(* x -1/2)
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))
(+ 1 (* x (+ -1/2 (* x 1/12))))
(* x (+ -1/2 (* x 1/12)))
(/ x (+ 1 (* x -1/2)))
(* x 1/12)
Outputs
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
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(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))

simplify214.0ms (3%)

Algorithm
egg-herbie
Rules
2226×*-lowering-*.f32
2226×*-lowering-*.f64
1968×fma-lowering-fma.f32
1968×fma-lowering-fma.f64
1792×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0152856
1445749
21174728
33105702
46700702
08437702
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
1
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(+ 1 (* -1/2 x))
(* -1/2 x)
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* x (- (/ 1 x) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1 (* x (- 1/2 (/ 1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
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)))))))
(/ 12 x)
(/ (+ 12 (* 72 (/ 1 x))) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x)
(/ 12 x)
(/ (+ 12 (* 72 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x))
(* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(/ 12 (pow x 2))
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2))
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2))
(/ 12 (pow x 2))
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2))
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))
(/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(* -1/2 x)
(* x (- (* 1/12 x) 1/2))
(* x (- (* 1/12 x) 1/2))
(* x (- (* 1/12 x) 1/2))
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* 1/12 (pow x 2))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
-2
(* -1 (+ 2 (* 4 (/ 1 x))))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x))
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x))
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/4 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64)))))))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (/ 1 x) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(/ 12 x)
(/.f64 #s(literal 12 binary64) x)
(/ (+ 12 (* 72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) x)
(/ 12 x)
(/.f64 #s(literal 12 binary64) x)
(/ (+ 12 (* 72 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1 (* x (+ 1/2 (* 1/6 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))
(/ 12 (pow x 2))
(/.f64 #s(literal 12 binary64) (*.f64 x x))
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) (*.f64 x x))
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) (*.f64 x x))
(/ 12 (pow x 2))
(/.f64 #s(literal 12 binary64) (*.f64 x x))
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) x)
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) (*.f64 x x))
(/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(+ 1 (* x (- (* 1/12 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (- (* 1/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* x (- (* 1/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* 1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/12 binary64)))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/8 binary64))))))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x))
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 4 (/ 1 x))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x))
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x))
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))

eval117.0ms (1.6%)

Compiler

Compiled 20128 to 1832 computations (90.9% saved)

prune104.0ms (1.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New7686774
Fresh000
Picked123
Done044
Total76912781
Accuracy
100.0%
Counts
781 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
99.6%
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
99.7%
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
99.6%
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))))
99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
99.6%
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
99.9%
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
100.0%
(expm1.f64 x)
98.5%
x
Compiler

Compiled 602 to 190 computations (68.4% saved)

regimes19.0ms (0.3%)

Counts
20 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

3 calls:

6.0ms
x
6.0ms
(exp.f64 x)
5.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
100.0%1(exp.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes8.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))))
Outputs
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)))
Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
Outputs
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Rules
58×*-commutative_binary64
44×+-commutative_binary64
24×sub-neg_binary64
24×distribute-lft-neg-in_binary64
24×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042128
183128
2102128
3122128
4152128
5164128
6170128
7171128
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 x)
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x
Outputs
(expm1.f64 x)
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x)
(+.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x)
(+.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
x

soundness1.1s (15.6%)

Rules
4192×*-lowering-*.f32
4192×*-lowering-*.f64
3950×*-lowering-*.f32
3950×*-lowering-*.f64
3810×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02932090
19941827
229701805
084351805
02250
17244
219041
346541
497841
5140141
6155741
7155941
0155941
01568
19157
269357
3716657
0879657
020113
113793
2129090
0813190
042
1102
2112
0112
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 340 to 194 computations (42.9% saved)

preprocess56.0ms (0.8%)

Compiler

Compiled 274 to 96 computations (65% saved)

end0.0ms (0%)

Profiling

Loading profile data...